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1##################### generated by xml-casa (v2) from image.xml ##################### 

2##################### 3ea432f56e8db3bb8bb80f239a929b71 ############################## 

3from __future__ import absolute_import 

4from .__casac__.image import image as _image 

5 

6from .errors import create_error_string 

7from .typecheck import CasaValidator as _validator 

8_pc = _validator( ) 

9from .coercetype import coerce as _coerce 

10from .coordsys import coordsys as _wrap_coordsys 

11from .componentlist import componentlist as _wrap_componentlist 

12_wrap_image = lambda swig_object: image(swig_object=swig_object) 

13 

14class image: 

15 _info_group_ = """images""" 

16 _info_desc_ = """Operations on images""" 

17 ### self 

18 def __init__(self, *args, **kwargs): 

19 """ 

20 """ 

21 self._swigobj = kwargs.get('swig_object',None) 

22 if self._swigobj is None: 

23 self._swigobj = _image() 

24 

25 def newimage(self, infile): 

26 """This method is identical to ia.newimagefromfile(). The description of how it works is in the help for that method. 

27 """ 

28 return _wrap_image(swig_object=self._swigobj.newimage(infile)) 

29 

30 def newimagefromfile(self, infile): 

31 """This method returns an image analysis tool associated with the specified image. 

32 Constructing a image analysis tool in addition to the default ia tool allows the 

33 user to operate on multiple images simultaneously. All ia.newimagefrom*() 

34 methods share this behavior. 

35  

36 The parameter infile may refer to a CASA image, a Miriad image, or a FITS image. 

37 FITS images of types Float are supported. 

38  

39 When finished with the newly created tool, the user should close it to free 

40 up system resources (eg memory). 

41  

42 ia.newimage() is an alias for this method. 

43 """ 

44 return _wrap_image(swig_object=self._swigobj.newimagefromfile(infile)) 

45 

46 def imagecalc(self, outfile='', pixels='', overwrite=False, imagemd='', prec='float'): 

47 """This method is used to evaluate a mathematical expression involving 

48 existing images. It fully supports float, double, and complex float, and complex 

49 double valued images. 

50 The syntax of the expression supplied via the pixels 

51 parameter (in what is called the Lattice Expression Language, or LEL) is 

52 explained in detail in htmladdnormallink{note 

53 223}{http://aips2.nrao.edu/docs/notes/223/223.html}. This is a rich 

54 mathematical language with allows all manner of mathematical operations 

55 to be applied to images. 

56  

57 Any image files embedded in the expression may be native casa or 

58 fits (but not yet Miriad) images. 

59  

60 If successful, this method always returns an image analysis tool that 

61 references the image resulting from the calculation. This returned tool 

62 should always be captured and closed as soon as the user is done with it 

63 to free up system resources (eg, memory). The image analysis tool on which 

64 the method is called (eg the ia tool when one runs ia.imagecalc()) remains 

65 unaltered, eg it still refers to the same image it did prior to the imagecalc() 

66 call. 

67  

68 Values of the returned tool are evaluated "on demand". That is, only when a method 

69 is run on the returned tool are the necessary values computed. And in fact, the 

70 values have to be reevaluated for each operation (method call). This means that 

71 there is a small performance hit for using the returned tool rather than the image 

72 written to disk and that none of the images which were used in the expression 

73 should be deleted while the returned tool is in use because they must be accessed 

74 for calculating the expression each time an operation of the returned tool is 

75 performed. These limitations do not apply to the ouput image if one is specified 

76 with the outfile parameter; it is a genuine CASA image with 

77 numerical values. If outfile is blank, no ouput image is written (although 

78 the resulting image can still be accessed via the returned image analysis tool 

79 as described below). 

80  

81 Normally you should just write the image, close the returned 

82 tool, and open the results image with the default ia tool and operate on it. If 

83 you are interested in conserving disk space, you don't need to keep the result of 

84 the calculation around for very long, and/or you are only going to do a small 

85 number of operations on the result image, should you set outfile="". 

86  

87 Note that when multiple image are used in the expression, there is 

88 no garauntee about which of those images will be used to create the metadata 

89 of the output image, unless imagemd is specified. If imagemd is specified, the following 

90 rules of metadata copying will be followed: 

91  

92 1. The pixel data type of the image specified by imagemd and the output image must 

93 be the same. 

94 2. The metadata copied include the coordinate system (and so of course the dimensionality of 

95 the output image must correspond to the coordinate system to be copied), the image_info record 

96 (which contains things like the beam(s)), the misc_info record (should one exist in the image 

97 specified by imagemd), and the units. 

98 3. If the output image is a spectral image, the brightness units are set to the empty string. 

99 4. If the ouptut image is a polarization angle image, the brightness unit is set to "deg" and 

100 the stokes coordinate is set to have a single plane of type of Pangle. 

101  

102 The precision (float or double) of the output image pixels is determined by 

103 the value specified by the prec parameter. The domain (real or complex) of 

104 the output pixel values is determined from the expression. 

105  

106  

107 """ 

108 return _wrap_image(swig_object=self._swigobj.imagecalc(outfile, pixels, overwrite, imagemd, prec)) 

109 

110 def collapse(self, function='', axes=[ ], outfile='', region='', box='', chans='', stokes='', mask='', overwrite=False, stretch=False): 

111 """This method collapses an image along a specified axis or set of axes of length N pixels to a single pixel on each 

112 specified axis. Both float valued and complex valued images are supported. It computes a user-specified aggregate 

113 function for pixel values along the specified axes, and places those values in the single remaining plane of 

114 those axes in the output image. The method returns an image analysis tool containing the newly-created collapsed 

115 image. Valid choices of aggregate functions are: 'flux' (see below for constraitns), 'madm' (median absolute 

116 deviation from the median), 'max', 'mean', 'median', 'min', 'npts', 'rms', 'stddev', 'sum', 'variance' and 'xmadm' 

117 (median absolute deviation from the median multipied by x, where x is the reciprocal of Phi^-1(3/4), where Phi^-1 

118 is the reciprocal of the quantile function. Numerically, x = 1.482602218505602. See, eg, 

119 https://en.wikipedia.org/wiki/Median_absolute_deviation#Relation_to_standard_deviation). Minimal unique matching is 

120 supported for the function parameter (e.g. function = 'r' will compute the rms of the pixel values, 'med' will 

121 compute the median, etc.). 

122  

123 If one specifies function='flux', the following constraints must be true: 

124  

125 1. The image must have a direction coordinate, 

126 2. The image must have at least one beam, 

127 3. The specified axes must be exactly the direction coordinate axes, 

128 4. Only one of the non-directional axes may be non-degenerate, 

129 5. The iamge brightness unit must be conformant with x*yJy/beam, where x is an optional unit (such as km/s for moments images) 

130 and y is an optional SI prefix. 

131  

132 Axes may be specified as a single integer or an array of integers indicating the zero-based 

133 axes along which to collapse the image. Axes may also be specified as a single or array of strings which 

134 minimally and uniquely match (ignoring case) world axis names in the image (e.g. 'dec' for 

135 collapsing along the declination axis or ['ri', 'd'] for collapsing along both the right ascension and 

136 declination axes). 

137  

138 If outfile is not specified (or contains only whitespace characters), no image is written but the 

139 collapsed image is still accessible via the image analysis tool this method always returns (which 

140 references the collapsed image). If the returned object is not wanted, it should still be 

141 captured and destroyed via its done() method. If this is not done, there is no guarantee 

142 as to when the Python garbage collector will delete it. If the returned object is wanted, it 

143 should still be deleted as soon as possible for the same reasons, e.g. 

144  

145 collapsed_image = ia.collapse(...) 

146 begin{verbatim} 

147 # do things (or not) with the collapsed_image and when finished working with the object, do 

148 end{verbatim} 

149 collapsed_image.done() 

150  

151 The reference pixel of the collapsed axis is set to 0 and its reference value is set to the mean 

152 of the the first and last values of that axis in the specified region of the input image. The 

153 reference value is the world coordinate value of the reference pixel. For instance, if an axis 

154 to be collapsed were to be the frequency axis, in the collapsed image, the reference value would 

155 be the mean value of the frequency range spanned, and would be stored in pixel 0. 

156  

157 If the input image has per plane beams, the beam at the origin of the subimage determined by 

158 the selected region is arbitrarily made the global beam of the output image. In general, the user 

159 should understand the pitfalls of collapsing images with multiple beams (i.e. that employing an 

160 aggregate function on pixels with varying beam sizes more often than not leads to ill-defined 

161 results). Convolution to a common beam is not performed automatically as part of the preprocessing 

162 before the actual rebinning occurs. In such cases, therefore, the user should probably first 

163 convolve the input image with a common restoring beam so that each plane has the same resolution, 

164 and/or use imsmooth to smooth the data to have the same beam. 

165  

166  

167 """ 

168 return _wrap_image(swig_object=self._swigobj.collapse(function, axes, outfile, region, box, chans, stokes, mask, overwrite, stretch)) 

169 

170 def decimate(self, outfile='', axis=int(0), factor=int(1), method='copy', region='', mask='', overwrite=False, stretch=False): 

171 """This application removes planes along the specified axis of an image. It supports both float valued and complex 

172 valued images. The factor parameter represents the factor by which to reduce the number 

173 of planes. 

174  

175 The method parameter represents how to calculate the pixel values of the output image. A 

176 value of method="copy" means that every factorth plane of the selected region in the input 

177 image will be directly copied to the corresponding plane in the output image. So, if one 

178 wanted to copy every third spectral plane in the input image to the output image, one would 

179 specify factor=3 and method="copy". If the selected region along the specified axis had 11 

180 planes, then there would be 4 output planes which would map to planes 0, 3, 6, and 9 of 

181 the specified region of input image. A value of method="mean" indicates that each of 

182 factor number of planes in the range starting at each factorth plane should be averaged to 

183 produce the corresponding output plane. So, if one specified factor=3 and method="mean" along 

184 an axis of the selected region of the input image which had 11 pixels, the corresponding axis 

185 in the output image would have three pixels and the pixel values for each of those output 

186 planes would corresponding to averaging along that axis planes 0-2, 3-5, and 6-8 of the 

187 selected region of the input image. Note that the remaining planes, 9 and 10, in the selected 

188 region of the input image would be ignored because the last interval must have exactly 

189 factor number of planes in order to be included in the output image. 

190  

191 The coordinate system of the output image takes into account the decimation; that is, along the 

192 decimated axis, the increment of the output image is factor times that of the input image, and 

193 the reference pixel of the output image is located at pixel 1/factor times the reference pixel 

194 in the input image. 

195  

196 This method returns an image analysis tool which references the output image. If this tool 

197 is not desired, one should capture it anyway and then close() it immediately to free up 

198 resources. 

199  

200 Images with multiple beams are not supported; please convolve a multi-beam image to a single 

201 resolution before running this application. 

202  

203 """ 

204 return _wrap_image(swig_object=self._swigobj.decimate(outfile, axis, factor, method, region, mask, overwrite, stretch)) 

205 

206 def dohistory(self, enable=True): 

207 """This allows control over if tool methods record history of what parameters they were called 

208 with to the input and/or output image. By default, tool methods will write to the image 

209 history. By explicitly disabling history writing, tool methods will not write to the history. 

210 When created, an ia tool will have history writing enabled. Note that the setting is specific 

211 to the individual tool, and that methods such as open(), close(), done(), fromshape(), etc do 

212 not implicitly change the internal state of whether or not history writing by methods is 

213 enabled. One can explicitly enable/disable history writing even if the tool is not yet attached 

214 to an image. In the case where a method returns a new ia tool, the method will not write history 

215 to the output image, but the returned tool will have history writing enabled, so that running 

216 methods on the returned tool will cause history to be written to the image attached to that 

217 tool, or any new image created by running methods on that tool, unless dohistory(False) is 

218 explicitly run on that tool prior to running other methods. 

219  

220 IMPORTANT NOTE: This setting will not affect the behavior of ia.sethistory(); this tool 

221 method will always write to the history, no matter if ia.dohistory(False) was run prior. 

222  

223 """ 

224 return self._swigobj.dohistory(enable) 

225 

226 def imageconcat(self, outfile='', infiles=[ ], axis=int(-1), relax=False, tempclose=True, overwrite=False, reorder=False, mode='paged'): 

227 """This application is used to concatenate two or more input CASA 

228 images into one output image. For example, if you have two image cubes 

229 which are contiguous along one axis (say a spectral axis) and you would 

230 like to glue them together along this axis, then this function is the 

231 appropriate thing to use. 

232  

233 The axis parameter is used to specify which zero-based axis the images 

234 should be concatenated along. A negative value indicates that the 

235 spectral axis should be used. If a negative value is given but there is no 

236 spectral axis, an exception will be thrown. The zero-based order of the 

237 axes of an image can be determined from ia.coordsys().names(). 

238  

239 If successful, this method will return an image analysis tool referencing 

240 the concatenated image. Even if it is not wanted, the returned tool should 

241 be captured and closed as soon as the user is finished with it to free up 

242 system resources (eg memory). 

243  

244 If outfile is given, the image is written to the specified 

245 disk file. If outfile is unset, the on-the-fly image tool 

246 created by the method actually references all of the input files. 

247 So if you deleted any of the input image disk files, it would render 

248 this tool useless. Note that a blank outfile name may only be given 

249 in the case where mode='p' (see below). When you destroy this tool 

250 done() method, the reference connections are broken. 

251  

252 The input and output images must be of the same dimensionality. Therefore, 

253 if you wish to concatenate 2-D images into a 3-D image, the 2-D images 

254 must have a third axis (of length unity) so that the output image 

255 coordinates are known along the concatenation axis. 

256  

257 The input images are concatenated in the order in which they are listed unless 

258 the reorder parameter is set to True. If True, the images are reordered if necessary 

259 so that the world coordinate values along the selected axis monotonically increase 

260 or decrease. The direction of the increment is determined by the first listed image. 

261 If reorder=True, the world coordinate ranges of the images along the selected axis 

262 are not permitted to overlap, and the signs of the increments for this axis in all 

263 images must be the same. If reorder=False, the coordinate system of the first listed 

264 image is used as the coordinate system for the output image. If reorder=True, the 

265 coordinate system of the first image in the list of the reordered images is used 

266 as the coordinate system of the output image. Setting reorder=True can be especially 

267 useful if the infiles are specified using a wildcard character(s). 

268  

269 If relax=False, the input images are checked to see that they are 

270 contiguous along the concatenation axis and an exception is thrown if 

271 they are not. In addition, the coordinate descriptors (e.g. reference 

272 pixel, reference value etc) for the non-concatenation axes must be the 

273 same or an error will result. 

274  

275 The input disk image files may be in native (CASA or FITS) formats. 

276  

277 The contiguous criterion and coordinate descriptor equality criteria can 

278 be relaxed by setting relax=True whereupon only warnings will be 

279 issued. Dimension and shape must still be the same though. When the 

280 concatenation axis is not contiguous (but still monotonically increasing 

281 or decreasing) and relax=True, a tabular coordinate will be used 

282 to correctly describe the axis. But be aware that it means adjacent 

283 pixels are not regularly spaced. However, methods like toworld() and 

284 topixel() will correctly interconvert world and pixel coordinates. 

285  

286 In giving the input image names, the infiles argument can be a 

287 single string if you wild card it with standard shell symbols. For 

288 example, infiles='cena_???.*', where the '?' represents one 

289 character and '*' any number of characters. 

290  

291 Otherwise, you must input a vector of strings such as 

292 infiles="cena1 cena2 cena3". An input such as infiles='files1,file2' 

293 will be interpreted as one string naming one file and an exception will 

294 be thrown. The reason for this is that although the latter could be 

295 parsed to extract two file names by recognizing comma delimiters, it 

296 is not possible because an expression such as infiles='cena.{a,b}' 

297 (meaning files of name 'cena.a' and 'cena.b') would confuse such 

298 parsing (you would get two files of name cena.{a} and {sff b}. 

299  

300 You can look at the coordinate system of the output image using the 

301 ia.summary() method to ensure it's correct. 

302  

303 The parameter tempclose is, by default, True. This means that 

304 all internal reference copies of the input images are kept closed until 

305 they are needed. Then they are opened temporarily and then closed again. 

306 This enables you to effectively concatenate as many images as you like 

307 without encountering any operating system open file number limits. 

308 However, it comes at some performance loss, because opening and closing 

309 all those files takes time. If you are concatenating a smallish number 

310 of files, you might use tempclose=False. This will leave all internal 

311 reference copies permanently open, but performance, if you don't hit the 

312 file limit, will be better. 

313  

314 The mode parameter controls the format of the output image. If mode='p', 

315 then a "paged" (normal persistent CASA format) image in which all the 

316 pixel values and metadata are copied to a single image is created. All 

317 the other modes will create a "virtual concat" image. In this format, 

318 a directory, named outfile, is created to store metadata about each image. 

319 The metadata are placed in a file in this directory named imageconcat.json, 

320 which is a plain text file in JSON format. In the json file are pointers 

321 to the actual disk images that make up the virtual concat image. In the 

322 case of mode='c' (copy), alll the disk images are copied to the outfile 

323 directory and the json file references the images in the outfile directory. 

324 In the case of mode='m' (move), the disk images are instead moved to the 

325 outfile directory, and again the json file references the images in the 

326 outfile directory. These two modes make it simple to deal with the 

327 virtual concat image as a single unit, for example, if the user needs 

328 to move the image or tar it up, the resulting moved image or untarred file 

329 will be accessible by the image tool as a valid image. The final option, 

330 mode='n' (no copy) means the output directory only contains the json file 

331 and references the input image paths as given. In this case, moving the 

332 outfile directory without moving the reference images will normally cause 

333 problems, especially if the input images were given using relative path 

334 names. So, one must think carefully if mode='n' will be the correct option 

335 for their use case in the long run. 

336  

337 This method requires multiple images which are specified with the infiles 

338 parameter. Therefore calling ia.open() is not necessary, although calling 

339 imageconcat() using an already open image analysis tool will work and the 

340 state of that tool (eg the image it references) will not be changed. 

341 """ 

342 return _wrap_image(swig_object=self._swigobj.imageconcat(outfile, infiles, axis, relax, tempclose, overwrite, reorder, mode)) 

343 

344 def fromarray(self, outfile='', pixels=[ ], csys={ }, linear=False, overwrite=False, log=True, type='f'): 

345 """This application converts a numerical numpy array of any size and dimensionality 

346 into a CASA image. It will create float, double, complex-float, and complex-double 

347 valued images. 

348  

349 The image analysis tool on which this method is called will reference the created 

350 image; if this tool referenced another image before this call, that image will no 

351 longer be referenced by the tool after the creation of the new image. If you 

352 would rather have a new image analysis tool returned, keeping the one on which 

353 this method is called unaltered, use newimagefromarray() instead. If outfile is 

354 specified, a persistent image is written to disk, if not, the image tool on 

355 which this method was called will reference a temporary image (either in memory 

356 or on disk, depending on its size) that will be deleted when the tool is closed. 

357  

358 The type parameter controls the data type/precision of the pixel values of the 

359 created image. 'f' indicates that float precision point (32 bit precision) pixel 

360 values should be writted. 'd' indicates that double precision (64 bit precision) 

361 pixel values should be written. If the input array has complex (as opposed to 

362 real) values, then complex pixel values, with each of the real and imaginary 

363 parts having the specified precision, will be written. Array values will be cast 

364 automatically to the specified precision, so that the precision of the input 

365 array values may be increased, decreased, or unchanged depending on the input 

366 array type. 

367  

368 The coordinate system, provided as a a dictionary (use eg, cs.torecord() to do 

369 that), is optional. If specified, it must have the same number of dimensions 

370 as the pixels array. Call the naxes() method on the coordinate system tool to 

371 see how many dimensions the coordinate system has. A coordinate system can be 

372 created from scratch using the coordinate system (cs) tool and methods therein, 

373 but often users prefer to use a coordinate system from an already existing image. 

374 This can be gotten using ia.coordsys() which returns a coordinate system tool. 

375 A torecord() call on that tool will result in a python dictionary describing 

376 the coordinate system which is the necessary format for the csys input parameter 

377 of ia.fromarray(). 

378  

379 If csys is not specified, a default coordinate system will be created. If 

380 linear=False (the default), the created coordinate system will have standard 

381 RA/DEC/Stokes/Spectral Coordinate axes depending upon the shape of the pixels 

382 array (Stokes axis must be no longer than 4 pixels and the spectral axis may 

383 precede the Stokes axis if eg, shape=[64,64,32,4]. Extra dimensions are given 

384 linear coordinates. If linear=True, then all the resulting coordinates 

385 are linear with the axes represent lengths. In this case each axis will have a 

386 value of 0.0 at its center pixel. The increment of each axis will be 1.0 km. 

387  

388 The method returns True if creation of the image was successful, False otherwise, 

389 so a check can be made programmatically if the image creation was successful. 

390 """ 

391 return self._swigobj.fromarray(outfile, pixels, csys, linear, overwrite, log, type) 

392 

393 def fromcomplist(self, outfile='', shape=[ ], cl='', csys={ }, overwrite=False, log=True, cache=True): 

394 """This method allows one to create an image based on a component list. A component list 

395 is a list of simple models (point sources, Gaussians, disks, etc) that describe the 

396 sky brightness (cf the component list (cl) tool). Images that can be described in this 

397 way normally require significantly less space to store than traditional images in which 

398 all the pixel values are stored. For a component list image, pixel values are computed 

399 "on the fly". Pixel values can be cached by specifying cache=True (the default value) 

400 while the image is attached to an image tool, which permits faster access to them after 

401 they are computed the first time. The trade off to caching is that resources such as 

402 memory and disk space must be used to cache the pixel values. 

403  

404 The image is constrained to have two, three, or four dimensions. One must specify an 

405 image shape (the dimensionality of which must adhere to this constraint). One may also 

406 supply a coordinate system specification using the csys parameter. If a coordinate system 

407 is not specified, a default coordinate system is used. If specified, the coordinate system 

408 must have a direction coordinate which has two pixel axes. It can also have a spectral 

409 and/or polarization coordinate. The maximum length of the polarization coordinate is four 

410 pixels, and the world coordinate values of the polarization coordinate are constrained to 

411 be in the set of stokes parameters I, Q, U, and V. 

412  

413 As is common with image creation methods, specifying an empty string for the outfile parameter 

414 results in a tempoary image being created that will be deleted when either the done() or 

415 close() method is run on the tool. By specifying a non-empty string, the image is saved to 

416 disk and can be opened with the open() method later. A persistent component list image is 

417 composed of a component list table that has metadata describing the image-related information, 

418 such as the coordinate system and the shape, as well as a history (log) table. 

419  

420 Because pixel values are computed from the component models, altering pixel values is not 

421 supported. So methods such as putchunk(), putregion(), and addnoise() will fail on component 

422 list images when trying to modify pixel values. However, persistent image masks and on the fly 

423 masks are fully supported. 

424  

425 The brightness unit of a component list image is constrained to be "Jy/pixel". Attempts to 

426 modify this value using setbrightnessunit() will fail. 

427  

428 Component list images do not support synthesized beams; attempting to run setrestoringbeam() on 

429 a component list image to add a beam(s) will fail. 

430  

431 One can easily create an image in which the pixel values are persistently stored from a 

432 component list image by running methods such as fromimage(), subimage(), tofits(), etc. In 

433 general, any method run on a component list image that creates a new image will create a 

434 non-component list image (eg, a traditional CASA Paged image or Temporary image) in which the 

435 pixel values are explicitly stored. 

436  

437 DISK MODELS 

438  

439 Pixels with centers inside the disk will have the same values, even if a pixel straddles the 

440 edge of the disk. Pixels with straddle the edge of the disk which have centers outside the 

441 disk are given values of zero. Thus, one should not expect the flux density of the disk to 

442 be exactly the provided value to the component list; for a given size disk, the computed flux 

443 density will be closer to the expected value for images with smaller pixels. 

444  

445  

446 """ 

447 return self._swigobj.fromcomplist(outfile, shape, cl, csys, overwrite, log, cache) 

448 

449 def fromfits(self, outfile='', infile='', whichrep=int(0), whichhdu=int(0), zeroblanks=False, overwrite=False): 

450 """This function is used to convert a FITS disk image file (Float, 

451 Double, Short, Long are supported) to an 

452 casa imagefile. If {stfaf outfile} is given, the image is written 

453 to the specified disk file. If {stfaf outfile} is unset, the Image 

454 tool is associated with a temporary image. This temporary image may 

455 be in memory or on disk, depending on its size. When you close the 

456 Image tool (with the close function) this 

457 temporary image is deleted. 

458  

459 This function reads from the FITS primary array (when the image is at 

460 the beginning of the FITS file; {stfaf whichhdu=0}), or an image 

461 extension (when the image is elsewhere in the FITS file, {stfaf 

462 whichhdu $>$ 0}). 

463  

464 By default, any blanked pixels will be converted to a mask value which 

465 is false, and a pixel value that is NaN. If you set {stfaf 

466 zeroblanks=T} then the pixel value will be zero rather than NaN. The 

467 mask will still be set to false. See the function 

468 replacemaskedpixels if you 

469 need to replace masked pixel values after you have created the image. 

470 """ 

471 return self._swigobj.fromfits(outfile, infile, whichrep, whichhdu, zeroblanks, overwrite) 

472 

473 def fromimage(self, outfile='', infile='', region=[ ], mask='', dropdeg=False, overwrite=False): 

474 """This function applies a region to an imagefile, creates a new 

475 imagefile containing the (sub)image, and associates the imagetool 

476 with it. 

477  

478 The input image file may be in native casa, fits, or Miriad 

479 format. Look htmlref{here}{IMAGES:FOREIGNIMAGES} for more 

480 information on foreign images. 

481  

482 If {stfaf outfile} is given, the (sub)image is written to the specified 

483 disk file. 

484  

485 If {stfaf outfile} is unset, the Image tool actually references 

486 the input image file. So if you deleted the input image disk file, it 

487 would render this tool useless. When you close this tool 

488 (with the close function) 

489 the reference connection is broken. 

490  

491 Sometimes it is useful to drop axes of length one (degenerate axes). 

492 Use the {stfaf dropdeg} argument if you want to do this. 

493  

494 The output mask is the combination (logical OR) of the default input 

495 pixelmask (if any) and the OTF mask. Any other input pixelmasks 

496 will not be copied. Use function 

497 maskhandler if you need to copy other 

498 masks too. 

499  

500 See also the subimage function. 

501 """ 

502 return self._swigobj.fromimage(outfile, infile, region, mask, dropdeg, overwrite) 

503 

504 def fitsheader(self, retstr=False, exclude=[ ]): 

505 """This method constructs a FITS header dictionary which describes the current image. The 

506 exclude parameter can either be a string or a list of strings. It indicates FITS header 

507 keywords to exclude. This may be useful for the HISTORY keyword because the HISTORY can 

508 be very long. If the retstr parameter is set to True, then a string will be returned 

509 representing the FITS header. The exculde parameter has no effect when the header 

510 information is returned as a single string. An new IMAGENME keyword is added to the 

511 header. The value for IMAGENME is the string returned by name method, but the name is 

512 truncated to the maximum size for a FITS header value, 68 characters. The image name 

513 is truncated from the beginning of the string to reduce it to 68 characters, so the 

514 value will contain either the full name or the final 68 characters of the name. 

515 """ 

516 return self._swigobj.fitsheader(retstr, exclude) 

517 

518 def fromshape(self, outfile='', shape=[ int(0) ], csys={ }, linear=False, overwrite=False, log=True, type='f'): 

519 """This function creates a CASA image with the specified shape. All the pixel 

520 values in the image are set to 0. One may create an image with float precision 

521 pixels (type='f'), complex float precision pixels (type='c'), double precision 

522 pixels (type='d'), or complex double precision pixels ('cd'). To use a numpy 

523 array of values to create an image, use ia.fromarray(). To make a 2-D image from 

524 a packaged FITS file, use ia.maketestimage(). 

525  

526 If outfile is given, the image is written to the specified disk file. If 

527 outfile is unset, the image analysis tool is associated with a temporary image. 

528 This temporary image may be in memory or on disk, depending on its size. When 

529 you close the image analysis tool (with the ia.close() method, the temporary 

530 image is deleted. 

531  

532 The coordinate system, provided as a coordinate system tool record, is optional. 

533 If provided, it must be dimensionally consistent with the specified shape. 

534  

535 If the coordinate system is not provided, a default coordinate system will be 

536 created. If linear=False (the default), then it is a 

537 standard RA/DEC/Stokes/Spectral coordinate system depending exactly upon the 

538 shape (the Stokes axis must be no longer than 4 pixels and spectral axis may 

539 occur prior to the Stokes axis if eg, shape=[64,64,32,4]. Extra dimensions are 

540 given linear coordinates. If linear=True, then the coordinate system will have 

541 linear coordinates. 

542  

543 The method returns True if successful, False otherwise. 

544 """ 

545 return self._swigobj.fromshape(outfile, shape, csys, linear, overwrite, log, type) 

546 

547 def maketestimage(self, outfile='', overwrite=False): 

548 """This function converts a FITS file resident in the casa system into 

549 a casa image. 

550  

551 If outfile is given, the image is written to the specified disk 

552 file. If outfile is unset, the Image tool is associated with a 

553 temporary image. This temporary image may be in memory or on disk, 

554 depending on its size. When you close the Image tool (with the close 

555 function) this temporary image is deleted. 

556 """ 

557 return self._swigobj.maketestimage(outfile, overwrite) 

558 

559 def deviation(self, outfile='', region='', mask='', overwrite=False, stretch=False, grid=[ int(1),int(1) ], anchor='ref', xlength='1pix', ylength='1pix', interp='cubic', stattype='sigma', statalg='classic', zscore=float(-1), maxiter=int(-1)): 

560 """This application creates an image that reflects the statistics of the input image. The output image has 

561 the same dimensions and coordinate system as the (selected region in) input image. The grid parameter 

562 describes how many pixels apart "grid" pixels are. Statistics are computed around each grid pixel. Grid 

563 pixels are limited to the direction plane only; independent statistics are computed for each direction plane 

564 (ie at each frequency/stokes pixel should the input image happen to have such additional axes). Using the 

565 xlength and ylength parameters, one may specify either a rectangular or circular region around each grid 

566 point that defines which surrounding pixels are used in the statistic computation for individual grid points. 

567 If the ylength parameter is the empty string, then a circle of diameter provided by xlength centered on 

568 the grid point is used. If ylength is not empty, then a rectangular box of dimensions xlength x ylength centered 

569 on the grid pixel is used. These two parameters may be specified in pixels, using either numerical values or 

570 valid quantities with "pix" as the unit (eg "4pix"). Otherwise, they must be specified as valid angular 

571 quantities, with recognized units (eg "4arcsec"). As with other region selections in CASA, full pixels are 

572 included in the computation even if the specified region includes only a fraction of that pixel. BEWARE OF 

573 MACHINE PRECISION ISSUES, because you may get a smaller number of pixels included in a region than you 

574 expect if you specify, eg, an integer number of pixels. In such cases, you probably want to specify that 

575 number plus a small epsilon value (eg "2.0001pix" rather than "2pix") to mitigate machine precision issues 

576 when computing region extents. 

577  

578 The output image is formed by putting the statistics calculated at each grid point at the corresponding 

579 grid point in the output image. Interpolation of these output values is then used to compute values at 

580 non-grid-point pixels. The user may specify which interpolation algorithm to use for this computation 

581 using the interp parameter. 

582  

583 The input image pixel mask is copied to the output image. If interpolation is performed, output pixels are 

584 masked where the interpolation fails. 

585  

586 ANCHORING THE GRID 

587  

588 The user may choose at which pixel to "anchor" the grid. For example, if one specifies grid=[4,4] and 

589 anchor=[0,0], grid points will be located at pixels [0,0], [0,4], [0,8] ... [4,0], [4,4], etc. This 

590 is exactly the same grid that would be produced if the user specified anchor=[4,4] or anchor=[20,44]. 

591 If the user specifies anchor=[1, 2] and grid=[4,4], then the grid points will be at pixels [1,2], [5,2], 

592 [9,2]... [5,2], [5,6], etc. and the resulting grid is the same as it would be if the user specified eg 

593 anchor=[9,10] or anchor=[21, 18]. The value "ref", which is the default, indicates that the reference 

594 pixel of the input image should be used to anchor the grid. The x and y values of this pixel will be 

595 rounded to the nearest integer if necessary. 

596  

597 SUPPORTED STATISTICS AND STATISTICS ALGORITHMS 

598  

599 One may specify which statistic should be represented using the stattype parameter. The following values 

600 are recognized (minimum match supported): 

601  

602 +--------------------+-------------------------------------------------------------------------------------------------------+ 

603 | iqr | inner quartile range (q3 - q1) | 

604 +--------------------+-------------------------------------------------------------------------------------------------------+ 

605 | max | maximum | 

606 +--------------------+-------------------------------------------------------------------------------------------------------+ 

607 | mean | mean | 

608 +--------------------+-------------------------------------------------------------------------------------------------------+ 

609 | medabsdevmed, madm | median absolute deviation from the median | 

610 +--------------------+-------------------------------------------------------------------------------------------------------+ 

611 | median | median | 

612 +--------------------+-------------------------------------------------------------------------------------------------------+ 

613 | min | minimum | 

614 +--------------------+-------------------------------------------------------------------------------------------------------+ 

615 | npts | number of points | 

616 +--------------------+-------------------------------------------------------------------------------------------------------+ 

617 | q1 | first quartile | 

618 +--------------------+-------------------------------------------------------------------------------------------------------+ 

619 | q3 | third quartile | 

620 +--------------------+-------------------------------------------------------------------------------------------------------+ 

621 | rms | rms | 

622 +--------------------+-------------------------------------------------------------------------------------------------------+ 

623 | sigma, std | standard deviation | 

624 +--------------------+-------------------------------------------------------------------------------------------------------+ 

625 | sumsq | sum of squares | 

626 +--------------------+-------------------------------------------------------------------------------------------------------+ 

627 | sum | sum | 

628 +--------------------+-------------------------------------------------------------------------------------------------------+ 

629 | var | variance | 

630 +--------------------+-------------------------------------------------------------------------------------------------------+ 

631 | xmadm | median absolute deviation from the median multipied by x, where x is the reciprocal of Phi^-1(3/4), | 

632 | | where Phi^-1 is the reciprocal of the quantile function. Numerically, x = 1.482602218505602. See, eg, | 

633 | | https://en.wikipedia.org/wiki/Median_absolute_deviation#Relation_to_standard_deviation | 

634 +--------------------+-------------------------------------------------------------------------------------------------------+ 

635  

636 Using the statalg parameter, one may also select whether to use the Classical or Chauvenet/ZScore statistics algorithm to 

637 compute the desired statistic (see the help for ia.statistics() or imstat for a full description of these algorithms). 

638  

639  

640 """ 

641 return _wrap_image(swig_object=self._swigobj.deviation(outfile, region, mask, overwrite, stretch, grid, anchor, xlength, ylength, interp, stattype, statalg, zscore, maxiter)) 

642 

643 def adddegaxes(self, outfile='', direction=False, spectral=False, stokes='', linear=False, tabular=False, overwrite=False, silent=False): 

644 """This method adds degenerate axes (i.e. 

645 axes of length 1) of the specified type. Sometimes this can be useful 

646 although you will generally need to modify the coordinate system of the 

647 added axis to give it the coordinate you want (do this with the 

648 Coordsys tool). This method supports 

649 both float and complex valued images. 

650  

651 You specify which type of axes you want to add. You can't add 

652 an axis type that already exists in the image. For the Stokes axis, 

653 the allowed value (a string such as I, Q, XX, RR) can be found in the 

654 Coordsys newcoordsys function documentation. 

655  

656 If {stfaf outfile} is given, the image is written to the specified 

657 disk file. If {stfaf outfile} is unset, the on-the-fly Image tool 

658 returned by the function is associated with a temporary image. This 

659 temporary image may be in memory or on disk, depending on its size. 

660 When you destroy the generated Image tool (with the done function) this 

661 temporary image is deleted. 

662 """ 

663 return _wrap_image(swig_object=self._swigobj.adddegaxes(outfile, direction, spectral, stokes, linear, tabular, overwrite, silent)) 

664 

665 def addnoise(self, type='normal', pars=[ float(0.0),float(1.0) ], region={ }, zero=False, seeds=[ ]): 

666 """This function adds noise to the image. You may zero the image first 

667 before the noise is added if you wish. 

668  

669 The noise can be drawn from one of many distributions. 

670  

671 For each distribution, you must supply the type via the {stfaf type} 

672 argument (minimum match is active) and parameters via the {stfaf 

673 pars} argument. Briefly: 

674  

675 begin{itemize} 

676  

677 item {binomial} -- the binomial distribution models successfully drawing 

678 items from a pool. Specify two parameters, $n$ and $p$, respectively. 

679 $n$ is the number of items in the pool, and $p$, is the probability of 

680 each item being successfully drawn. It is required that $n > 0$ and 

681 $0 le p le 1$. 

682  

683 item {discreteuniform} -- models a uniform random variable over the closed interval. Specify 

684 two parameters, the low and high values, respectively. 

685 The low parameter is the lowest possible return value and 

686 the high parameter is the highest. It is required that $low < high$. 

687  

688 item {erlang} -- Specify two parameters, the mean and variance, 

689 respectively. It is required that the mean is non-zero and the variance 

690 is positive. 

691  

692 item {geometric} -- Specify one parameter, the probability. 

693 It is required that $0 le probability < 1$. 

694  

695 item {hypergeometric} -- Specify two parameters, the mean and the variance. 

696 It is required that the variance is positive and that the mean is non-zero 

697 and not bigger than the square-root of the variance. 

698  

699 item {normal} -- Specify two parameters, the mean and the variance. 

700 It is required that the variance is positive. 

701  

702 item {lognormal} -- Specify two parameters, the mean and the variance. 

703 It is required that the supplied variance is positive and that the mean is non-zero. 

704  

705 item {negativeexponential} -- Supply one parameter, the mean. 

706  

707 item {poisson} -- Specify one parameter, the mean. 

708 It is required that the mean is non-negative. 

709  

710 item {uniform} -- Model a uniform random variable over a closed 

711 interval. Specify two parameters, the low and high values. The low 

712 parameter is the lowest possible return value and the high parameter can 

713 never be returned. It is required that $low < high$. 

714  

715 item {weibull} -- Specify two parameters, alpha and beta. 

716 It is required that the alpha parameter is not zero. 

717  

718 The random number generator seeds may be specified as an array of integers. Only the first 

719 two values are used. If none or a single value is provided, the necessary remaining value(s) 

720 are generated based on the current time, using the algorithm 

721 begin{verbatim} 

722 seedBase = 1e7*MJD 

723 seed[1] = (Int)seedBase; 

724 # and if seed[0] is also not supplied 

725 seed[0] = (Int)((1e7*(seedBase - seed[1]))) 

726 end{verbatim} 

727  

728 where MJD is the Modidfied Julian Day. 

729  

730 end{itemize} 

731 """ 

732 return self._swigobj.addnoise(type, pars, region, zero, seeds) 

733 

734 def convolve(self, outfile='', kernel=[ ], scale=float(-1.0), region={ }, mask='', overwrite=False, stretch=False): 

735 """This function performs Fourier-based convolution of an image by the specified 

736 kernel. The input image must have real-valued pixels. 

737  

738 If outfile is specified, a persistent image is written to the specified disk 

739 file. If outfile is left set to the empty string, the on-the-fly image analysis 

740 tool generated by this function is associated with a temporary image. This 

741 temporary image may be stored in memory or on disk, depending on its size. 

742 When the user destroys the generated image analysis tool with the close() or 

743 done() method, the temporary image is deleted. 

744  

745 The kernel is provided as a multi-dimensional array or as the filename of a 

746 persistent image. The provided kernel can have fewer dimensions than the image 

747 being convolved. In this case, it will be padded with degenerate axes. An 

748 exception will be thrown if the kernel has more dimensions than the image. No 

749 additional scaling of the kernel is provided. 

750  

751 The scaling of the output image is determined by the value of the scale 

752 parameter. If this is left unset, then the kernel is normalized to unit sum. 

753 If scale is not left unset, then the convolution kernel will be scaled 

754 (multiplied) by this value. 

755  

756 Masked pixels will be assigned the value 0.0 before convolution. 

757  

758 The output mask is the logical AND of the input image's default pixel mask (if 

759 any) and the OTF mask. Any other pixel masks associated with the input image 

760 will not be copied. The maskhandler method should be used if there is a need to 

761 copy other masks too. 

762  

763 See also the other convolution methods convolve2d(), sepconvolve(), and 

764 hanning() for more specialized convolution algorithms. 

765 """ 

766 return _wrap_image(swig_object=self._swigobj.convolve(outfile, kernel, scale, region, mask, overwrite, stretch)) 

767 

768 def boundingbox(self, region={ }): 

769 """This function finds the bounding box of a 

770 region of interest when it is applied to a particular image. Both 

771 float and complex valued images are supported. It is 

772 returned in a record which has fields {cf 'blc', 'trc', 'inc', 

773 'bbShape', 'regionShape', 'imageShape', 'blcf'} and {cf 'trcf'} 

774 containing the bottom-left corner, the top-right corner (in absolute 

775 image pixel coordinates), the increment (stride) of the region, the 

776 shape of the boundingbox, the shape of the region, the shape of the 

777 image, the blc in formatted absolute world coordinates and the trc in 

778 formatted absolute world coordinates, respectively. 

779  

780 Note that the shape of the bounding box will be different from the shape 

781 of the region if a non-unit stride (increment) is involved (see the example 

782 below). 

783  

784 Note that the integer size of the elements in blc, trc, inc, regionShape, 

785 bbShape, and imageShape are 32 bits, even on a 64 bit machine. This means that, 

786 on 64 bit machines, you may have to convert them to 64 bit ints using eg 

787 numpy.int64, before being able to use them as direct input to other 

788 methods such as ia.getchunk(). 

789 """ 

790 return self._swigobj.boundingbox(region) 

791 

792 def boxcar(self, outfile='', region={ }, mask=[ ], axis=int(-1), width=int(2), drop=True, dmethod='copy', overwrite=False, stretch=False): 

793 """This application performs boxcar convolution of one axis of an image 

794 defined by 

795  

796 z[i] = (y[i] + y[i+i] + ... + y[i+w-1])/w 

797  

798 where z[i] is the value at pixel i in the box car smoothed image, y[k] 

799 is the pixel value of the input image at pixel k, and w is a postivie integer 

800 representing the width of the boxcar in pixels. Both float and complex 

801 valued images are supported. The length of the axis along which the 

802 convolution is to occur must be at least w pixels in the selected region, 

803 unless decimation using the mean function is chosen in which case the axis 

804 length must be at least 2*w (see below). Masked pixel values are set to 

805 zero prior to convolution. All nondefault pixel masks are ignored during 

806 the calculation. The convolution is done in the image domain (i.e., not 

807 with an FFT). 

808  

809 If drop=False (no decimation), the length of the output axis will be equal 

810 to the length of the input axis - w + 1. The pixel mask, ORed with the OTF mask 

811 if specified, is copied from the selected region of the input image to the 

812 output image. Thus for example, if the selected region in the input image has 

813 six planes along the convolution axis, if the specified boxcar width is 2, 

814 and if the pixel values, which are all unmasked, on a slice along this axis 

815 are [1, 2, 5, 10, 17, 26], then the corresponding output slice will be of 

816 length five and the output pixel values will be [1.5, 3.5, 7.5, 13.5, 21.5]. 

817  

818 If drop=True and dmethod="copy", the output image is the image calculated 

819 if drop=True, except that only every wth plane is kept. Both the pixel and mask 

820 values of these planes are copied directly to the output image, without further 

821 processing. Thus for example, if the selected region in the input image has six 

822 planes along the convolution axis, the boxcar width is chosen to be 2, and if 

823 the pixel values, which are all unmasked, on a slice along this axis are [1, 2, 

824 5, 10, 17, 26], the corresponding output pixel values will be [1.5, 7.5, 21.5]. 

825  

826 If drop=True and dmethod="mean", first the image described in the drop=False 

827 case is calculated. Then, the ith plane of the output image is calculated by 

828 averaging the i*w to the (i+1)*w-1 planes of this intermediate image. Thus, for 

829 example, if the selected region in the input image has six planes along the 

830 convolution axis, the boxcar width is chosen to be 2, and if the pixel values, 

831 which are all unmasked, on a slice along this axis are [1, 2, 5, 10, 17, 26], 

832 then the corresponding output pixel values will be [2.5, 10.5]. Any pixels at the 

833 end of the plane of the intermediate image that do not fall into a complete bin of 

834 width w are ignored. Masked values are taken into consideration when forming this 

835 average, so if one of the values is masked, it is not used in the average. If at 

836 least one of the valuesin the intermediate image bin is not masked, the 

837 corresponding output pixel will not be masked. 

838  

839 The smoothed image is written to disk with name {stfaf outfile}, if specified. 

840 If not, no image is written but the image is still accessible via the returned 

841 image analysis tool (see below). 

842  

843 This method always returns an image analysis tool which is attached to the smoothed 

844 image. This tool should always be captured and closed after any desired manipulations 

845 have been done. Closing the tool frees up system resources (eg memory), eg, 

846  

847 begin{verbatim} 

848 smoothedim = ia.boxcar(...) 

849 # do things (or not) with smoothedim 

850 ... 

851 # close the returned tool promptly upon finishing with it. 

852 smoothedim.done() 

853 end{verbatim} 

854  

855 """ 

856 return _wrap_image(swig_object=self._swigobj.boxcar(outfile, region, mask, axis, width, drop, dmethod, overwrite, stretch)) 

857 

858 def brightnessunit(self): 

859 """This function gets the image brightness unit. Both float and complex 

860 valued images are supported. 

861 """ 

862 return self._swigobj.brightnessunit() 

863 

864 def calc(self, pixels, verbose=True): 

865 """This function is used to evaluate a mathematical expression involving 

866 casa images, assigning the result to the current (already existing) 

867 image. Both float and complex valued images are supported, although the 

868 image which results from the calculation must have the same type of pixel 

869 values as the image already attached to the tool. That is, one cannot 

870 create a complex valued image using this method if the associated ia tool 

871 is currently attached to a float valued image. It complements the imagecalc 

872 function which returns a newly constructed on-the-fly image tool. See htmladdnormallink{note 223}{../../notes/223/223.html} 

873 which describes the the syntax and functionality in detail. 

874  

875 If the expression, supplied via the {stfaf pixels} argument, is not a 

876 scalar, the shapes and coordinates of the image and expression must 

877 conform. 

878  

879 If the image (that associated with the tool) has a pixelmask, then only 

880 pixels for which that mask is good will be changed. See the function 

881 maskhandler for managing image pixelmasks. 

882  

883 Note that when multiple image are used in the expression, there is no garauntee about which of 

884 those images will be used to create the header of the output image. Therefore, one may have 

885 to modify the output header as needed if the input headers differ. 

886  

887 See the related functions set and 

888 putregion. 

889 """ 

890 return self._swigobj.calc(pixels, verbose) 

891 

892 def calcmask(self, mask='', name='', asdefault=True): 

893 """This method is used to create a new pixel mask via a boolean LEL expression. 

894  

895 See http://casa.nrao.edu/aips2_docs/notes/223/index.shtml which describes the 

896 the syntax and functionality of LEL in detail. Also in this document is a 

897 description of ways to escape image names that contain certain non-alphanumeric 

898 characters so they are compatible with LEL syntax. 

899  

900 If the expression is not a scalar, the shapes and coordinates of the image and 

901 expression must conform. If the expression is a scalar then the entire pixel 

902 mask will be set to that value. 

903  

904 By specifying the name parameter to be an empty string, the method automatically 

905 determines the name of the output mask. Otherwise, the output mask is named the 

906 value specified by the name parameter. If a mask by that name already exists, 

907 it is overwritten. Use method ia.summary() to view existing mask names. 

908  

909 The asdefault parameter specifies if the new mask should be set as the default 

910 pixel mask of the image. This value is set to True by default. 

911 """ 

912 return self._swigobj.calcmask(mask, name, asdefault) 

913 

914 def close(self): 

915 """This function closes the imagetool. This means that it detaches the 

916 tool from its imagefile (flushing all the changes first). The 

917 imagetool is ``null'' after this change (it is not destroyed) and 

918 calling any toolfunction other than open 

919 will result in an error. 

920 """ 

921 return self._swigobj.close() 

922 

923 def continuumsub(self, outline='', outcont='continuumsub.im', region={ }, channels=[ int(-1) ], pol='', fitorder=int(0), overwrite=False): 

924 """This function packages the relevant image tool functionality for simple 

925 specification and application of image plane continuum subtraction. All 

926 that is required of the input image is that it have a non-degenerate 

927 spectral axis. 

928  

929 The user specifies region, the region of the input image over which 

930 continuum subtraction is desired (otherwise the whole image will be 

931 treated); channels, the subset of channels on the spectral axis to use 

932 in the continuum estimation, specified as a vector; 

933 fitorder, the polynomial order to use in the 

934 estimation. Optionally, output line and continuum images may be written 

935 by specifying outline and outcont, respectively. If outline is not 

936 specified, a virtual image tool is all that is produced. If outcont is 

937 not specified, the output continuum image will be written in 

938 'continuumsub.im'. Note that the pol parameter is no longer supported; one 

939 should use the region parameter if polarization selection is desired, in 

940 conformance with other ia tool methods. 

941 """ 

942 return _wrap_image(swig_object=self._swigobj.continuumsub(outline, outcont, region, channels, pol, fitorder, overwrite)) 

943 

944 def convertflux(self, value=[ ], major=[ ], minor=[ ], type='Gaussian', topeak=True, channel=int(-1), polarization=int(-1)): 

945 """This function interconverts between peak intensity and flux density for a 

946 Gaussian component. The image must hold a restoring beam. 

947 """ 

948 return self._swigobj.convertflux(value, major, minor, type, topeak, channel, polarization) 

949 

950 def convolve2d(self, outfile='', axes=[ int(0),int(1) ], type='gaussian', major='0deg', minor='0deg', pa='0deg', scale=float(-1), region={ }, mask='', overwrite=False, stretch=False, targetres=False, beam={ }): 

951 """This function performs Fourier-based convolution of an imagefile 

952 using the provided 2D kernel. 

953  

954 If {stfaf outfile} is left unset, the image is written to the specified 

955 disk file. If {stfaf outfile} is not given, the newly constructed 

956 on-the-fly Image tool is associated with a temporary image. This 

957 temporary image may be stored in memory or on disk, depending on its size. 

958 When the user destroys the on-the-fly Image tool (with the done function) this 

959 temporary image is deleted. 

960  

961 The user specifies which 2 pixel axes of the image are to be convolved 

962 via the {stfaf axes} argument. The pixels must be square or an error will result. 

963  

964 The user specifies the type of convolution kernel with {stfaf type} (minimum 

965 match is supported); currently only {cf 'gaussian'} is available. 

966  

967 The user specifies the parameters of the convolution kernel via the arguments 

968 {stfaf major}, {stfaf minor}, and {stfaf pa}. These arguments can 

969 be specified in one of three ways: 

970  

971 begin{itemize} 

972  

973 item Quantity - for example {stfaf major=qa.quantity(1, 'arcsec')} 

974 Note that you pixel units can be used, viz. {stfaf major=qa.quantity(1, 'pix')}, 

975 see below. 

976  

977 item String - for example {stfaf minor='1km'} (i.e. one that the 

978 Quanta quantity function accepts). 

979  

980 item Numeric - for example {stfaf major=10}. In this case, the units 

981 of {stfaf major} and {stfaf minor} are assumed to be in pixels. Using 

982 pixel units allows the user to convolve unlike axes (see one of the provided 

983 example for this use case). For the position angle, units of degrees are assumed. 

984  

985 end{itemize} 

986  

987 The interpretation of {stfaf major} and {stfaf minor} depends upon the 

988 kernel type. 

989  

990 begin{itemize} 

991  

992 item Gaussian - {stfaf major} and {stfaf minor} are 

993 the Full Width at Half Maximum (FWHM) of the major and minor 

994 axes of the Gaussian. 

995  

996 end{itemize} 

997  

998 The position angle is measured North through East when a 

999 plane holding a celestial coordinate (the usual astronomical 

1000 convention) is convolved. For other axis/coordinate combinations, 

1001 a positive position angle is measured from +x to +y in the 

1002 absolute pixel coordinate frame (x is the first axis that is 

1003 specified, with argument {stfaf axes}). 

1004  

1005 In the case of a Gaussian, the {stfaf beam} parameter offers an alternate way of 

1006 describing the convolving Gaussian. If used, neither {stfaf major}, {stfaf minor}, 

1007 nor {stfaf pa} can be specified. The {stfaf beam} parameter must have exactly three 

1008 fields: "major", "minor", and "pa" (or "positionangle"). This is, not coincidentally, 

1009 the record format for the output of ia.restoringbeam(). 

1010  

1011 The scaling of the output image is determined by the argument {stfaf scale}. 

1012 If this is left unset then autoscaling will be invoked. 

1013  

1014 If the user is not convolving the sky, then autoscaling means that the convolution 

1015 kernel will be normalized to have unit volume so as to conserve flux. 

1016  

1017 If the user is convolving the sky, then there are two cases 

1018 for which autoscaling is useful: 

1019  

1020 Firstly, if the input image units are Jy/pixel, then the output image 

1021 will have units of Jy/beam and be appropriately scaled. In addition, 

1022 the restoring beam of the output image will be the same as the 

1023 convolution kernel. 

1024  

1025 Secondly,if the input image units are Jy/beam, then the output 

1026 image will also have units of Jy/beam and be appropriately 

1027 scaled. In addition, the restoring beam of the output image 

1028 will be the convolution of the input image restoring beam and the 

1029 convolution kernel. In the case of an image with per-plane beams, for 

1030 each plane, the kernel is convolved with the appropriate beam and the 

1031 result is associated with that plane in the output image. 

1032  

1033 If the user sets a value for {stfaf scale}, then the convolution kernel 

1034 will be scaled by this value. Note that it has peak of unity before the 

1035 application of this scale factor. 

1036  

1037 If the units on the original image include Jy/beam, the units on the 

1038 output image will be rescaled by the ratio of the input and output 

1039 beams as well as rescaling by the area of convolution kernel. 

1040  

1041 If the units on the original image include K, then only the image 

1042 convolution kernel rescaling is done. 

1043  

1044 If targetres=True and type="gaussian" and the input image has a restoring beam, 

1045 this method will interpret the values of major, minor, and pa as the resolution 

1046 of the final image and will calculate the parameters of the Gaussian to use 

1047 in the convolution so that this target resolution is achieved. 

1048  

1049 Masked pixels will be assigned the value 0.0 before convolution. 

1050 The output mask is the intersection (logical AND) of the default input 

1051 pixelmask (if any) and the OTF mask. Any other input pixelmasks 

1052 will not be copied. The function 

1053 maskhandler 

1054 can be used if there is a need to copy other masks too. 

1055  

1056 See also the other convolution functions: 

1057  

1058 convolve, 

1059 hanning, and 

1060 sepconvolve. 

1061 """ 

1062 return _wrap_image(swig_object=self._swigobj.convolve2d(outfile, axes, type, major, minor, pa, scale, region, mask, overwrite, stretch, targetres, beam)) 

1063 

1064 def coordsys(self, axes=[ int(-1) ]): 

1065 """This function returns the Coordinate System of an image in a {stf 

1066 Coordsys} tool. Both float and complex valued images are supported. 

1067  

1068 By default, the Coordinate System describes all of the axes in the 

1069 image. If you desire, you can select a subset of the axes, thus 

1070 reducing the dimensionality of the Coordinate System. This may be 

1071 useful if you are supplying a Coordinate System to the 

1072 functions fromarray or 

1073 fromshape. 

1074 """ 

1075 return _wrap_coordsys(swig_object=self._swigobj.coordsys(axes)) 

1076 

1077 def coordmeasures(self, pixel=[ float(-1) ], dframe='cl', sframe='cl'): 

1078 """You can use this function to get the world coordinates for a specified 

1079 absolute pixel coordinate in the image. You specify a pixel coordinate 

1080 (0-rel) for each axis in the image. 

1081  

1082 If you supply fewer pixel values then there are axes in the image, your 

1083 value will be padded out with the reference pixel for the missing axes. 

1084 Excess values will be ignored. 

1085  

1086 The parameters dframe and sframe allow one to specify to which reference frame 

1087 the direction and spectral measures, respectively, should be converted. These 

1088 values are case-insensitive. "native" means use the native reference frame of 

1089 the coordinate in question. "cl" means use the conversion layer frame if one 

1090 exists (if not, the native frame will be used). 

1091  

1092 The world coordinate is returned as a record of measures. This 

1093 function is just a wrapper for the Coordsys tool toworld function 

1094 (invoked with argument {stfaf format='m'}). Please see its 

1095 documentation for discussion about the formatting and meaning of the 

1096 measures. 

1097  

1098 This Image tool function adds two additional fields to the return record. 

1099  

1100 The {cf mask} field contains the value of the image pixelmask at the 

1101 specified position. It is either T (pixel is good) or F (pixel is masked 

1102 as bad or the specified position was off the image). 

1103  

1104 The {cf intensity} field contains the value of the image (at the 

1105 nearest pixel to that given) and its units. This is actually stored 

1106 as a Quantity. This field does not exist 

1107 if the specified pixel coordinate is off the image. 

1108 """ 

1109 return self._swigobj.coordmeasures(pixel, dframe, sframe) 

1110 

1111 def decompose(self, region={ }, mask='', simple=False, threshold=float(-1), ncontour=int(11), minrange=int(1), naxis=int(2), fit=True, maxrms=float(-1), maxretry=int(-1), maxiter=int(256), convcriteria=float(0.0001), stretch=False): 

1112 """This function is an image decomposition tool that performs several tasks, 

1113 with the end result being that a strongly blended image is separated into 

1114 components - both in the sense that it determines the parameters for each 

1115 component (assuming a Gaussian model) and that it physically assigns each 

1116 pixel in the image to an individual object. The products of these two 

1117 operations are called the component list and the component map, 

1118 respectively. The fitting process (which determines the component list) and 

1119 the pixel-decomposition process (which determines the component map) are 

1120 designed to work cooperatively to increase the efficiency and accuracy of 

1121 both. 

1122  

1123 The algorithm behind the decomposition is based on the function clfind, 

1124 described in Williams et al 1994, which uses a contouring procedure whereby 

1125 a closed contour designates a separate component. The program first 

1126 separates the image into clearly distint 'regions' of blended emission, then 

1127 contours each region to determine the areas constituting each component and 

1128 passes this information on to the fitter, which determines the component 

1129 list. 

1130  

1131 The contour deblending can optionally be replaced with a simpler local maximum 

1132 scan, and the fitting can be replaced with a moment-based estimation method to 

1133 speed up calculations on very large images or if either primary method causes 

1134 trouble, but in general this will impede the accuracy of the fit. 

1135  

1136 The function works with both two and three dimensional images. 

1137  

1138 The return value is a record (or dictionary) that has 3 keys: {tt 'components', 'blc', 'trc'}. 

1139 The {tt 'components'} element is a matrix each row of which contains the gaussian parameters of the component fitted. 

1140 The {tt 'blc'} element is a matrix of the bottom left corners (blc) of the regions found. Each row correspond to a region blc. 

1141 The {tt 'trc'} element is a matrix of the top right corners (trc) of the regions found. Each row correspond to a region trc. 

1142 {bf Please Note} that the returned blc's and trc's are relative to {tt region} defined by the user. A {tt blc } of [0,0] implies the bottom left of the region selected and not the bottom left of the image. Obviously if no region is defined then it is the bottom left of the image. 

1143  

1144 """ 

1145 return self._swigobj.decompose(region, mask, simple, threshold, ncontour, minrange, naxis, fit, maxrms, maxretry, maxiter, convcriteria, stretch) 

1146 

1147 def deconvolvecomponentlist(self, complist, channel=int(-1), polarization=int(-1)): 

1148 """This method deconvolves (a 

1149 record representation of) a Componentlist tool from the restoring 

1150 beam, returning (a record representation of) a new Componentlist tool. 

1151 If there is no restoring beam, a fail is generated. 

1152  

1153 Currently, only deconvolution of Gaussian components is supported. 

1154  

1155 For images with per-plane beam, the user must choose which beam is used for 

1156 the deconvolution by setting channel and/or polarization. Only a single beam 

1157 is used to deconvolve all components. 

1158  

1159 See also functions setrestoringbeam and 

1160 restoringbeam. 

1161 """ 

1162 return self._swigobj.deconvolvecomponentlist(complist, channel, polarization) 

1163 

1164 def deconvolvefrombeam(self, source=[ ], beam=[ ]): 

1165 """This is a helper function. It is to provide a way to deconvolve gaussians from other gaussians if that is what is needed for example removing a beam Gaussian from a Gaussian source. To run this function the tool need not be attached to an image. 

1166  

1167 The return value is a record that contains the fit param and the return value is a boolean which is set to true if fit model is a point source 

1168 """ 

1169 return self._swigobj.deconvolvefrombeam(source, beam) 

1170 

1171 def beamforconvolvedsize(self, source=[ ], convolved=[ ]): 

1172 """Determine the size of the beam necessary to convolve with the given source to reach the 

1173 given convolved (source+beam) size. Because the problem is completely specified by the 

1174 input parameters, no image needs to be attached to the associated tool; eg ia.open() need 

1175 not be called prior to calling this method. 

1176 """ 

1177 return self._swigobj.beamforconvolvedsize(source, convolved) 

1178 

1179 def commonbeam(self): 

1180 """Determine a beam to which all beams in an image can be convolved. 

1181 If the image does not have a beam, an exception will be thrown. 

1182 If the image has a single beam, that beam will be returned. 

1183 If the image has multiple beams, this will be the beam with the largest area in the image 

1184 beam set if all the other beams can be convolved to that beam. If not, this is guaranteed to be the minimum area beam to which 

1185 all beams in the set can be convolved if all but one of the beams in the set can be convolved to the beam in the set with the 

1186 largest area. Otherwise, the returned beam may or may not be the smallest possible beam to which all the beams in the set 

1187 can be convolved. 

1188  

1189 """ 

1190 return self._swigobj.commonbeam() 

1191 

1192 def remove(self, done=False, verbose=True): 

1193 """This function first closes the 

1194 imagetool which detaches it from its underlying imagefile. It then 

1195 deletes that imagefile. If {stfaf done=False}, the imagetool is still 

1196 viable, and can be used with function open 

1197 to open a new imagefile. Otherwise the imagetool is destroyed. If {stfaf verbose=True}, the logger will receive a progress report. 

1198 """ 

1199 return self._swigobj.remove(done, verbose) 

1200 

1201 def removefile(self, file): 

1202 """This function deletes the specified image file. 

1203 """ 

1204 return self._swigobj.removefile(file) 

1205 

1206 def done(self, remove=False, verbose=True): 

1207 """When the user no longer needs to use an imagetool, calling this function 

1208 will free up its resources. That is, it destroys the tool. This means 

1209 that the user can no longer call any functions on the tool after it 

1210 has been {stff done}. 

1211  

1212 If the Image tool is associated with a disk file, then (unlike the 

1213 {stff close} function, the user can also choose to delete that by 

1214 setting {stfaf remove=true}. By default, any associated disk file is 

1215 not deleted. 

1216  

1217 Note that this function is different from the {stff close} function 

1218 because the latter does not destroy the imagetool. For example, the 

1219 user can use the {stff open} function straight after the {stff close} 

1220 function on the same tool. 

1221 """ 

1222 return self._swigobj.done(remove, verbose) 

1223 

1224 def fft(self, real='', imag='', amp='', phase='', axes=[ int(-1) ], region={ }, mask='', stretch=False, complex=''): 

1225 """This method fast Fourier Transforms the supplied image to the Fourier plane. 

1226 If the axes parameter is left unset, then the direction plane of the image (if 

1227 there is one) is transformed. Otherwise, the user can specify which axes are 

1228 to be transformed. Note that if the direction plane is to be transformed, both 

1229 axes associated with it must be specified. 

1230  

1231 The user specifies which form is desired in the result by specifying the 

1232 desired output image file name(s). 

1233  

1234 Before the FFT is performed, any masked pixels are set to values of zero. The 

1235 output mask is the result of ANDing the default input pixel mask (if any) and 

1236 the OTF mask. Any other input pixel masks will not be copied. The method 

1237 maskhandler() can be used if there is a need to copy other masks. 

1238  

1239 The following rules are used to set the brightness units of the output images. 

1240 1. The phase image always has units of radians. 

1241 For the other output images, 

1242 2. if the input image has units of Jy/beam or Jy/pixel 

1243 (ie it is an image-plane image), the output (uv-plane) images will have units 

1244 of Jy. In the case of the input image having a synthesized beam, the beam 

1245 will be copied to the output images (which is important for transforming back). 

1246 3. If the input image has units of Jy (ie is a uv-plane image), the output 

1247 images will have either units of Jy/beam or Jy/pixel, depending on if the 

1248 input image has a beam or not. 

1249  

1250 For some transformations (e.g., UV domain to image domain transforms), it is 

1251 not possible to automatically generate an expected coordinate system for 

1252 the output image(s); only the FFT numerics are performed and the coordinate 

1253 system is generated using generic conventions. 

1254 """ 

1255 return self._swigobj.fft(real, imag, amp, phase, axes, region, mask, stretch, complex) 

1256 

1257 def findsources(self, nmax=int(20), cutoff=float(0.1), region={ }, mask='', point=True, width=int(5), negfind=False): 

1258 """This function finds strong point sources in 

1259 the image. The sources are returned in a record that can be used by a 

1260 Componentlist tool. 

1261  

1262 An efficient method is used to locate sources under the assumption that 

1263 they are point-like and not too close to the noise. Only sources with a 

1264 peak greater than the {stfaf cutoff} fraction of the strongest source 

1265 will be found. Only positive sources will be found, unless the {stfaf 

1266 negfind=T} whereupon positive and negative sources will be found. 

1267  

1268 After the list of point sources has been made, you may choose to make a 

1269 Gaussian fit for each one ({stfaf point=F}) so that shape information 

1270 can be recovered as well. You can specify the half-width of the 

1271 fitting grid with argument {stfaf width} which defaults to 5 (fitting 

1272 grid would then be [11,11] pixels). If you set {stfaf width=0}, this is 

1273 a signal that you would still like Gaussian components returned, but a 

1274 default width should be used for the Gaussian shapes. The default is 

1275 such that the component is circular with a FWHM of {stfaf width} 

1276 pixels. 

1277  

1278 Thus, if {stfaf point=T}, the components in the returned Componentlist 

1279 are Point components. If {stfaf point=F} then Gaussian components are 

1280 returned. 

1281  

1282 The region must be 2-dimensional and it must hold a region of the sky. 

1283 Any degenerate trailing dimensions in the region are discarded. 

1284  

1285 See also the function fitcomponents (for which {stff 

1286 findsources} can provide an initial estimate). 

1287 """ 

1288 return self._swigobj.findsources(nmax, cutoff, region, mask, point, width, negfind) 

1289 

1290 def fitprofile(self, box='', region='', chans='', stokes='', axis=int(-1), mask='', ngauss=int(1), poly=int(-1), estimates='', minpts=int(1), multifit=False, model='', residual='', amp='', amperr='', center='', centererr='', fwhm='', fwhmerr='', integral='', integralerr='', stretch=False, logresults=True, pampest=[ ], pcenterest=[ ], pfwhmest=[ ], pfix='', gmncomps=int(0), gmampcon=[ ], gmcentercon=[ ], gmfwhmcon=[ ], gmampest=[ float(0.0) ], gmcenterest=[ float(0.0) ], gmfwhmest=[ float(0.0) ], gmfix='', spxtype='', spxest=[ ], spxfix=[ ], div=[ ], spxsol='', spxerr='', logfile='', append=True, pfunc='', goodamprange=[ float(0.0) ], goodcenterrange=[ float(0.0) ], goodfwhmrange=[ float(0.0) ], sigma='', outsigma='', planes=[ ]): 

1291 """This application simultaneously fits any number of gaussian singlets, any number of lorentzian singlets, and any number of gaussian multiplets, 

1292 and/or a polynomial to one dimensional profiles using the non-linear, least squares Levenberg-Marquardt algorithm. A description of the 

1293 fitting algorithm may be found in AIPS++ Note 224 (http://www.astron.nl/casacore/trunk/casacore/doc/notes/224.html) and in Numerical Recipes 

1294 by W.H. Press et al., Cambridge University Press. A gaussian/lorentzian singlet is a gaussian/lorentzian whose parameters (amplitude, 

1295 center position, and width) are all independent from any other feature that may be simultaneously fit. A gaussian multiplet is a set of two or 

1296 more gaussian lines in which at least one (and possibly two or three) parameter of each line is dependent on the parameter of another, 

1297 single (reference) profile in the multiplet. For example, one can specify a doublet in which the amplitude of the first line is 0.6 times the 

1298 amplitude of the zeroth line and/or the center of the first line is 20 pixels from the center of the zeroth line, and/or the fwhm of the first 

1299 line is identical (in pixels) to that of the zeroth line. There is no limit to the number of components one can specify in a multiplet 

1300 (except of course that the number of parameters to be fit should be significantly less than the number of data points), but there can be only 

1301 a single reference profile in a multiplet to which to tie constraints of parameters of the other profiles in the set. 

1302  

1303 Additionally, a power logarithmic polynomial (plp) or a logarithmic tranformed polynomial (ltp) can be fit. In this case, each of these functions 

1304 cannot be fit simultaneously with any other supported function. These functions are most often used for fitting the spectral index and 

1305 higher order terms of a spectrum. A power logarithmic polynomial has the form 

1306  

1307 y = c0*x/div**(c1 + c2*ln(x/div) + c3*ln(x/div)**2 + ... + cn*ln(x/div)**(n - 1)) 

1308  

1309 and a logarithmic transformed polynomial is simply the result of this equation after taking the natural log of both sides so that it has the form 

1310  

1311 ln(y) = c0 + c1*ln(x/div) + c2*ln(x/div)**2 + ... + cn*ln(x/div)**n 

1312  

1313 The coefficients of the two forms correspond with each other except that c0 in the second equation is equal to 

1314 ln(c0) of the first. In the case of fitting a spectral index, the spectral index, traditionally represented as alpha, is 

1315 equal to c1. 

1316  

1317 In both cases, div is a numerical value used to scale abscissa values so they are closer to unity when they are sent to the fitter. This generally 

1318 improves the probability that the fit will converge. This parameter may be specified via the div parameter. A value of 0 

1319 (the default) indicates that the application should determine a reasonable value for div, which is determined via 

1320  

1321 div = 10**int(log10(sqrt(min(x)*max(x)))) 

1322  

1323 where min(x) and max(x) are the minimum and maximum abscissa values, respectively. 

1324  

1325 So, for example, if S(nu) is proportional to nu**alpha and you expect alpha to be near -0.8 and the value of S(nu) is 1.5 at 

1326 1e9 Hz and your image(s) have spectral units of Hz, you would specify spxest=[1.5, -0.8] and div=1e9 when fitting a plp function, 

1327 or spxest=[0.405, -0.8] and div=1e9 if fitting an ltp function. 

1328  

1329 More details of fitting all of these functions are described in following sections. 

1330  

1331 A CAUTIONARY NOTE 

1332 Note that the likelihood of getting a reliable solution increases with the number of good data points as well as the goodness 

1333 of the initial estimate. It is possible that the first solution found might not be the best one, and 

1334 so, if a solution is found, it is recommended that the fit be repeated using the solution of the previous fit as the 

1335 initial estimatE for the new fit. This process should be repeated until the solutions from one fit to the next differ only insignificantly. 

1336 The convergent solution is very likely the best solution. 

1337  

1338 AXIS 

1339 The axis parameter indicates on which axis profiles should be fit; a value <0 indicates the spectral axis should be used, or if one does not exist, 

1340 that the zeroth axis should be used. 

1341  

1342 MINIMUM NUMBER OF PIXELS 

1343 The minpts parameter indicates the minimum number of unmasked pixels that must be present in order for a fit 

1344 to be attempted. When multifit=True, positions with too few good points will be masked in any output images. 

1345  

1346 ONE FIT OF REGION AVERAGE OR PIXEL BY PIXEL FIT 

1347 The multifit parameter indicates if profiles should be fit at each pixel in the selected region (true), or if the profiles in that region should be 

1348 averaged and the fit done to that average profile (false). 

1349  

1350 POLYNOMIAL FITTING 

1351 The order of the polynomial to fit is specified only via the poly parameter. If poly<0, no polynomial will be fit. No initial estimates of 

1352 coefficients can be specified; these are determined automatically. 

1353  

1354 GAUSSIAN SINGLET FITTING 

1355 In the absence of an estimates file and no estimates being specified by the p*est parameters, and gmncomps=0 or is empty, the ngauss parameter 

1356 indicates the maximum number of gaussian singlets that should be fit. The initial estimates of the parameters for these gaussians will be attempted 

1357 automatically in this case. If it deems appropriate, the fitter will fit fewer than this number. In the case where an estimates file is supplied, 

1358 ngauss is ignored (see below). ngauss is also ignored if the p*est parameters are specified or if gmncomps is not an empty array or, if an integer, 

1359 is greater than zero. If estimates is not specified or the p*est parameters are not specified and ngauss=0, gmncomps is empty or 0, and poly<0, 

1360 an error will occur as this indicates there is nothing to fit. 

1361  

1362 One can specify initial estimates of gaussian singlet parameters via an estimates file or the pampest, pcenterest, pfwhmest, and optionally, the 

1363 pfix parameters. The latter is the recommended way to specify these estimates as support for estimates files may be deprecated in the future. No matter 

1364 which option is used, an amplitude initial estimate must always be nonzero. A negative fwhm estimate will be silently changed to positve. 

1365  

1366 SPECIFYING INITIAL ESTIMATES FOR GAUSSIAN AND LORENTZIAN SINGLETS (RECOMMENDED METHOD) 

1367 One may specify initial estimates via the pampest, pcenterest, and pfwhmest parameters. In the case of a single gaussian or lorentzian singlet, 

1368 these parameters can be numbers. pampest must be specified in image brightness units, pcenterest must be given in the number of pixels from the 

1369 zeroth pixel, and pfwhmest must be given in pixels. Optionally pfix can be specified and in the case of a single gaussian or lorentzian singlet 

1370 can be a string. In it is coded which parameters should be held constant during the fix. Any combination of "p" (amplitude), "c" (center), or "f" 

1371 (fwhm) is allowed; eg pfix="pc" means fix both the amplitude and center during the fit. In the case of more than one gaussian and/or lorentzian 

1372 singlets, these parameters must be specified as arrays of numbers. The length of the arrays indicates the number of singlets to fit and must be 

1373 the same for all the p*est parameters. 

1374  

1375 If no parameters are to be fixed for any of the singlets, pfix can be set to the empty string. However, if at least one parameter of one singlet 

1376 is to be fixed, pfix must be an array of strings and have a length equal to the p*est arrays. Singlets which are not to have any parameters fixed 

1377 should be represented as an empty string in the pfix array. So, for example, if one desires to fit three singlets and fix the fwhm of the middle 

1378 one, one must specify pfix=["", "f", ""], the empty strings indicating no parameters of the zeroth and second singlet should be held constant. 

1379  

1380 In the case of multifit=True, the initial estimates, whether from the p*est parameters or from a file (see below), will be applied to the location 

1381 of the first fit. This is normally the bottom left corner of the region selected. If masked, not enough good points to perform a fit, or the 

1382 attempted fit fails, the fitting proceeds to the next pixel with the pixel value of the lowest numbered axis changing the fastest. Once a 

1383 successful fit has been performed, subsequent fits will use the results of a fit for a nearest pixel for which a previous fit was successful as the 

1384 initial estimate for the parameters at the current location. The fixed parameter string will be honored for every fit performed when multifit=True. 

1385  

1386 One specifies what type of PCF profile to fit via the pfunc parameter. A PCF function is one that can be parameterized by a peak, center, and FWHM, 

1387 as both gaussian and lorentzian singlets can. If all singlets to be fit are gaussians, one can set pfunc equal to the empty string and all snglets 

1388 will be assumed to be gaussians. If at least one lorentzian is to be fit, pfunc must be specified as a string (in the case of a single singlet) or 

1389 an array of strings (in the case of multiple singlets). The position of each string corresponds to the positions of the initial estimates in the 

1390 p*est and pfix arrays. Minimal match ("g", "G", "l", or "L") is supported. So, if one wanted to simultaneously fit two gaussian and two lorentzian 

1391 singlets, the zeroth and last of which were lorentzians, one would specify pfunc=["L", "G", "G", "L"]. 

1392  

1393 ESTIMATES FILE FOR GAUSSIAN SINGLETS (NONRECOMMENDED METHOD) 

1394 Initial estimates for gaussian singlets can be specified in an estimates file. Estimates files may be deprecated in the future in favor of the 

1395 p*est parameters, so it is recommended users use those parameters instead. If an estimates file is desired to be used, the p*est parameters 

1396 must be 0 or empty and mgncomps must be 0 or empty. Only gaussian singlets can be specified in an estimates file. If one desires to fit one or 

1397 more gaussian multiplets and/or one or more lorentzian singlets simultaneously, the p*est parameters must be used to specify the initial parameters 

1398 of all gaussian singlets to fit; one cannot use an estimates file in this case. If an estimates file is specified, a polynomial 

1399 can be fit simultaneously by specifying the poly parameter. The estimates file must contain initial estimates of parameters 

1400 for all gaussian singlets to be fit. The number of gaussian singlets to fit is gotten from the number of estimates in the file. The file can contain 

1401 comments which are indicated by a "#" at the beginning of a line. All non-comment lines will be interpreted as initial estimates. The 

1402 format of such a line is 

1403  

1404 [peak intensity], [center], [fwhm], [optional fixed parameter string] 

1405  

1406 The first three values are required and must be numerical values. The peak intensity must be expressed in image brightness units, while the 

1407 center must be specified in pixels offset from the zeroth pixel, and fwhm must be specified in pixels. The fourth value is optional and if present, 

1408 represents the parameter(s) that should be held constant during the fit. Any combination of the characters 'p' (peak), 'c' (center), and 'f' (fwhm) are 

1409 permitted, eg "fc" means hold the fwhm and the center constant during the fit. Fixed parameters will have no error associated with them. Here is an 

1410 example file: 

1411  

1412 begin{verbatim} 

1413 # estimates file indicating that two gaussians should be fit 

1414 # first guassian estimate, peak=40, center at pixel number 10.5, fwhm = 5.8 pixels, all parameters allowed to vary during 

1415 # fit 

1416 40, 10.5, 5.8 

1417 # second gaussian, peak = 4, center at pixel number 90.2, fwhm = 7.2 pixels, hold fwhm constant 

1418 4, 90.2, 7.2, f 

1419 # end file 

1420 end{verbatim} 

1421  

1422 GAUSSIAN MULTIPLET FITTING 

1423 Any number of gaussian multiplets, each containing any number of two or more components, can be simultaneously fit, optionally with a 

1424 polynomial and/or any number of gaussian and/or lorentzian singlets, the only caveat being that the number of parameters to be fit should be 

1425 significantly less than the number of data points. The gmncomps parameter indicates the number of multiplets to fit and the number of 

1426 components in each multiplet. In the case of a single multiplet, an integer (>1) can be specified. For example, mgncomps=4 means fit a 

1427 single quadruplet of gaussians. In the case of 2 or more multiplets, and array of integers (all >1) must be specified. For example, 

1428 gmncomps=[2, 4, 3] means 3 seperate multiples are to be fit, the zeroth being a doublet, the first being a quadruplet, and the second 

1429 being a triplet. 

1430  

1431 Initial estimates of all gaussians in all multiplets are specified via the gm*est parameters which must be arrays of numbers. The order 

1432 starts with the zeroth component of the zeroth multiplet to the last component of the zeroth multiplet, then the zeroth component of 

1433 the first multiplet to the last compoenent of the first multiplet, etc to the zeroth component of the last multiplet to the last 

1434 element of the last multiplet. The zeroth element of a multiplet is defined as the reference component of that multiplet and has the special 

1435 significance that it is the profile to which all constraints of all other profiles in that multiplet are referenced (see below). So, 

1436 in our example of gmncomps=[2, 4, 3], gmampest, gmcenterest, and gmfwhmest must each be nine (the total number of individual gaussian 

1437 profiles summed over all multiplets) element arrays. The zeroth, second, and sixth elements represent parameters of the reference profiles 

1438 in the zeroth, first, and second multiplet, respectively. 

1439  

1440 The fixed relationships between the non-reference profile(s) and the reference profile of a multiplet are specified via the gmampcon, 

1441 gmcentercon, and gmfwhmcon parameters. At least one, and any combination, of constraints can be specified for any non-reference 

1442 component of a multiplet. The amplitude ratio of a non-reference line to that of the reference line is set in gmampcon. The ratio of 

1443 the fwhm of a non-reference line to that of the reference line is set in gmfwhmcon. The offset in pixels of the center position of 

1444 a non-reference line to that of the reference line is set in gmcentercon. In the case where a parameter is not constrained for any 

1445 non-reference line of any multiplet, the value of the associated parameter must be 0. In the case of 

1446 a single doublet, a constraint may be specified as a number or an array of a single number. For example, mgncomps=2 and gmampcon=0.65 

1447 and gmcentercon=[32.4] means there is a single doublet to fit where the amplitude ratio of the first to the zeroth line is constained 

1448 to be 0.65 and the center of the first line is constrained to be offset by 32.4 pixels from the center of the zeroth line. In cases 

1449 of a total of three or more gaussians, the constraints parameters must be specified as arrays with lengths equal to the total number 

1450 of gaussians summed over all multiplets minus the number of reference lines (one per multiplet, or just number of multiplets, since 

1451 reference lines cannot be constrained by themselves). In the cases where an array must be specified but a component in that array 

1452 does not have that constraint, 0 should be specified. Here's an example 

1453  

1454 gmncomps=[2, 4, 3] 

1455 gmampcon= [ 0 , 0.2, 0 , 0.1, 4.5, 0 ] 

1456 gcentercon=[24.2, 45.6, 92.7, 0 , -22.8, -33.5] 

1457 gfwhmcon="" 

1458  

1459 In this case we have our previous example of one doublet, one quadruplet, and one triplet. The first component of the doublet has the constraint 

1460 that its center is offset by 24.2 pixels from the zeroth (reference) component. The first component of the quadruplet is constrained to have 

1461 an amplitude of 0.2 times that of the quadruplet's zeroth component and its center is constrained to be offset by 45.6 pixels from the 

1462 reference component. The second component of the quadruplet is constained to have its center offset by 92.7 pixels from the associated 

1463 reference component and the third component is constrained to have an amplitude of 0.1 times that of the associated reference component. 

1464 The first component of the triplet is constrained to have an amplitude of 4.5 times that of its associated reference component and its center 

1465 is constrained to be offset by -22.8 pixels from the reference component's center. The second component of the triplet is constrained to have 

1466 its center offset by -33.5 pixels from the center of the reference component. No lines have FWHM constraints, so the empty string can be given 

1467 for that parameter. Note that using 0 to indicate no constraint for line center means that one cannot specify a line centered at the same 

1468 position as the reference component but having a different FWHM from the reference component. If you must specify this very unusual case, 

1469 try using a very small positive (or even negative) value for the center constraint. 

1470  

1471 Note that when a parameter for a line is constrained, the corresponding value for that component in the corresponding gm*est array is 

1472 ignored and the value of the constrained parameter is automatically used instead. So let's say, for our example above, we had specified 

1473 the following estimates: 

1474  

1475 gmampest = [ 1, .2, 2, .1, .1, .5, 3, 2, 5] 

1476 gmcenterest = [20, 10 , 30, 45.2, 609 , -233, 30, -859, 1] 

1477  

1478 Before any fitting is done, the constraints would be taken into account and these arrays would be implicitly rewritten as: 

1479  

1480 gmampest = [ 1, .2, 2, .4, .1, .2, 3, 13.5, 5 ] 

1481 gmcenterest = [20, 44.2, 30, 75.6, 127.7, -233, 30, 7.2, -3.5] 

1482  

1483 The value of gmfwhmest would be unchanged since there are no FWHM constraints in this example. 

1484  

1485 In addition to be constrained by values of the reference component, parameters of individual components can be fixed. Fixed parameters 

1486 are specified via the gmfix parameter. If no parameters are to be fixed, gmfix can be specified as the empty string or a zero element 

1487 array. In the case where any parameter is to be fixed, gmfix must be specified as an array of strings with length equal to the total number of 

1488 components summed over all multiplets. These strings encode which parameters to be fixed for the corresponding components. If 

1489 a component is to have no parameters fixed, an empty string is used. In other cases one or more of any combination of parameters can 

1490 be fixed using "p", "c", and/or "f" described above for fixing singlet parameters. There are a couople of special cases 

1491 to be aware of. In the case where a non-reference component parameter is constrained and the corresponding reference component parameter is 

1492 set as fixed, that parameter in the non-reference parameter will automatically be fixed even if it was specified not to be fixed in 

1493 the gmfix array. This is the only way the constraint can be honored afterall. In the converse case of when a constrained parameter of a 

1494 non-reference component is specified as fixed, but the corresponding parameter in the reference component is not specified to be fixed, 

1495 an error will occur. Fixing an unconstrained parameter in a non-reference component is always legal as is fixing any combination of 

1496 parameters in a reference component (with the above caveat that corresponding constrained parameters in non-reference components will 

1497 be silently held fixed as well). 

1498  

1499 The same rules that apply to singlets when multifit=True apply to multiplets. 

1500  

1501 LIMITING RANGES FOR SOLUTION PARAMETERS 

1502 In cases of low (or no) signal to noise spectra, it is still possible for the fit to converge, but often to a 

1503 nonsensical solution. The astronomer can use her knowledge of the source to filter out obviously bogus solutions. 

1504 Any solution which contains a NaN value as a value or error in any one of its parameters is automatically marked as 

1505 invalid. 

1506  

1507 One can also limit the ranges of solution parameters to known "good" values via the goodamprange, goodcenterrange, and goodfwhmrange 

1508 parameters. Any combination can be specified and the limit constraints will be ANDed together. The ranges apply to all PCF components 

1509 that might be fit; choosing ranges on a component by component basis is not supported. If specified, 

1510 an array of exactly two numerical values must be given to indicate the range of acceptable solution values for 

1511 that parameter. goodamprange is expressed in terms of image brightness units. goodcenterrange is expressed in terms of pixels 

1512 from the zeroth pixel in the specified region. goodfwhmrange is expressed in terms of pixels (only non-negative values should be 

1513 given for FWHM range endpoints). In the case of a multiple-PCF fit, if any of the corresponding solutions are outside the specified 

1514 ranges, the entire solution is considered to be invalid. 

1515  

1516 In addition, solutions for which the absolute value of the ratio of the amplitude error to the amplitude exceeds 100 or the 

1517 ratio of the FWHM error to the FWHM exceeds 100 are automatically marked as invalid. 

1518  

1519 POWER LOGARITHMIC POLYNOMIAL AND LOGARITHMIC TRANSFORMED POLYNOMIAL FITTING 

1520 Fitting of a sngle power logarithmic polynomial or a single logarithmic transformed polynomial function is supported. 

1521 No other functions may be fit simultaneously with either of these; if parameters relating to other functions are supplied 

1522 simultaneously with parameters relating 

1523 to these functions, an exception will occur. For details of the functional forms, see the introduction of this 

1524 document. 

1525  

1526 The set of c0 ... cn coefficients (as defined previously) can 

1527 be solved for. Initial estimates for the c values should be supplied via the plpest or ltpest parameters, depending on which 

1528 form is being fit. The number of values given 

1529 in this array will be the number of coeffecients that are solved for. One may specify which coefficients should be held 

1530 fixed during the fit in the plpfix or ltpfix array. If supplied, this array should have the same number of elements as its respective 

1531 initial estimates array. A value 

1532 of True means the corresponding coefficient will be held fixed during the fit. An empty array indicates that no 

1533 parameters will be held fixed. This is the default. 

1534  

1535 Because the logarithm of the ordinate values must be taken before fitting a logarithmic transformed polynomial, 

1536 all non-positive pixel values are effectively masked for the purposes of fitting. 

1537  

1538 INCLUDING STANDARD DEVIATIONS OF PIXEL VALUES 

1539 If the standard deviations of the pixel values in the input image are known and they vary in the image (eg they are higher for pixels 

1540 near the edge of the band), they can be included in the sigma parameter. This parameter takes either an array or an image name. The 

1541 array or image must have one of three shapes: 1. the shape of the input image, 2. the same dimensions as the input image with the lengths 

1542 of all axes being one except for the fit axis which must have length corresponding to its length in the input image, or 3. be one 

1543 dimensional with lenght equal the the length of the fit axis in the input image. In cases 2 and 3, the array or pixels in sigma will 

1544 be replicated such that the image that is ultimately used is the same shape as the input image. The values of sigma must be non-negative. 

1545 It is only the relative values that are important. A value of 0 means that pixel should not be used in the fit. Other than that, if pixel 

1546 A has a higher standard deviation than pixel B, then pixel A is noisier than pixel B and will receive a lower weight when the fit is done. 

1547 The weight of a pixel is the usual 

1548  

1549 weight = 1/(sigma*sigma) 

1550  

1551 In the case of multifit=False, the sigma values at each pixel along the fit axis in the hyperplane perpendicular to the fit axis which includes 

1552 that pixel are averaged and the resultant averaged standard deviation spectrum is the one used in the fit. Internally, sigma values are normalized 

1553 such that the maximum value is 1. This mitigates a known overflow issue. 

1554  

1555 One can write the normalized standard deviation image used in the fit but specifying its name in outsigma. This image can then be 

1556 used as sigma for subsequent runs. 

1557  

1558  

1559 RETURNED DICTIONARY STRUCTURE 

1560 The returned dictionary has a (necessarily) complex structure. First, there are keys "xUnit" and "yUnit" whose values are 

1561 the abscissa unit and the ordinate unit described by simple strings. Next there are arrays giving a broad overview of the 

1562 fit quality. These arrays have the shape of the specified region collapsed along the fit axis with the axis corresponding to the fit 

1563 axis having length of 1: 

1564  

1565 attempted: a boolean array indicating which fits were attempted (eg if too few unmasked points, a fit will not be attempted). 

1566 converged: a boolean array indicating which fits converged. False if the fit was not attempted. 

1567 valid: a boolean array indicating which solutions fall within the specified valid ranges of parameter space (see 

1568 . section LIMITING RANGES FOR SOLUTION PARAMETERS for details). 

1569 niter: an int array indicating the number of iterations for each profile, <0 if the fit did not converge 

1570 ncomps: the number of components (gaussian singlets + lorentzian singlets + gaussian multiplets + polynomial) fit for the profile, 

1571 . <0 if the fit did not converge 

1572 direction: a string array containing the world direction coordinate for each profile 

1573  

1574 There is a "type" array having number of dimensions equal to the number of dimensions in the above arrays plus one. The shape of 

1575 the first n-1 dimensions is the same as the shape of the above arrays. The length of the last dimension is equal to the number of 

1576 components fit. The values of this array are strings describing the components that were fit at each possition ("POLYNOMIAL", 

1577 "GAUSSIAN" in the case of gaussian singlets, "LORENTZIAN" in the case of lorentzian singlets, and ""GAUSSIAN MULTPLET"). 

1578  

1579 If any gaussian singlets were fit, there will be a subdictionary accessible via the "gs" key which will have subkeys "amp", "ampErr", "center", 

1580 "centerErr", "fwhm", "fwhmErr, "integral", and "integralErr". Each of these arrays will have one more dimension than the overview arrays described 

1581 above. The shape of the first n-1 dimensions will be the same as the shape of the arrays described above, while the final dimension will 

1582 have length equal to the maximum number of gaussian singlets that were fit. Along this axis will be the 

1583 corresponding fit result or associated error (depending on the array's associated key) of the fit for that singlet component number. In cases where 

1584 the fit did not converge, or that particular component was excluded from the fit, a value of NAN will be present. 

1585  

1586 If any lorentzian singlets were fit, their solutions will be accessible via the "ls" key. These arrays follow the same rules 

1587 as the "gs" arrays described above. 

1588  

1589 If any gaussian multiplets were fit, there will be subdictionaries accessible by keys "gm0", "gm1", ..., "gm{n-1}" where n is the number of gaussian 

1590 muliplets that were fit. Each of these dictionaries will have the same arrays described above for gaussian singlets. The last dimension 

1591 will have length equal to the number of components in that particular multiplet. Each pixel along the last axis will be the parameter solution 

1592 value or error for that component number in the multiplet, eg the zeroth pixel along that axis contains 

1593 the parameter solution or error for the reference component of the multiplet. 

1594  

1595 The polynomial coefficient solutions and errors are not returned, although they are logged. 

1596  

1597 If a power logarithmic polynomial was fit, there will be a subdictionary accessible via the "plp" key which will have 

1598 subkeys "soltuion" and "error" which will each have an array value. Each of these arrays will have one more dimension than the overview arrays 

1599 described above. The shape of the first n-1 dimensions will be the same as the shape of the overview arrays described above, while the 

1600 final dimension will have length equal to the number of parameters that were fit. Along this axis will be the 

1601 corresponding fit result or associated error (depending on the array's associated key) of the fit. In cases where 

1602 the fit was not attempted or did not converge, a value of NAN will be present. 

1603  

1604 OUTPUT IMAGES 

1605 In addition to the returned dictionary, optionally one or more of any combination of output images can be written. 

1606 The model and residual parameters indicate the names of the model and residual images to be written; blank values inidcate that these images 

1607 should not be written. 

1608  

1609 One can also write none, any or all of the solution and error images for gaussian singlet, lorentzian singlet, and gaussian multiplet fits 

1610 via the parameters amp, amperr, center, centererr, fwhm, fwhmerr, integral, integralerr when doing multi-pixel fits. For a power logarithmic 

1611 polynomial or a logarithmic transformed polynomial fit, plpsol or ltpsol and plperr or ltpsol are the names of the solution and error 

1612 images to write, respectively. 

1613  

1614 These images contain the arrays described for the associated parameter solutions or errors described in previous sections. Each 

1615 component is written to a different image, and each image is distiguished by the component it represents by its name ending 

1616 in an uderscore and the relevant component number ("_0", "_1", etc). In the case of Gaussian multiplets, the image name ends 

1617 with the number of the mulitplet group followed by the number of the component in that group (eg "_3_4" represents component 

1618 4 in multiplet group 3). In the case of lorentzian singlets, "_ls" is appended to the image names (but before the 

1619 identifying component number), in the case of gaussian multiplets. Similarly "_gm" is included in the name of Gaussian multiplet 

1620 images. Pixels for which fits were not attempted, did not converge, or converged but have values of NaN (not a number) or 

1621 INF (infinity) will be masked as bad. 

1622  

1623 Writing analogous images for polynomial coefficients is not supported. 

1624  

1625  

1626 """ 

1627 return self._swigobj.fitprofile(box, region, chans, stokes, axis, mask, ngauss, poly, estimates, minpts, multifit, model, residual, amp, amperr, center, centererr, fwhm, fwhmerr, integral, integralerr, stretch, logresults, pampest, pcenterest, pfwhmest, pfix, gmncomps, gmampcon, gmcentercon, gmfwhmcon, gmampest, gmcenterest, gmfwhmest, gmfix, spxtype, spxest, spxfix, div, spxsol, spxerr, logfile, append, pfunc, goodamprange, goodcenterrange, goodfwhmrange, sigma, outsigma, planes) 

1628 

1629 def fitcomponents(self, box='', region=[ ], chans=[ ], stokes='', mask='', includepix=[ float(-1) ], excludepix=[ float(-1) ], residual='', model='', estimates='', logfile='', append=True, newestimates='', complist='', overwrite=False, dooff=False, offset=float(0.0), fixoffset=False, stretch=False, rms='', noisefwhm='', summary=''): 

1630 """OVERVIEW 

1631  

1632 This application is used to fit one or more two dimensional gaussians to sources in an image as 

1633 well as an optional zero-level offset. Fitting is limited to a single polarization 

1634 but can be performed over several contiguous spectral channels. 

1635 If the image has a clean beam, the report and returned dictionary will contain both the convolved 

1636 and the deconvolved fit results. 

1637  

1638 When dooff is False, the method returns a dictionary with keys named 'converged', 'pixelsperarcsec', 

1639 'results', and 'deconvolved'. The value of 'converged' is a boolean array which indicates if the 

1640 fit converged on a channel by channel basis. The value of 'pixelsperarcsec' is a two element double 

1641 array with the absolute values of the direction coordinate pixel increments (longitude-like and 

1642 latitude-like coordinate, respectively) in arcsec. The value of 'results' is a dictionary 

1643 representing a component list reflecting the fit results. In the case of an image containing beam 

1644 information, the sizes and position angles in the 'results' dictionary are those of the source(s) 

1645 convolved with the restoring beam, while the same parameters in the 'deconvolved' dictionary 

1646 represent the source sizes deconvolved from the beam. In the case where the image does not 

1647 contain a beam, 'deconvolved' will be absent. Both the 'results' and 'deconvolved' dictionaries can 

1648 be read into a component list tool (default tool is named cl) using the fromrecord() method for 

1649 easier inspection using tool methods, eg 

1650  

1651 cl.fromrecord(res['results']) 

1652  

1653 although this only works if the flux density units are conformant with Jy. 

1654  

1655 There are also values in each component subdictionary not used by cl.fromrecord() but meant to 

1656 supply additional information. There is a 'peak' subdictionary for each component that provides the 

1657 peak intensity of the component. It is present for both 'results' and 'deconvolved' components. 

1658 There is also a 'sum' subdictionary for each component indicated the simple sum of pixel values in 

1659 the the original image enclosed by the fitted ellipse. There is a 'channel' entry in the 'spectrum' 

1660 subdictionary which provides the zero-based channel number in the input image for which the solution 

1661 applies. In addtion, if the image has a beam(s), then there will be a 'beam' subdictionary associated 

1662 with each component in both the 'results' and 'deconvolved' dictionaries. This subdictionary will 

1663 have three keys: 'beamarcsec' will be a subdictionary giving the beam dimensions in arcsec, 

1664 'beampixels' will have the value of the beam area expressed in pixels, and 'beamster' will have the 

1665 value of the beam area epressed in steradians. Also, if the image has a beam(s), in the component level 

1666 dictionaries will be an 'ispoint' entry with an associated boolean value describing if the component 

1667 is consistent with a point source. Each component level dictionary will have a 'pixelcoords' entry 

1668 which has the value of a two element numeric array which provides the direction pixel coordinates 

1669 of the fitted position. 

1670  

1671 If dooff is True, in addtion to the specified number of 

1672 gaussians, a zero-level offset will also be fit. The initial estimate for this 

1673 offset is specified using the offset parameter. Units are assumed to be the 

1674 same as the image brightness units. The zero level offset can be held constant during 

1675 the fit by specifying fixoffset=True. In the case of dooff=True, the returned 

1676 dictionary contains two additional keys, 'zerooff' and 'zeroofferr', which are both 

1677 dictionaries containing 'unit' and 'value' keys. The values associated with the 'value' 

1678 keys are arrays containing the the fitted zero level offset value and its error, respectively, 

1679 for each channel. In cases where the fit did not converge, these values are set to NaN. 

1680 The value associated with 'unit' is just the image brightness unit. 

1681  

1682 The region can either be specified by a box(es) or a region. 

1683 Ranges of pixel values can be included or excluded from the fit. If specified using 

1684 the box parameter, multiple boxes can be given using the format 

1685 box="blcx1, blcy1, trcx1, trcy1, blcx2, blcy2, trcx2, trcy2, ... , blcxN, blcyN, trcxN, trcyN" 

1686 where N is the number of boxes. In this case, the union of the specified boxes will be used. 

1687  

1688 If specified, the residual and/or model images for successful fits will be written. 

1689  

1690 If an estimates file is not specified, an attempt is made to estimate 

1691 initial parameters and fit a single Gaussian. If a multiple Gaussian fit 

1692 is desired, the user must specify initial estimates via a text file 

1693 (see below for details). 

1694  

1695 The user has the option of writing the result of the fit to a log file, 

1696 and has the option of either appending to or overwriting an existing file. 

1697  

1698 The user has the option of writing the (convolved) parameters of a successful 

1699 fit to a file which can be fed back to fitcomponents() as the estimates file for a 

1700 subsequent run. 

1701  

1702 The user has the option of writing the fit results in tabular format to a file whose 

1703 name is specified using the summary parameter. 

1704  

1705 If specified and positive, the value of rms is used to calculate the parameter uncertainties, 

1706 otherwise, the rms in the selected region in the relevant channel is used for these calculations. 

1707  

1708 The noisefwhm parameter represents the noise-correlation beam FWHM. If specified as a quantity, 

1709 it should have angular units. If specified as a numerical value, it is set equal to that number 

1710 of pixels. If specified and greater than or equal to the pixel size, it is used to calculate 

1711 parameter uncertainties using the correlated noise equations (see below). If it is specified but 

1712 less than a pixel width, the the uncorrelated noise equations (see below) are used to 

1713 compute the parameter uncertainties. If it is not specified and the image has a restoring beam(s), 

1714 the the correlated noise equations are used to compute parameter uncertainties using the 

1715 geometric mean of the relevant beam major and minor axes as the noise-correlation beam FWHM. If 

1716 noisefwhm is not specified and the image does not have a restoring beam, then the uncorrelated 

1717 noise equations are used to compute the parameter uncertainties. 

1718  

1719 SUPPORTED UNITS 

1720  

1721 Currently only images with brightness units conformant with Jy/beam, Jy.km/s/beam, and K are fully 

1722 supported for fitting. If your image has some other base brightness unit, that unit will be assumed 

1723 to be equivalent to Jy/pixel and results will be calculated accordingly. In particular, 

1724 the flux density (reported as Integrated Flux in the logger and associated with the "flux" key 

1725 in the returned component subdictionary(ies)) for such a case represents the sum of pixel values. 

1726  

1727 Note also that converting the returned results subdictionary to a component list via cl.fromrecord() currently 

1728 only works properly if the flux density units in the results dictionary are conformant with Jy. 

1729 If you need to be able to run cl.fromrecord() on the resulting dictionary you can first modify the 

1730 flux density units by hand to be (some prefix)Jy and then run cl.fromrecord() on that dictionary, 

1731 bearing in mind your unit conversion. 

1732  

1733 If the input image has units of K, the flux density of components will be reported in units 

1734 of [prefix]K*rad*rad, where prefix is an SI prefix used so that the numerical value is between 

1735 1 and 1000. To convert to units of K*beam, determine the area of the appropriate beam, 

1736 which is given by pi/(4*ln(2))*bmaj*bmin, where bmaj and bmin are the major and minor axes 

1737 of the beam, and convert to steradians (=rad*rad). This value is included in the beam portion 

1738 of the component subdictionary (key 'beamster'). Then divide the numerical value of the 

1739 logged flux density by the beam area in steradians. So, for example 

1740  

1741 begin{verbatim} 

1742 # run on an image with K brightness units 

1743 res = imfit(...) 

1744 # get the I flux density in K*beam of component 0 

1745 comp = res['results']['component0'] 

1746 flux_density_kbeam = comp['flux']['value'][0]/comp['beam']['beamster'] 

1747 end{verbatim} 

1748  

1749 FITTING OVER MULTIPLE CHANNELS 

1750  

1751 For fitting over multiple channels, the result of the previous successful fit is used as 

1752 the estimate for the next channel. The number of gaussians fit cannot be varied on a channel 

1753 by channel basis. Thus the variation of source structure should be reasonably smooth in 

1754 frequency to produce reliable fit results. 

1755  

1756 MASK SPECIFICATION 

1757  

1758 Mask specification can be done using an LEL expression. For example 

1759  

1760 mask = '"myimage">5' will use only pixels with values greater than 5. 

1761  

1762 INCLUDING AND EXCLUDING PIXELS 

1763  

1764 Pixels can be included or excluded from the fit based on their values 

1765 using these parameters. Note that specifying both is not permitted and 

1766 will cause an error. If specified, both take an array of two numeric 

1767 values. 

1768  

1769 ESTIMATES 

1770  

1771 Initial estimates of fit parameters may be specified via an estimates 

1772 text file. Each line of this file should contain a set of parameters for 

1773 a single gaussian. Optionally, some of these parameters can be fixed during 

1774 the fit. The format of each line is 

1775  

1776 peak intensity, peak x-pixel value, peak y-pixel value, major axis, minor axis, position angle, fixed 

1777  

1778 The fixed parameter is optional. The peak intensity is assumed to be in the 

1779 same units as the image pixel values (eg Jy/beam). The peak coordinates are specified 

1780 in pixel coordinates. The major and minor axes and the position angle are the convolved 

1781 parameters if the image has been convolved with a clean beam and are specified as quantities. 

1782 The fixed parameter is optional and is a string. It may contain any combination of the 

1783 following characters 'f' (peak intensity), 'x' (peak x position), 'y' (peak y position), 

1784 'a' (major axis), 'b' (axial ratio, R = (major axis FWHM)/(minor axis FWHM)), 

1785 'p' (position angle). NOTE: One cannot hold the minor axis fixed without holding the major 

1786 axis fixed. If the major axis is not fixed, specifying "b" in the fixed string will hold 

1787 the axial ratio fixed during the fit. 

1788  

1789 In addition, lines in the file starting with a # are considered comments. 

1790  

1791 An example of such a file is: 

1792  

1793 begin{verbatim} 

1794 # peak intensity must be in map units 

1795 120, 150, 110, 23.5arcsec, 18.9arcsec, 120deg 

1796 90, 60, 200, 46arcsec, 23arcsec, 140deg, fxp 

1797 end{verbatim} 

1798  

1799 This is a file which specifies that two gaussians are to be simultaneously fit, 

1800 and for the second gaussian the specified peak intensity, x position, and position angle 

1801 are to be held fixed during the fit. 

1802  

1803 ERROR ESTIMATES 

1804  

1805 Error estimates are based on the work of Condon 1997, PASP, 109, 166. Key assumptions made are: 

1806  

1807 - The given model (elliptical Gaussian, or elliptical Gaussian plus constant offset) is an 

1808 adequate representation of the data 

1809 - An accurate estimate of the pixel noise is provided or can be derived (see above). For the 

1810 case of correlated noise (e.g., a CLEAN map), the fit region should contain many "beams" or 

1811 an independent value of rms should be provided. 

1812 - The signal-to-noise ratio (SNR) or the Gaussian component is large. This is necessary because 

1813 a Taylor series is used to linearize the problem. Condon (1997) states that the fractional 

1814 bias in the fitted amplitude due to this assumption is of order 1/(S*S), where S is the overall 

1815 SNR of the Gaussian with respect to the given data set (defined more precisely below). For a 5 

1816 sigma "detection" of the Gaussian, this is a 4% effect. 

1817 - All (or practically all) of the flux in the component being fit falls within the selected region. 

1818 If a constant offset term is simultaneously fit and not fixed, the region of interest should be 

1819 even larger. The derivations of the expressions summarized in this note assume an effectively 

1820 infinite region. 

1821  

1822 Two sets of equations are used to calculate the parameter uncertainties, based on if 

1823 the noise is correlated or uncorrelated. The rules governing which set of equations are 

1824 used have been described above in the description of the noisefwhm parameter. 

1825  

1826 In the case of uncorrelated noise, the equations used are 

1827  

1828 f(A) = f(I) = f(M) = f(m) = k*s(x)/M = k*s(y)/m = (s(p)/sqrt(2))*((M*M - m*m)/(M*m)) 

1829 = sqrt(2)/S 

1830  

1831 where s(z) is the uncertainty associated with parameter z, f(z) = s(z)/abs(z) is the 

1832 fractional uncertainty associated with parameter z, A is the peak intensity, I is the flux 

1833 density, M and m are the FWHM major and minor axes, p is the position angle of the 

1834 component, and k = sqrt(8*ln(2)). s(x) and s(y) are the direction 

1835 uncertainties of the component measured along the major and minor axes; the resulting 

1836 uncertainties measured along the principle axes of the image direction coordinate are 

1837 calculated by propagation of errors using the 2D rotation matrix which enacts the rotation through 

1838 the position angle plus 90 degrees. S is the overall signal to noise ratio of the component, 

1839 which, for the uncorrelated noise case is given by 

1840  

1841 S = (A/(k*h*r))*sqrt(pi*M*m) 

1842  

1843 where h is the pixel width of the direction coordinate and r is the rms noise (see the 

1844 discussion above for the rules governing how the value of r is determined). 

1845  

1846 For the correlated noise case, the same equations are used to determine the uncertainties 

1847 as in the uncorrelated noise case, except for the uncertainty in I (see below). However, 

1848 S is given by 

1849  

1850 S = (A/(2*r*N)) * sqrt(M*m) * (1 + ((N*N/(M*M)))**(a/2)) * (1 + ((N*N/(m*m)))**(b/2)) 

1851  

1852 where N is the noise-correlation beam FWHM (see discussion of the noisefwhm parameter for 

1853 rules governing how this value is determined). "**" indicates exponentiation and a and b 

1854 depend on which uncertainty is being calculated. For sigma(A), a = b = 3/2. For M and x, 

1855 a = 5/2 and b = 1/2. For m, y, and p, a = 1/2 and b = 5/2. f(I) is calculated in the 

1856 correlated noise case according to 

1857  

1858 f(I) = sqrt( f(A)*f(A) + (N*N/(M*m))*(f(M*f(M) + f(m)*f(m))) ) 

1859  

1860 Note well the following caveats: 

1861 - Fixing Gaussian component parameters will tend to cause the parameter uncertainties reported for free 

1862 parameters to be overestimated. 

1863 - Fitting a zero level offset that is not fixed will tend to cause the reported parameter 

1864 uncertainties to be slightly underestimated. 

1865 - The parameter uncertainties will be inaccurate at low SNR (a ~10% for SNR = 3). 

1866 - If the fitted region is not considerably larger than the largest component that is fit, 

1867 parameter uncertainties may be mis-estimated. 

1868 - An accurate rms noise measurement, r, for the region in question must be supplied. 

1869 Alternatively, a sufficiently large signal-free region must be present in the selected region 

1870 (at least about 25 noise beams in area) to auto-derive such an estimate. 

1871 - If the image noise is not statistically independent from pixel to pixel, a reasonably accurate noise 

1872 correlation scale, N, must be provided. If the noise correlation function is not approximately Gaussian, 

1873 the correlation length can be estimated using 

1874  

1875 N = sqrt(2*ln(2)/pi)* double-integral(dx dy C(x,y))/sqrt(double-integral(dx dy C(x, y) * C(x,y))) 

1876  

1877 where C(x,y) is the associated noise-smoothing function 

1878 - If fitted model components have significan spatial overlap, the parameter uncertainties are likely to 

1879 be mis-estimated (i.e., correlations between the parameters of separate components are not accounted 

1880 for). 

1881 - If the image being analyzed is an interferometric image with poor uv sampling, the parameter 

1882 uncertainties may be significantly underestimated. 

1883  

1884 The deconvolved size and position angle errors are computed by taking the maximum of the absolute values of the 

1885 differences of the best fit deconvolved value of the given parameter and the deconvolved size of the eight 

1886 possible combinations of (FWHM major axis +/- major axis error), (FWHM minor axis +/- minor axis error), 

1887 and (position andle +/- position angle error). If the source cannot be deconvolved from the beam (if the best 

1888 fit convolved source size cannot be deconvolved from the beam), upper limits on the deconvolved source size 

1889 are sometimes reported. These limits simply come from the maximum major and minor axes of the deconvolved 

1890 gaussians taken from trying all eight of the aforementioned combinations. In the case none of these combinations 

1891 produces a deconvolved size, no upper limit is reported. 

1892  

1893 EXAMPLE: 

1894  

1895 Here is how one might fit two gaussians to multiple channels of a cube using the fit 

1896 from the previous channel as the initial estimate for the next. It also illustrates 

1897 how one can specify a region in the associated continuum image as the region to use 

1898 as the fit for the channel. 

1899  

1900 begin{verbatim} 

1901 imagename = "co_cube.im" 

1902 # specify region using region from continuum 

1903 region = "continuum.im:source.rgn" 

1904 chans = "2~20" 

1905 # only use pixels with positive values in the fit 

1906 excludepix = [-1e10,0] 

1907 # estimates file contains initial parameters for two Gaussians in channel 2 

1908 estimates = "initial_estimates.txt" 

1909 logfile = "co_fit.log" 

1910 # append results to the log file for all the channels 

1911 append = "True" 

1912 ia.open(imagename) 

1913 ia.fitcomponents(region=region, chans=chans, excludepix=excludepix, estimates=estimates, logfile=logfile, append=append) 

1914 end{verbatim} 

1915 """ 

1916 return self._swigobj.fitcomponents(box, region, chans, stokes, mask, includepix, excludepix, residual, model, estimates, logfile, append, newestimates, complist, overwrite, dooff, offset, fixoffset, stretch, rms, noisefwhm, summary) 

1917 

1918 def fromrecord(self, record, outfile=''): 

1919 """You can convert an associated image to a record 

1920 (torecord) or imagepol tool functions will sometimes give you a record. This function 

1921 (fromrecord) allows you to set the contents of an image tool to the content of the record. 

1922 This and torecord are used for deserialization and serialization. 

1923 """ 

1924 return self._swigobj.fromrecord(record, outfile) 

1925 

1926 def getchunk(self, blc=[ int(-1) ], trc=[ int(-1) ], inc=[ int(1) ], axes=[ int(-1) ], list=False, dropdeg=False, getmask=False): 

1927 """This function returns the pixels (or optionally the pixel mask) from the 

1928 attached image between blc and trc, inclusive. Images with float, complex 

1929 float, double, and complex double precision pixel values are supported. 

1930 An increment may be specified with inc. Note that if too many pixel values 

1931 are retrieved, swapping may occur, result in a decrease in performance, 

1932 since the pixel values are stored in memory. 

1933  

1934 Any illegal blc values are set to zero. Any illegal trc values are set to 

1935 the end of the image. If any trc values are less than corresponding blc 

1936 values, all the pixel values for that axis are returned. Any illegal inc 

1937 values are set to unity. 

1938  

1939 The axes parameter can be used to reduce the dimensionality of the output 

1940 array. It specifies which pixel axes of the image over which to average 

1941 the data. For example, consider a 3-D image, with axes=[0,1] and all 

1942 other parameters set to their defaults. The result would be a 1-D vector, 

1943 a profile along the third axis, with the data averaged over the first two 

1944 axes. 

1945  

1946 A related function is getregion(), which retrieves the pixel values or 

1947 pixel mask from a potentially more complex region. Method getchunk() is 

1948 retained because it is faster and therefore preferable for repeated 

1949 operations in loops if the pixel mask is not required and the region is a 

1950 simple box. 

1951  

1952 If getmask=True, the return value is the pixel mask values, rather than 

1953 the pixel values. 

1954 """ 

1955 return self._swigobj.getchunk(blc, trc, inc, axes, list, dropdeg, getmask) 

1956 

1957 def getregion(self, region={ }, axes=[ int(-1) ], mask='', list=False, dropdeg=False, getmask=False, stretch=False): 

1958 """This function recovers the image pixel or pixel mask values in the given region 

1959 of interest. Regardless of the shape of the specified, the shape of the pixels and 

1960 pixelmask arrays must necessarily be the bounding box of the specified region. If 

1961 the region extends beyond the image, it is truncated. 

1962  

1963 Recall that the recovered pixelmask will reflect both the pixelmask stored in the 

1964 image, and the region (their masks are 'anded' together). 

1965  

1966 The argument axes can be used to reduce the dimensionality of the output array. It 

1967 specifies which pixel axes of the image to average the data over. For example, 

1968 consider a 3-D image. With axes=[0,1] and all other arguments left at their 

1969 defaults, the result would be a 1-D vector, a profile along the third axis, with 

1970 the data averaged over the first two axes. 

1971  

1972 This method differs in a couple of ways from the getchunk() method. For example, 

1973 the specified region can be much more complex (eg, a union of polygons) than the 

1974 limited, simple regions that can be specified in getchunk(), which must be 

1975 rectangular. On the other hand, getregion() is less effective than getchunk() 

1976 for the same region specification. So if one is interested in say, iterating 

1977 through an image, getting a regular hyper-cube of pixels and doing something 

1978 with them, then getchunk() will be faster. This would be especially noticeable if 

1979 you iterated line by line through a large image (and of course, in both cases, 

1980 retrieving very large regions will become very resource intensive, as these 

1981 returned arrays are completely stored in memory). 

1982 """ 

1983 return self._swigobj.getregion(region, axes, mask, list, dropdeg, getmask, stretch) 

1984 

1985 def getprofile(self, axis=int(-1), function='mean', region={ }, mask='', unit='', stretch=False, spectype='default', restfreq='', frame='', logfile=''): 

1986 """This application returns information on a one-dimensional profile taken along a specified image axis. 

1987 The region of interest is collapsed (a'la ia.collapse() along all axes orthogonal to the one specified, and) 

1988 the specified aggregate function is applied to these pixels to generate the returned values. 

1989  

1990 The aggregate function must be one of the functions supported by ia.collapse; ie, 'flux', 'madm', 'max', 'mean', 

1991 'median', 'min', 'rms', 'stdev', 'sum', 'variance', and 'xmadm'. See the help for ia.collapse() for details regarding 

1992 these functions. Minimum match and case insenstivity is supported. In addition, single binary (addition, 

1993 subtraction, multiplication, and division) operations of these functions are supported, eg function='max*min' 

1994 will return data that is the product of the maximum and the mininum for each plane along the specified 

1995 axis. 

1996  

1997 One may specify the unit of the returned coordinate values. Unless axis is the spectral axis, unit must be 

1998 conformant with the corresponding axis unit in the image coordinate system or it must be 'pixel' which signifies, 

1999 pixel, rather than world, coordinate values should be calculated. If axis is the spectral axis, unit may be a 

2000 velocity unit (assuming the coordinate system has a rest frequency or restfreq is specified) or a length unit. 

2001 In these cases, the returned coordinate values will be converted to velocity or wavelength, respectively. 

2002  

2003 The parameter spectype may be used to specify the velocity or wavelength type for the returned coordinate values 

2004 if profile is taken along spectral axis. Supported (minimum match, case insensitive) values) are "relativistic 

2005 velocity", "beta", "radio velocity", "optical velocity", "wavelength", "air wavelength", "default". The "default" 

2006 value is equivalent to "relativistic" if unit is a velocity unit or "wavelength" if unit is a length unit. 

2007  

2008 The restfreq parameter allows one to set the rest frequency for the coordinates to be returned if axis is the 

2009 spectral axis and unit is a velocity unit. If blank, the rest frequency associated with the image coordinate 

2010 system is used. 

2011  

2012 The frame allows one to specify which kinematic reference frame that the returned coordinate values should be 

2013 calculated in. It is only used if axis is the spectral axis and unit is unspecified or is specified and a 

2014 frequency unit. If blank, the reference frame associated with the image coordinate system is used. 

2015  

2016 The returned dictionary 

2017 contains the keys: 

2018  

2019 values: one-dimensional array along the specified axis containing values resulting from applying the specified 

2020 aggregate function to corresponding pixels at the same location along that axis. 

2021 mask: one-dimensional array of booleans of the resulting mask after applying the aggregate function, formed in the 

2022 same way as that formed by ia.collapse. 

2023 coords One-dimensional array of corresponding coordinate values along the specified axis in the specified unit 

2024 (or the unit associated with the axis in the image coordinate system if unspecified). 

2025 xUnit The unit used for calculating the values the coords array. 

2026 """ 

2027 return self._swigobj.getprofile(axis, function, region, mask, unit, stretch, spectype, restfreq, frame, logfile) 

2028 

2029 def getslice(self, x, y, axes=[ int(0),int(1) ], coord=[ int(-1) ], npts=int(0), method='linear'): 

2030 """This function returns a 1-D slice (the pixels and opionally the pixel mask) from 

2031 the attached image. The slice is constrained to lie in a plane of two cardinal 

2032 axes (e.g. XY or YZ). Interpolation is permitted between pixels, and a set of 

2033 interpolation schemes is available. 

2034  

2035 The slice is specified as a polyline giving the x and y coordinates and the axes 

2036 of the plane holding that slice. The absolute pixel coordinates of the other 

2037 axes may be specified using the coord parameter. If not specified, these values 

2038 default to pixel 0 on the relevant axes. 

2039  

2040 The npts parameter allows the number of values to be returned. 

2041  

2042 The method parameter allows specification of the interpolation method to be 

2043 used. Allowed values are 'nearest', 'linear', and 'cubic'. In the case of an 

2044 image with complex valued pixels, the interpolation is done independently on the 

2045 real and imaginary values. For example, the linearly interpolated value midway 

2046 between pixels with values of 1 + 5j and 2 + 7j would be 1.5 + 6j. 

2047  

2048 The return value is a dictionary with keys 'pixels' (interpolated pixel values), 

2049 'mask' (interpolated mask), 'xpos' (x-location in absolute pixel coordinates), 

2050 'ypos' (y-location in absolute pixel coordinates), 'distance' (distance along 

2051 slice in pixels), and 'axes' (the x and y axes of slice). 

2052 """ 

2053 return self._swigobj.getslice(x, y, axes, coord, npts, method) 

2054 

2055 def hanning(self, outfile='', region={ }, mask='', axis=int(-10), drop=True, overwrite=False, stretch=False, dmethod='copy'): 

2056 """This application performs Hanning convolution of one axis of an image defined by 

2057  

2058 z[i] = 0.25*y[i-1] + 0.5*y[i] + 0.25*y[i+1] (equation 1) 

2059  

2060 where z[i] is the value at pixel i in the hanning smoothed image, and 

2061 y[i-1], y[i], and y[i+1] are the values of the input image at pixels i-1, 

2062 i, and i+1 respectively. It supports both float and complex valued images. 

2063 The length of the axis along which the convolution is to occur must be at least 

2064 three pixels in the selected region. Masked pixel values are set to zero prior to 

2065 convolution. All nondefault pixel masks are ignored during the calculation. 

2066  

2067 The convolution is done in the image domain (i.e., not with an FFT). 

2068  

2069 If drop=False, the length of the output axis will be the same as that of the input 

2070 axis. The output pixel values along the convolution axis will be related to those 

2071 of the input values according to equation 1, except the first and last pixels. In that 

2072 case, 

2073  

2074 z[0] = 0.5*(y[0] + y[1]) 

2075  

2076 and, 

2077  

2078 z[N-1] = 0.5*(y[N-2] + y[N-1]) 

2079  

2080 where N is the number of pixels along the convolution aixs. 

2081 The pixel mask, ORed with the OTF mask if specified, is copied from the selected 

2082 region of the input image to the output image. Thus for example, if the selected 

2083 region in the input image has six planes along the convolution axis, and if the pixel 

2084 values, which are all unmasked, on a slice along this axis are [1, 2, 5, 10, 17, 26], 

2085 the corresponding output pixel values will be [1.5, 2.5, 5.5, 10.5, 17.5, 21.5]. 

2086  

2087 If drop=True and dmethod="copy", the output image is the image calculated if 

2088 drop=True, except that only the odd-numbered planes are kept. Furthermore, if the 

2089 number of planes along the convolution axis in the selected region of the input image 

2090 is even, the last odd number plane is also discarded. Thus, if the selected region 

2091 has N pixels along the convolution axis in the input image, along the convolution 

2092 axis the output image will have (N-1)/2 planes if N is odd, or (N-2)/2 planes if N 

2093 is even. In this case, the pixel and mask values are copied directly, without further 

2094 processing. Thus for example, if the selected region in the input image has six planes 

2095 along the convolution axis, and if the pixel values, which are all unmasked, on a slice 

2096 along this axis are [1, 2, 5, 10, 17, 26], the corresponding output pixel values will be 

2097 [2.5, 10.5]. 

2098  

2099 If drop=True and dmethod="mean", first the image described in the drop=False case 

2100 is calculated. The first plane and last plane(s) of that image are then discarded as 

2101 described in the drop=True, dmethod="copy" case. Then, the ith plane of the output 

2102 image is calculated by averaging the (2*i)th and (2*i + 1)th planes of the intermediate 

2103 image.Thus for example, if the selected region in the input image has six planes 

2104 along the convolution axis, and if the pixel values, which are all unmasked, on a slice 

2105 along this axis are [1, 2, 5, 10, 17, 26], the corresponding output pixel values will be 

2106 [4.0, 14.0]. Masked values are taken into consideration when forming this average, so if 

2107 one of the values is masked, it is not used in the average. If at least one of the values 

2108 in the input pair is not masked, the corresponding output pixel will not be masked. 

2109  

2110 The hanning smoothed image is written to disk with name {stfaf outfile}, if 

2111 specified. If not, no image is written but the image is still accessible via 

2112 the returned image analysis tool (see below). 

2113  

2114 This method always returns an image analysis tool which is attached to the 

2115 hanning smoothed image. This tool should always be captured and closed after 

2116 any desired manipulations have been done. Closing the tool frees up system 

2117 resources (eg memory), eg, 

2118  

2119 hanning_image = ia.hanning(...) 

2120 begin{verbatim} 

2121 # do things (or not) with hanning_image 

2122 ... 

2123 # close the returned tool promptly upon finishing with it. 

2124 end{verbatim} 

2125 hanning_image.done() 

2126  

2127 See also the other convolution functions 

2128 convolve2d, 

2129 sepconvolve and 

2130 convolve. 

2131 """ 

2132 return _wrap_image(swig_object=self._swigobj.hanning(outfile, region, mask, axis, drop, overwrite, stretch, dmethod)) 

2133 

2134 def haslock(self): 

2135 """This function can be used to find out whether the image has a read or a 

2136 write lock set. It is not of general user interest. It returns 

2137 a vector of Booleans of length 2. Position 1 says whether 

2138 a read lock is set, position 2 says whether a write lock is set. 

2139  

2140 In general locking is handled automatically, with a built in lock 

2141 release cycle. However, this function can be useful in scripts when a 

2142 file is being shared between more than one process. See also functions 

2143 unlock and 

2144 lock. 

2145 """ 

2146 return self._swigobj.haslock() 

2147 

2148 def histograms(self, axes=[ int(-1) ], region={ }, mask='', nbins=int(25), includepix=[ float(-1) ], cumu=False, log=False, stretch=False): 

2149 """This method computes histograms of the pixel values in the image. 

2150 The values are returned in a dictionary. 

2151  

2152 The chunk of the image over which you compute the histograms is 

2153 specified by a vector of axis numbers (argument {stfaf axes}). For 

2154 example, consider a 3-dimensional image for which you specify {stfaf 

2155 axes=[0,2]}. The histograms would be computed for each XZ (axes 0 and 

2156 2) plane in the image. You could then examine those histograms as a 

2157 function of the Y (axis 1) axis. Or perhaps you set {stfaf axes=[2]}, 

2158 whereupon you could examine the histogram for each Z (axis 2) profile as 

2159 a function of X and Y location in the image. 

2160  

2161 You have control over the number of bins for each histogram ({stfaf 

2162 nbins}). The bin width is worked out automatically for each histogram 

2163 and may vary from histogram to histogram (the range of pixel values is 

2164 worked out for each chunk being histogrammed). 

2165  

2166 You have control over which pixels are included in the histograms via 

2167 the {stfaf includepix} argument. This vector specifies a range of 

2168 pixel values to be included in the histograms. If you only give one 

2169 value for this, say {stfaf includepix=[b]}, then this is interpreted as 

2170 {stfaf includepix=[-abs(b),abs(b)]}. If you specify an inclusion 

2171 range, then the range of pixel intensities over which the histograms are 

2172 binned is given by this range too. This is a way to make the bin width 

2173 the same for each histogram. 

2174  

2175 You can control if the histogram is cumulative or non-cumulative via the 

2176 cumu parameter. 

2177  

2178 You have countrol over how the bin counts are returned. If log = false, 

2179 the actual counts are returned. If true, the values returned are the log10 

2180 values of the actual counts. 

2181  

2182 The results are returned as a dictionary. The counts (field "counts") and 

2183 the abscissa values (field "values") for all bins in each histogram are returned. 

2184 The shape of the first dimension of those arrays contained in those fields is {stfaf nbins}. 

2185 The number and shape of the remaining dimensions are those of the display axes(the 

2186 axes in the image for which you did not compute the histograms). For example, if one 

2187 has a three dimensional image and sets {stfaf axes=[2]}, the display axes are 0 and 1, 

2188 so the shape of each counts and values array is then [nbins,nx,ny], where nx and ny 

2189 are the length of the zeroth and first axes, respectively. 

2190  

2191 In addition, the mean (field "mean") and standard deviation (field "sigma") computed 

2192 using the data in each histogram is returned. The shape of these arrays is equal to 

2193 the shape of the display axes. So, 

2194 """ 

2195 return self._swigobj.histograms(axes, region, mask, nbins, includepix, cumu, log, stretch) 

2196 

2197 def history(self, list=True): 

2198 """This method interogates the history of an image. 

2199  

2200 The history is returned as an array of strings, where each element represents 

2201 an individual history entry. If True, the list parameter will also cause the 

2202 history to be emitted by the logger. 

2203  

2204 Note that entries can be permanently added to the image history by using the 

2205 ia.sethistory() method. 

2206 """ 

2207 return self._swigobj.history(list) 

2208 

2209 def insert(self, infile='', region={ }, locate=[ float(-1) ], verbose=False): 

2210 """This function inserts the specified image (or part of it) into the image 

2211 referenced by this tool. 

2212 The specified image may be given via argument {stfaf infile} 

2213 as a disk file name (it may be in native casa, fits, or Miriad 

2214 format; Look htmlref{here}{IMAGES:FOREIGNIMAGES} for more 

2215 information on foreign images). 

2216  

2217 If the {stfaf locate} vector is not given, then the images are 

2218 aligned (to an integer pixel shift) by their reference pixels. 

2219  

2220 If {stfaf locate} vector is given, then those values that are given, 

2221 give the absolute pixel in the output (this) image of the bottom left 

2222 corner of the input (sub)image. For those values that are not given, 

2223 the input image is symmetrically placed in the output image. 

2224  

2225 The image referenced by this tool is modified in place; no new image 

2226 is created. The method returns True if successful. 

2227 """ 

2228 return self._swigobj.insert(infile, region, locate, verbose) 

2229 

2230 def isopen(self): 

2231 """This method returns True if the image tool has an attached image. 

2232 """ 

2233 return self._swigobj.isopen() 

2234 

2235 def ispersistent(self): 

2236 """This function can be used to find out whether the image is persistent on 

2237 disk or not. There is a subtle difference from the image being 

2238 virtual. For example, a virtual image which references another 

2239 which is on disk is termed persistent. 

2240 """ 

2241 return self._swigobj.ispersistent() 

2242 

2243 def lock(self, writelock=False, nattempts=int(0)): 

2244 """This function can be used to acquire a Read or a Read/Write lock 

2245 on the imagefile. It is not of general user interest. 

2246  

2247 In general locking is handled automatically, with a built in lock 

2248 release cycle. However, this function can be useful in scripts when a 

2249 file is being shared between more than one process. See also functions 

2250 unlock and haslock. 

2251 """ 

2252 return self._swigobj.lock(writelock, nattempts) 

2253 

2254 def makecomplex(self, outfile, imag, region={ }, overwrite=False): 

2255 """This function combines the current image with another image to make 

2256 a complex image. The current image (i.e. that associated with this 

2257 Image must have real valued pixels). The image used for generating the 

2258 imaginary part of the pixel values is specified using the imag parameter, and 

2259 it must persistent. The image attached to this tool and the image specified 

2260 using the imag parameter must have the same precision, or else an exception 

2261 will be thrown. If both are float precision, the resulting image will have 

2262 float precision pixel values. If both are double precision, the resulting image 

2263 will have double precision pixel values. The coordinate systems of the two 

2264 input images must be conformant. The metadata written to the resulting image is 

2265 copied from the image attached to this tool. 

2266 """ 

2267 return self._swigobj.makecomplex(outfile, imag, region, overwrite) 

2268 

2269 def maskhandler(self, op='default', name=[ ]): 

2270 """This method is used to manage or handle pixel masks . A CASA image may contain 

2271 zero, one, or more pixel masks. Any of these masks can be designated the 

2272 default pixel mask assoicated with the given image. The default mask is acted 

2273 upon and/or used by CASA applications. For example, if ia.statistics() will 

2274 exclude pixels which are masked as bad (False) from the calculations. 

2275  

2276 This method does not modify the individual boolean values of any masks. 

2277  

2278 The op parameter is used to specify the behaviour. In all cases, the specified 

2279 operation can be specified by a three character string. Supported values of the 

2280 op parameter are: 

2281  

2282 'default': Retrieve the name of the default pixel mask associated with the 

2283 image. A one element array containing the empty string is returned if the image 

2284 has no default mask. 

2285  

2286 'get': Retrieve the name(s) of all the existing pixel masks. Note that the 

2287 ia.summary() method may also be used to view the pixel masks associated with an 

2288 image. 

2289  

2290 'set': Set the default pixel mask to the value specified by the name parameter. 

2291 If the value of the name parameter is the empty string, then the default mask is 

2292 unset (ie, all the pixels will be treated as being unmasked). 

2293  

2294 'delete': Delete the pixel mask(s) specified by the name parameter. To delete 

2295 more than one mask, the name parameter can be an array of strings. Any supplied 

2296 pixel mask name that does not exist is silently ignored. 

2297  

2298 'rename': Rename the mask specified as the first element of the name array 

2299 parameter (name[0]) to the value specified in the second element of the name 

2300 array parameter (name[1]]. In this case, the name array parameter must have 

2301 exactly two elements. 

2302  

2303 'copy': Copy the mask specified in the first element of the name array 

2304 parameter (name[0]) to the a mask name specified in the second element of the 

2305 name array parameter (name[1]]. In this case, the name array parameter must have 

2306 exactly two elements. A mask from another image can be copied by using the 

2307 imagename:maskname syntax for the first element in the name array, eg, 

2308 'myimage:mask2'. 

2309 """ 

2310 return self._swigobj.maskhandler(op, name) 

2311 

2312 def miscinfo(self): 

2313 """A casa imagefile can accumulate miscellaneous information 

2314 during its lifetime. This information is stored in a record called the {stff 

2315 miscinfo} record. For example, the fits filler puts header keywords 

2316 it doesn't otherwise use into the {stff miscinfo} record. This {stff 

2317 miscinfo} record is not guaranteed to have any entries, so it's up to 

2318 you to check for any fields that you require. 

2319  

2320 You can also put things into this record (see 

2321 setmiscinfo) yourself, to keep 

2322 information that the system might not otherwise store for you. 

2323  

2324 When the image is written out to fits, the items in the 

2325 {stff miscinfo} record are written to the fits file 

2326 as keywords with the corresponding record field name. 

2327 """ 

2328 return self._swigobj.miscinfo() 

2329 

2330 def modify(self, model, region={ }, mask='', subtract=True, list=True, stretch=False): 

2331 """This function applies a model of the sky to the image. You can add or 

2332 subtract the model which is contained in a 

2333 Componentlist tool. 

2334  

2335 The pixel values are only changed where the total mask 

2336 (combination of the default pixel mask [if any] and the OTF mask) 

2337 is good (True). If the computation fails for a particular 

2338 pixel (e.g. coordinate undefined) that pixel will be 

2339 masked bad. 

2340  

2341 DISK MODELS 

2342  

2343 Pixels with centers inside the disk will have the same values, even if a pixel straddles the 

2344 edge of the disk. Pixels with straddle the edge of the disk which have centers outside the 

2345 disk are given values of zero. Thus, one should not expect the flux density of the disk to 

2346 be exactly the provided value to the component list; for a given size disk, the computed flux 

2347 density will be closer to the expected value for images with smaller pixels. 

2348 """ 

2349 return self._swigobj.modify(model, region, mask, subtract, list, stretch) 

2350 

2351 def maxfit(self, region={ }, point=True, width=int(5), negfind=False, list=True): 

2352 """This function finds the pixel with the maximum value in the region, and 

2353 then uses function findsources 

2354 to generate a Componentlist with one component. The component 

2355 will be of type Point ({stfaf point=T}) or Gaussian ({stfaf point=F}). 

2356  

2357 If {stfaf negfind=F} the maximum pixel value is found in the region and fit. 

2358 If {stfaf negfind=T} the absolute maximum pixel value is found in the region 

2359 and fit. 

2360  

2361 See function findsources for 

2362 a description of arguments {stfaf point} and {stfaf width}. 

2363  

2364 See also the function fitcomponents. 

2365 """ 

2366 return self._swigobj.maxfit(region, point, width, negfind, list) 

2367 

2368 def moments(self, moments=[ int(0) ], axis=int(-10), region={ }, mask='', method=[ ], smoothaxes=[ int(-1) ], smoothtypes=[ ], smoothwidths=[ float(0.0) ], includepix=[ float(-1) ], excludepix=[ float(-1) ], peaksnr=float(3.0), stddev=float(0.0), doppler='RADIO', outfile='', smoothout='', overwrite=False, drop=True, stretch=False): 

2369 """noindent{bf Summary} 

2370  

2371 The primary goal of this function is to enable you to analyze a 

2372 multi-dimensional image by generating moments of a specified axis. 

2373 This is a time-honoured spectral-line analysis technique used for 

2374 extracting information about spectral lines. 

2375  

2376 You can generate one or more output moment images. The return value 

2377 of this function is an on-the-fly Image tool holding the {bf first} 

2378 of the output moment images. 

2379  

2380 The word 'moment' is used loosely here. It refers to collapsing an axis 

2381 (the moment axis) to one pixel and setting the value of that pixel (for 

2382 all of the other non-collapsed axes) to something computed from the data 

2383 values along the moment axis. For example, take an RA-DEC-Velocity 

2384 cube, collapse the velocity axis by computing the mean intensity at each 

2385 RA-DEC pixel. This function offers many different moments and a variety 

2386 of automatic methods to compute them. 

2387  

2388 We try to make a distinction between a 'moment' and a 'method'. This 

2389 boundary is a little blurred, but it claims to refer to the distinction 

2390 between what you are computing, and how the pixels that were included in 

2391 that computation were selected. For example, a 'moment' would be the 

2392 average value of some pixel values in a spectrum. A 'method' for 

2393 selecting those pixels would be a simple pixel value range specifying 

2394 which pixels should be included. 

2395  

2396 There are many available moments, and you specify each one with an 

2397 integer code as it would get rather cumbersome to refer to them via 

2398 strings. In the list below, the value of the $i$th pixel of the 

2399 spectrum is $I_i$, the coordinate of this pixel is $v_i$ (of course it 

2400 may not be velocity), and there are $n$ pixels in the spectrum. The 

2401 available moments are: 

2402  

2403 begin{itemize} 

2404 item{$-1$} -- the mean value of the spectrum 

2405 begin{displaymath} 

2406 { {1over n} {sum {I_i}}} 

2407 end{displaymath} 

2408 medskip 

2409  

2410 item{0} -- the integrated value of the spectrum 

2411 begin{displaymath} 

2412 M_0 = Delta v sum I_i 

2413 end{displaymath} 

2414  

2415 where $Delta v$ is the width (in world coordinate units) of a pixel 

2416 along the moment axis 

2417 medskip 

2418  

2419 item{1} -- the intensity weighted coordinate (this is 

2420 traditionally used to get 'velocity fields') 

2421  

2422 begin{displaymath} 

2423 M_1 = { {sum {I_i v_i}} over {M_0}} 

2424 end{displaymath} 

2425 medskip 

2426  

2427 item{2} -- the intensity weighted dispersion of the coordinate 

2428 (this is traditionally used to get 'velocity dispersion fields') 

2429  

2430 begin{displaymath} 

2431 sqrt{ { {sum {I_i left(v_i - M_1right)^2}} over {M_0}}} 

2432 end{displaymath} 

2433 medskip 

2434  

2435 item{3} -- the median of $I$ 

2436 medskip 

2437  

2438 item{4} -- the median coordinate. Here we treat the spectrum as a 

2439 probability distribution, generate the cumulative distribution, and then 

2440 find the coordinate corresponding to the 50% value. This moment is not 

2441 very robust, but it is useful for quickly generating a velocity field in 

2442 a way that is not sensitive to noise. However, it will only give 

2443 sensible results under certain conditions. The generation of the 

2444 cumulative distribution and the finding of the 50% level really only 

2445 makes sense if the cumulative distribution is monotonic. This 

2446 essentially means only selecting pixels which are positive or negative. 

2447 For this reason, this moment type is only supported with the basic 

2448 method (see below -- i.e. no smoothing, no windowing, no fitting) with 

2449 a pixel selection range that is either all positive, or all negative 

2450 medskip 

2451  

2452 item{5} -- the standard deviation about the mean of the spectrum 

2453 begin{displaymath} 

2454 sqrt{ {1over {left(n-1right)}} sum{left(I_i - bar{I}right)^2 }} 

2455 end{displaymath} 

2456 medskip 

2457  

2458 item{6} -- the root mean square of the spectrum 

2459 begin{displaymath} 

2460 sqrt{ {1 over n} sum{I_i^2}} 

2461 end{displaymath} 

2462 medskip 

2463  

2464 item{7} -- the absolute mean deviation of the spectrum 

2465 begin{displaymath} 

2466 {1 over n} sum {|(I_i - bar{I})|} 

2467 end{displaymath} 

2468 medskip 

2469  

2470 item{8} -- the maximum value of the spectrum 

2471 medskip 

2472 item{9} -- the coordinate of the maximum value of the spectrum 

2473 medskip 

2474 item{10} -- the minimum value of the spectrum 

2475 medskip 

2476 item{11} -- the coordinate of the minimum value of the spectrum 

2477 medskip 

2478 end{itemize} 

2479  

2480 bigskip 

2481 noindent {Smoothing} 

2482  

2483 The purpose of the smoothing functionality is purely to provide 

2484 a mask. Thus, you can smooth the input image, apply a pixel 

2485 include or exclude range, and generate a smoothed mask which is then 

2486 applied before the moments are generated. The smoothed data 

2487 are not used to compute the actual moments; that is always done 

2488 from the original data. 

2489  

2490 bigskip 

2491 noindent{bf Basic Method} 

2492  

2493 The basic method is to just compute moments directly from the pixel 

2494 values. This can be modified by applying pixel value inclusion or 

2495 exclusion ranges (arguments {stfaf includepix} and {stfaf excludepix}). 

2496  

2497 You can then also convolve the image (arguments {stfaf smoothaxes}, {stfaf 

2498 smoothtypes}, and {stfaf smoothwidths}) and find a mask based on the inclusion 

2499 or exclusion ranges applied to the convolved image. This mask is then 

2500 applied to the unsmoothed data for moment computation. 

2501  

2502 bigskip 

2503 noindent{bf Window Method} 

2504  

2505 The window method (invoked with argument {stfaf method='window'}) does 

2506 no pixel-value-based selection. Instead a window is found (hopefully 

2507 surrounding the spectral line feature) and only the pixels in that 

2508 window are used for computation. This window can be found from the 

2509 convolved or unconvolved image (arguments {stfaf smoothaxes}, {stfaf 

2510 smoothtypes}, and {stfaf smoothwidths}). 

2511  

2512 The moments are always computed from the unconvolved data. The window 

2513 can be found (for each spectrum) automatically. The 

2514 automatic methods are via Bosma's converging mean algorithm ({stfaf 

2515 method='window'}) or by fitting Gaussians and taking $pm 3sigma$ as 

2516 the window ({stfaf method='window,fit'}). 

2517 In Bosma's algorithm, an initial guess for a range of pixels surrounding 

2518 a spectral feature is refined by widening until the mean of the pixels 

2519 outside of the range converges (to the noise). 

2520  

2521 bigskip 

2522 noindent{bf Fit Method} 

2523  

2524 The fit method ({stfaf method='fit'}) fits Gaussians to spectral 

2525 features automatically. The moments are then computed from the 

2526 Gaussian fits (not the data themselves). 

2527  

2528 bigskip 

2529 noindent{bf Other Arguments} 

2530  

2531 begin{itemize} 

2532  

2533 item {stfaf outfile} - If you are creating just one moment image, 

2534 and you specify {stfaf outfile}, then the image is created 

2535 on disk with this name. If you leave {stfaf outfile} empty 

2536 then a temporary image is created. In both cases, you can 

2537 access this image with the returned Image tool. If you are 

2538 making more than one moment image, then theses images are always 

2539 created on disk. If you specify {stfaf outfile} then this is 

2540 the root for the output file names. If you don't specify it, 

2541 then the input image name is used as the root. 

2542  

2543 item {stfaf smoothing} - If you smooth the image to generate a 

2544 mask, you specify the kernel widths via the {stfaf smoothwidths} 

2545 argument in the same way as in the 

2546 sepconvolve function. See it for 

2547 details. 

2548  

2549 item {stfaf stddev} - Some of the automatic methods also require an 

2550 estimate of the noise level in the image. This is used to assess 

2551 whether a spectrum is purely noise or not, and whether there is any 

2552 signal worth digging out. If you don't give it via the {stfaf stddev} 

2553 argument, it will be worked out automatically from a Gaussian fit to the 

2554 bins above 25% from a histogram of the entire image. 

2555  

2556 item {stfaf includepix, excludepix} - The vectors given by arguments 

2557 {stfaf includepix} and {stfaf excludepix} specify a range of pixel 

2558 values for which pixels are either included or excluded. They are 

2559 mutually exclusive; you can specify one or the other, but not both. If 

2560 you only give one value for either of these, say {stfaf includepix=b}, 

2561 then this is interpreted as {stfaf includepix=[-abs(b),abs(b)]}. 

2562  

2563 The convolving point-spread function is normalized to have a volume of 

2564 unity. This means that point sources are depressed in value, but 

2565 extended sources that are large with respect to the PSF remain 

2566 essentially on the same intensity scale; these are the structures you 

2567 are trying to find with the convolution so this is what you want. 

2568 If you convolve the image, then arguments like {stfaf includepix} select 

2569 based upon the convolved image pixel values. If you are having trouble 

2570 getting these right, you can output the convolved image ({stfaf smoothout}) 

2571 and assess the validity of your pixel ranges. Note also that if you are 

2572 Hanning convolving (usually used on a velocity axis), then the width for 

2573 this kernel must be 3 pixels (triangular smoothing kernels of other 

2574 widths have no valid theoretical basis). 

2575  

2576 item {stfaf doppler} - If you compute the moments along a spectral 

2577 axis, it is conventional to compute the world coordinate (needed for 

2578 moments 0, 1 and 2) along that axis in "km/s". The argument {stfaf 

2579 doppler} lets you specify what doppler convention the velocity will be 

2580 calculated in. You can choose from {stfaf doppler=radio, optical, 

2581 true}. See function summary for the 

2582 definitions of these codes. For other moment-axis types, the world coordinate 

2583 is computed in the native units. 

2584  

2585 item {stfaf mask} - The total input mask is the combination of the 

2586 default pixelmask (if any) and the OTF mask. Once this mask 

2587 has been established, then the moment method may make additional 

2588 pixel selections. 

2589  

2590 item {stfaf drop} - If this is true (the default) then the moment axis 

2591 is dropped from the output image. Otherwise, the output images have a 

2592 moment axis of unit length and coordinate information that is the same 

2593 as for the input image. This coordinate information may be totally 

2594 meaningless for the moment images. 

2595  

2596 end{itemize} 

2597  

2598 Finally, if you ask for a moment which requires the coordinate to be 

2599 computed for each profile pixel (these are the intensity weighted mean 

2600 coordinate [moment 1] and the intensity weighted dispersion of the 

2601 coordinate [moment 2]), and the profile axis is not separable then there 

2602 will be a performance loss. Examples of non-separable axes are RA and 

2603 Dec. If the axis is separable (e.g. a spectral axis) there is no 

2604 penalty. In the latter case, the vector of coordinates for one profile 

2605 is the same as the vector for another profile, and it can be precomputed 

2606 (once). 

2607  

2608 Note that this function has no ``virtual'' output file capability. All 

2609 output files are written to disk. The output mask for these images is 

2610 good (T) unless the moment method fails to generate a value (e.g. the 

2611 total input pixel mask was all bad for the profile) in which case it will be bad (F). 

2612  

2613 If an image has multiple (per-channel beams) and the moment axis is equal to the 

2614 spectral axis, each channel will be convolved with a beam that is equal to the beam 

2615 having the largest area in the beamset prior to moment determination. 

2616 """ 

2617 return _wrap_image(swig_object=self._swigobj.moments(moments, axis, region, mask, method, smoothaxes, smoothtypes, smoothwidths, includepix, excludepix, peaksnr, stddev, doppler, outfile, smoothout, overwrite, drop, stretch)) 

2618 

2619 def name(self, strippath=False): 

2620 """This function returns the name of the imagefile By default, this 

2621 function returns the full absolute path of the imagefile. You can 

2622 strip this path off if you wish with the {stfaf strippath} argument and 

2623 just recover the imagefile name itself. 

2624 """ 

2625 return self._swigobj.name(strippath) 

2626 

2627 def open(self, infile, cache=True): 

2628 """This method detaches from the current image (if an image is attached to the tool), and 

2629 reattaches it (opens) to the new image. 

2630  

2631 The input image file may be in native CASA, FITS, or Miriad format. In the case 

2632 of CASA images, images with float, complex float, double, and complex double 

2633 valued pixels are supported. Note that only FITS images with float valued pixels 

2634 are supported. 

2635  

2636 The cache parameter applies only to component list images and indicates if pixel 

2637 values should be cached after they are computed for faster retrieval. It is not 

2638 used for other image types. 

2639 """ 

2640 return self._swigobj.open(infile, cache) 

2641 

2642 def pad(self, outfile='', npixels=int(1), value=float(0), padmask=False, overwrite=False, region={ }, box='', chans='', stokes='', mask='', stretch=False, wantreturn=True): 

2643 """This method pads the directional plane of an image with a specified number of pixels on each side. The 

2644 numerical and mask values of the padding pixels may also be specified. If a region is selected, a subimage 

2645 of that region is created and then padded with the specified pixel parameters. Thus, padding an image of 

2646 shape (ra, dec, freq) = (512, 512, 10) specifying npixels = 3 results in an image of size (518, 518, 10), with 

2647 the blc of the directional plane of the original pixel set corresponding to the directional pixel of (3, 3) 

2648 in the output. 

2649 If wantreturn is True, an image analysis tool attached to the output image is returned. If False, none is 

2650 returned. 

2651  

2652 """ 

2653 return _wrap_image(swig_object=self._swigobj.pad(outfile, npixels, value, padmask, overwrite, region, box, chans, stokes, mask, stretch, wantreturn)) 

2654 

2655 def crop(self, outfile='', axes=[ ], overwrite=False, region={ }, box='', chans='', stokes='', mask='', stretch=False, wantreturn=True): 

2656 """This method crops masked slices from the perimeter of an image. The axes parameter specifies which axes to 

2657 consider. Axes not specified will not be cropped. An empty array implies that all axes should be considered. 

2658 If wantreturn is True, an image analysis tool attached to the output image is returned. If False, none is 

2659 returned. 

2660  

2661 """ 

2662 return _wrap_image(swig_object=self._swigobj.crop(outfile, axes, overwrite, region, box, chans, stokes, mask, stretch, wantreturn)) 

2663 

2664 def pixelvalue(self, pixel=[ int(-1) ]): 

2665 """This function gets the value of the image and the mask at the specified 

2666 pixel coordinate. The values are returned in a record with fields 

2667 'value', 'mask' and 'pixel'. The value is returned as a quantity, the mask 

2668 as a Bool (T is good). The 'pixel' field holds the actual 

2669 pixel coordinate used. 

2670  

2671 If the specified pixel coordinate is off the image, "{}" is returned. 

2672  

2673 Excessive elements in {stfaf pixel} are silently discarded. 

2674 Missing elements are given the (nearest integer) value of the reference pixel. 

2675 This is reflected in the output record 'pixel' field. 

2676 """ 

2677 return self._swigobj.pixelvalue(pixel) 

2678 

2679 def putchunk(self, pixels=[ ], blc=[ int(-1) ], inc=[ int(1) ], list=False, locking=True, replicate=False): 

2680 """This method puts an array into the image (which must be writable, eg it 

2681 will fail on FITS images). If there is a default pixel mask, it is 

2682 ignored. It is the complement of the getchunk() method. The blc, trc, 

2683 and increment (inc) may be specified. If they are unspecified, they 

2684 default to the beginning of the image and an increment of one. 

2685  

2686 Any illegal blc values are set to zero. Any illegal inc values are set 

2687 to unity. 

2688  

2689 An error will result if an attempt is made to put an array the extends 

2690 beyond the image edge (i.e., it is not truncated or decimated). 

2691  

2692 If there are fewer axes in the array than in the image, the array is 

2693 assumed to have trailing axes of length unity. Thus, if you have a 2D 

2694 array and want to put it in as the YZ plane rather than the XY plane, 

2695 you must ensure that the shape of the array is [1,nx,ny]. 

2696  

2697 However, the replicate parameter can be used to replicate the array 

2698 throughout the image (from the blc to the trc). For example, if a 2D 

2699 array is provided for a 3D image, it can be replicated along the third 

2700 axis by setting replicate=True. The replication is done from the 

2701 specified blc to the end of the image. Method putregion() can be used 

2702 to terminate the replication at a trc value. 

2703  

2704 The locking parameter controls two aspects. If True, then after the 

2705 method is called, the image is unlocked (so some other process can 

2706 acquire a lock) and it is indicated that the image has 

2707 changed. The reason for having this argument is that the unlocking and 

2708 updating processes are quite expensive. If putchunk() is called 

2709 repeatedly in eg, a loop, it is advisable to set this parameter to True. 

2710  

2711 A related function is putregion(), which supports putting the pixel and 

2712 mask values into a more complex region. Method putchunk() is faster and 

2713 therefore preferable for repeated operation in loops if the pixel mask 

2714 is not required. 

2715  

2716 See also the methods set() and calc() which can also be used to change 

2717 pixel values. 

2718 """ 

2719 return self._swigobj.putchunk(pixels, blc, inc, list, locking, replicate) 

2720 

2721 def putregion(self, pixels=[ ], pixelmask=[ ], region={ }, list=False, usemask=True, locking=True, replicate=False): 

2722 """This function replaces data and/or pixel mask values in the image in the 

2723 specified region. The pixels and/or pixelmask arrays must be the shape of 

2724 the bounding box, and the whole bounding box is replaced in the image. The 

2725 region is only used to specify the bounding box. If the region extends 

2726 beyond the image, it is truncated. If the pixels or pixelmask array shapes 

2727 do not match the bounding box, an error will result. Values in the pixels 

2728 array must share the same domain as the pixel values in the image. If the 

2729 pixels array contains real values and the image pixels contain complex 

2730 values (or vice versa), an exception will be thrown. 

2731  

2732 When you put a pixel mask, it either replaces the current default pixel mask, 

2733 or is created. 

2734  

2735 The usemask parameter is only relevant when you are putting pixel values and 

2736 there is a pixel mask (meaning also the one you might have just put in place). 

2737 If usemask=True, then only pixels for which the mask is good (True) are 

2738 altered. If usemask=False, then all the pixels in the region are altered. 

2739  

2740 The replicate parameter can be used to replicate the array throughout the 

2741 image (from the blc to the trc). For example, if a two dimensional array is 

2742 provided for a three dimensional image, it can be replicated along the third 

2743 axis by setting replicate=True. The replication is done in the specified 

2744 region. 

2745  

2746 The locking parameter controls two things. If True, then after the method 

2747 is called, the image is unlocked (so some other process can acquire a lock) 

2748 and it is indicated that the image has changed. The reason for this 

2749 parameter is that the unlocking and updating processes are quite expensive. 

2750 If putregion() is being called multiple times, in a for loop, for example, 

2751 it is recommended to set locking=True (and to consider using putchunk() 

2752 instead). 

2753  

2754 See the related functions putchunk, set and calc. 

2755 """ 

2756 return self._swigobj.putregion(pixels, pixelmask, region, list, usemask, locking, replicate) 

2757 

2758 def rebin(self, outfile, bin, region='', mask='', dropdeg=False, overwrite=False, stretch=False, crop=False): 

2759 """This application rebins the current image by the specified integer binning 

2760 factors for each axis. It supports both float valued and complex valued images. 

2761 The corresponding output pixel value is the average of the 

2762 input pixel values. The output pixel will be masked bad if there 

2763 were no good input pixels. A polarization axis cannot be rebinned. 

2764  

2765 The binning factors array must contain at least one element and no more 

2766 elements than the number of input image axes. If the number of elements 

2767 specified is less than the number of image axes, then the remaining axes 

2768 not specified are not rebinned. All specified values must be positive. A 

2769 value of one indicates that no rebinning of the associated axis will occur. 

2770  

2771 Binning starts from the origin pixel of the bounding box of the selected region or 

2772 the origin pixel of the input image if no region is specified. The value of crop 

2773 is used to determine how to handle cases where there are pixels 

2774 at the end of the axis that do not form a complete bin. If crop=True, 

2775 extra pixels at the end of the axis are discarded. If crop=False, the remaining 

2776 pixels are averaged into the final bin along that axis. Should the length 

2777 of the axis to be rebinned be an integral multiple of the associated binning 

2778 factor, the value of crop is irrelevant. 

2779  

2780 A value of dropdeg=True will result in the output image not containing 

2781 axes that are degenerate in the specified region or in the input image if no 

2782 region is specified. Note that, however, the binning 

2783 factors array must still account for degenerate axes, and the binning 

2784 factor associated with a degenerate axis must always be 1. 

2785  

2786 If {stfaf outfile} is given, the image is written to the specified 

2787 disk file. If {stfaf outfile} is unset, the Image tool is 

2788 associated with a temporary image. This temporary image may be in 

2789 memory or on disk, depending on its size. When you destroy the 

2790 on-the-fly Image tool returned by this function (with the done function) this 

2791 temporary image is deleted. 

2792 """ 

2793 return _wrap_image(swig_object=self._swigobj.rebin(outfile, bin, region, mask, dropdeg, overwrite, stretch, crop)) 

2794 

2795 def regrid(self, outfile='', shape=[ int(-1) ], csys={ }, axes=[ int(-1) ], region={ }, mask='', method='linear', decimate=int(10), replicate=False, doref=True, dropdeg=False, overwrite=False, force=False, asvelocity=False, stretch=False): 

2796 """This function regrids the current image onto a grid specified by the given 

2797 coordinate system. The shape of the output image may also be specified. 

2798  

2799 The coordinate system must be specified via a cs tool (using cs.torecord()). It 

2800 is optional; if not specified, the coordinate system from the input image (ie, 

2801 the one to which you are applying the regrid function) is used. The order of the 

2802 coordinates and axes in the output image is always the same as the input image. 

2803 It simply finds the relevant coordinate in the supplied coordinate system in 

2804 order to determine the regridding parameters. The supplied coordinate system 

2805 must have at least as many coordinates as are required to accomodate the axes 

2806 that are to be regridded (eg, if the first two axes are to be regridded, and 

2807 these belong to a direction coordinate, one direction coordinate in the supplied 

2808 coordinate system is required). Coordinates pertaining to axes that are not 

2809 being regridded are supplied from the input image, not the specified coordinate 

2810 system. 

2811  

2812 Reference changes are handled (eg, J2000 to B1950, LSR to TOPO). In general, the 

2813 conversion machinery attempts to work out how sophisticated it needs to be (eg, 

2814 is the regridding being done from LSR to LSR or from LSR to TOPO). However, it 

2815 errs on the side of caution if the conversion machine requires more information 

2816 than it actually needs. For full frame conversions, one needs to know things 

2817 like the position on the earth's surface where the observation occurred, 

2818 direction (celestial coordinates) of observation, and time of observation. 

2819  

2820 If you get such errors and you are doing a frame conversion, then that means you 

2821 must insert some extra information into the coordinate system of your image. 

2822 Most likely it's the time (in which case you can use cs.setepoch()) and/or 

2823 position (in which case you can use cs.settelescope()) that are missing. If you 

2824 get these errors and you are certain that you are not specifying a frame change 

2825 (eg, regrid LSR to LSR) then try setting doref=False. This will (silently) 

2826 bypass all possible frame conversions. Note that if you are requesting a frame 

2827 conversion and you set doref=False, no warnings will be emitted and the output 

2828 image will likely be nonsensical. 

2829  

2830 If you regrid a plane holding a direction coordinate and the units are Jy/pixel, 

2831 then the output is scaled to conserve flux (roughly; just one scale factor at 

2832 the reference pixel is computed). 

2833  

2834 Regridding of complex-valued images is supported. The real and imaginary parts 

2835 are regridded independently and the resulting regridded pixel values are 

2836 combined to form the regridded, complex-valued image. 

2837  

2838 A variety of interpolation schemes are provided (you need only specify the first 

2839 three characters to the method parameter). The cubic interpolation is 

2840 substantially slower than linear, and often the improvement is modest. By 

2841 default, linear interpolation is used. 

2842  

2843 You specify the shape of the output image using the shape parameter and which 

2844 output axes you want to regrid. Note that a Stokes axis cannot be regridded 

2845 (you will get a warning if you try). 

2846  

2847 The axes parameter cannot be used to discard axes from the output image; it can 

2848 only be used to specify which output axes are going to be regridded and which 

2849 are not. Any axis that you are not regridding must have the same output shape as 

2850 the input image shape for that axis. 

2851  

2852 The axes parameter can also be used to specify the order in which the output 

2853 axes are regridded. This may give you significant performance benefits. For 

2854 example, imagine we are going to regrid a spectral-line cube of shape 

2855 [512,512,1204] to shape [256,256,32]. If you specified axes=[0,1,2] then first, 

2856 the direction axes would be regridded for each of the 1024 pixels (and stored in 

2857 a temporary image). Then each spectral profile at each spatial location in the 

2858 temporary image would be regridded to 32 pixels. You could speed this process 

2859 up significantly by setting axes=[2,0,1]. In this case, first each spectral 

2860 profile would be regridded to 32 pixels, and then each plane of the 32 pixels 

2861 would be regridded. Note that the order of axes does not affect the order of the 

2862 shape parameter; ie, it should be given in the natural pixel axis order of the 

2863 image ()[256,256,32] in both cases of this example). 

2864  

2865 You can also specify a region to be applied to the input image. If you do this, 

2866 you need to be careful with the output shape for non-regridded axes (must match 

2867 that of the region - use function ia.boundingbox() to determine that). 

2868  

2869 If the outfile parameter is specified, the image is written to the specified 

2870 disk file. If this parameter is unset, the on-the-fly image analysis tool 

2871 returned by this method is associated with a temporary image. This temporary 

2872 image may be in memory or on disk, depending on its size. When you destroy the 

2873 on-the-fly image analysis tool (with either the ia.close() or ia.done() 

2874 methods), this temporary image is deleted. 

2875  

2876 The replicate parameter can be used to simply replicate pixels rather than 

2877 regridding them. Normally replicate=False, for every output pixel, its world 

2878 coordinate is computed and the corresponding input pixel found (then a little 

2879 interpolation grid is generated). If replicate=True, then for every output 

2880 axis, a vector of regularly sampled input pixels is generated (based on the 

2881 ratio of the output and input axis shapes). So this just means the pixels get 

2882 replicated (by whatever interpolation scheme you use) rather than regridded in 

2883 world coordinate space. This process is much faster, but its not a true world 

2884 coordinate based regrid. 

2885  

2886 As decribed above, when replicate=False, a coordinate is computed for each 

2887 output pixel; this is an expensive operation. The decimate parameter allows you 

2888 to decimate the computation of that coordinate grid to a sparse grid, which is 

2889 then filled in via fast interpolation. The default is decimate=10. The number 

2890 of pixels per axis in the sparse grid is the number of output pixels for that 

2891 axis divided by the decimation factor. A factor of 10 does pretty well. You may 

2892 find that for very non-linear coordinate systems (e.g. very close to the pole) 

2893 that you have to reduce the decimation factor. You may also have to reduce the 

2894 decimation factor if the number of pixels in the output image along an axis to 

2895 be regridded is less than about 50, or the output image may be completely 

2896 masked. 

2897  

2898 If one of the axes to be regridded is a spectral axis and asvelocity=True, the 

2899 axis will be regridded to match the velocity, not the frequency, description of 

2900 the template spectral coordinate. Thus the output pixel values will correspond 

2901 only to the velocity, not the frequency, of the output axis. 

2902  

2903 Sometimes it is useful to drop axes of length one (degenerate axes). Setting 

2904 the dropdeg parameter to True will do that. It will discard the axes from the 

2905 input image. Therefore the output shape and coordinate system that you supply 

2906 must be consistent with the input image after the degenerate axes are dropped. 

2907  

2908 The force parameter can be used to force all specified axes to be regridded, 

2909 even if the algorithm determines that they don't need to be (because the input 

2910 and output coordinate information is identical). 

2911  

2912 The cs tool has a useful method, cs.setreferencelocation(), that can be used to 

2913 keep a specific world coordinate in the center of an image when regridding (see 

2914 example below). 

2915  

2916 The output pixel mask will be True (good) unless the regridding failed to find a 

2917 value for that output pixel in which case it will be False. For example, if the 

2918 total input mask (default input pixel mask plus OTF mask) for all of the 

2919 relevant input pixels were masked bad then the output pixel would be masked 

2920 (False). 

2921  

2922 MULTIPLE AXIS COORDINATES LIMITATION 

2923 Some cooordinates contain multiple axes. For example, a direction coordinate 

2924 contains both longitude-like and latitude-like axes. A linear coordinate can 

2925 also contain multiple axes. When you regrid *any* axis from a coordinate which 

2926 contains multiple axes, you must fully specify the coordinate information for 

2927 all axes in that coordinate in the coordinate system that you provide. For 

2928 example, if you have a linear coordinate with two axes and you want to regrid 

2929 axis one only. In the coordinate system you provide, the coordinate information 

2930 for axis two (not being regridded) must correctly be a copy from the input 

2931 coordinate system (it won't be filled in for you). 

2932  

2933 If an image has per-plane beams and one attempts to regrid the spectral axis, 

2934 an exception is thrown. 

2935  

2936 IMPORTANT NOTE ABOUT FLUX CONSERVATION 

2937 in general regridding is inaccurate for images that the angular resolution is 

2938 poorly sampled. A check is done for such cases and a warning message is emitted 

2939 if a beam present. However, no such check is done if there is no beam present. 

2940 To add a restoring beam to an image, use ia.setrestoringbeam(). 

2941 """ 

2942 return _wrap_image(swig_object=self._swigobj.regrid(outfile, shape, csys, axes, region, mask, method, decimate, replicate, doref, dropdeg, overwrite, force, asvelocity, stretch)) 

2943 

2944 def transpose(self, outfile='', order=[ ]): 

2945 """This method transposes the axes in the input image to the specified 

2946 order. The associated pixel and mask values and coordinate system are transposed. 

2947  

2948 If the outfile parameter is empty, only a temporary image is created; no output image 

2949 is written to disk. 

2950  

2951 The order parameter describes the mapping of the input axes to the output axes. 

2952 It can be one of three types: a non-negative integer, a string, or a list of 

2953 strings. If a string or non-negative integer, it should contain 

2954 zero-based digits describing the new order of the input axes. It must 

2955 contain the same number of (unique) digits as the number of input axes. For example, 

2956 specifying reorder="1032" or reorder=1032 for a four axes image maps input axes 

2957 1, 0, 3, 2 to output axes 0, 1, 2, 3. In the case of order being a nonnegative integer 

2958 and the zeroth axis in the input being mapped to zeroth axis in the output, the zeroth 

2959 digit is implicitly understood to be 0 so that to transpose an image where one would 

2960 use a string order="0321", one could equivalently specify an int order=321. 

2961 IMPORTANT: When specifying a non-negative integer and mapping the zeroth axis of 

2962 the input to the zeroth axis of the output, do *not* explicitly specify the leading 

2963 0; eg, specify order=321 rather than order=0321. Python interprets an integer with 

2964 a leading 0 as an octal number. 

2965  

2966 Because of ambiguity for axes numbers greater than nine, using string or integer order 

2967 specifications cannot handle images containing more than 10 axes. 

2968 The order parameter can also be specified as a list of strings which uniquely minimally match, 

2969 ignoring case, the image axis names (ia.coordsys().names()). 

2970 So to reorder an image with right ascension, declination, and frequency axes, one could 

2971 specify order=["d", "f", "r"] or equivalently ["decl", "frequ", "right a"]. Note that 

2972 specifying "ra" for the right ascension axis will result in an error because "ra" does 

2973 not match the first two characters of right ascension. 

2974 Axes can be simultaneously inverted in cases where order is a string or an array of 

2975 strings by specifying negative signs in front of the axis/axes to be inverted. So, 

2976 in a 4-D image, order="-10-3-2" maps input axes 1, 0, 3, 2 to output axes 0, 1, 2, 3 

2977 and reverses the direction and values of input axes 1, 3, and 2. 

2978  

2979 """ 

2980 return _wrap_image(swig_object=self._swigobj.transpose(outfile, order)) 

2981 

2982 def rotate(self, outfile='', shape=[ int(-1) ], pa=[ ], region={ }, mask='', method='cubic', decimate=int(0), replicate=False, dropdeg=False, overwrite=False, stretch=False): 

2983 """This function rotates two axes of an image. These axes are either 

2984 those associated with a Direction coordinate or with a Linear 

2985 coordinate. The Direction coordinate takes precedence. 

2986 If rotating a Linear coordinate, it must hold precisely two axes. 

2987  

2988 The method is that the Coordinate is rotated and then the input 

2989 image is regridded to the rotated Coordinate System. 

2990  

2991 If the image brightness units are Jy/pixel then the output is scaled to 

2992 conserve flux (roughly; just one scale factor at the reference pixel is 

2993 computed). 

2994  

2995 A variety of interpolation schemes are provided (you need only specify 

2996 the first three characters to {stfaf method}). The cubic 

2997 interpolation is substantially slower than linear. By default you get 

2998 cubic interpolation. 

2999  

3000 You can specify the shape of the output image ({stfaf shape}). 

3001 However, all axis that are not regrided retain the same output shape 

3002 as the input image shape for that axis. Only the direction coordinate 

3003 axes are regridded. 

3004  

3005 You can also specify a region to be applied to the input image. If 

3006 you do this, you need to be careful with the output shape for 

3007 non-regridded axes (must match that of the region - use function 

3008 boundingbox to find that out). 

3009  

3010 If {stfaf outfile} is given, the image is written to the specified 

3011 disk file. If {stfaf outfile} is unset, the on-the-fly Image tool 

3012 returned by this function is associated with a temporary image. This 

3013 temporary image may be in memory or on disk, depending on its size. 

3014 When you destroy the on-the-fly Image tool (with the done function) this 

3015 temporary image is deleted. 

3016  

3017 The argument {stfaf replicate} can be used to simply replicate pixels 

3018 rather than regridding them. Normally ({stfaf replicate=F}), for every 

3019 output pixel, its world coordinate is computed and the corresponding 

3020 input pixel found (then a little interpolation grid is generated). If 

3021 you set {stfaf replicate=T}, then what happens is that for every output 

3022 axis, a vector of regularly sampled input pixels is generated (based on 

3023 the ratio of the output and input axis shapes). So this just means the 

3024 pixels get replicated (by whatever interpolation scheme you use) rather 

3025 than regridded in world coordinate space. This process is much faster, 

3026 but its not a true world coordinate based regrid. 

3027  

3028 As decribed above, when {stfaf replicate} is False, a coordinate is 

3029 computed for each output pixel; this is an expensive operation. The 

3030 argument {stfaf decimate} allows you to decimate the computation of 

3031 that coordinate grid to a sparse grid, which is then filled in via 

3032 fast interpolation. The default for {stfaf decimate} is 0 (no 

3033 decimation). The number of pixels per axis in the sparse grid is the 

3034 number of output pixels for that axis divided by the decimation 

3035 factor. A factor of 10 does pretty well. You may find that for very 

3036 non-linear coordinate systems (e.g. very close to the pole) that you 

3037 have to reduce the decimation factor. 

3038  

3039 The output pixelmask will be good (T) unless the regridding failed to 

3040 find a value for that output pixel in which case it will be bad (F). 

3041 For example, if the total input mask (default input pixelmask plus OTF 

3042 mask) for all of the relevant input pixels were masked bad 

3043 then the output pixel would be masked bad (F). 

3044 """ 

3045 return _wrap_image(swig_object=self._swigobj.rotate(outfile, shape, pa, region, mask, method, decimate, replicate, dropdeg, overwrite, stretch)) 

3046 

3047 def rotatebeam(self, angle=[ ]): 

3048 """This method rotates the attached image's beam(s) counterclockwise through the specified angle. 

3049 This is the same thing as increasing the position angle(s) of the beam(s) by the specified angle. 

3050 If the image does not have a beam, no changes to the image are made. If the image has multiple 

3051 beams, all the beams are rotated through the same angle. 

3052 """ 

3053 return self._swigobj.rotatebeam(angle) 

3054 

3055 def rename(self, name, overwrite=False): 

3056 """This function renames the imagefile associated with the imagetool. 

3057 If a file with name {stfaf name} already exists, you can overwrite it 

3058 with the argument {stfaf overwrite}; otherwise a fail will 

3059 result. 

3060 """ 

3061 return self._swigobj.rename(name, overwrite) 

3062 

3063 def replacemaskedpixels(self, pixels=[ ], region={ }, mask='', update=False, list=False, stretch=False): 

3064 """This application replaces the values of all pixels whose total input mask 

3065 (default input pixelmask and OTF mask) is bad (F) with the specified 

3066 value. It supports both float valued and compplex valued images. 

3067  

3068 If the argument {stfaf update} is F (the default), the actual pixelmask 

3069 is left unchanged. That is, masked pixels remain masked. However, if 

3070 you set {stfaf update=T} then the pixelmask will be updated so that the 

3071 pixelmask will now be T (good) where the {bf total} input mask was F 

3072 (bad). 

3073  

3074 See maskhandler for information 

3075 on how to set the default pixelmask. 

3076  

3077 There are a few ways in which you can specify what to replace the 

3078 masked pixel values by. 

3079  

3080 begin{itemize} 

3081  

3082 item First, you can give the {stfaf pixels} argument a simple numeric 

3083 scalar (e.g. {cf pixels=1.0}). Then, all masked values will be 

3084 replaced by that value. 

3085  

3086 item Second, you can give a scalar 

3087 htmladdnormallink{LEL}{../../notes/223/223.html} expression string 

3088 (e.g. {cf pixels='min(myimage)'}). Then, all masked values will be 

3089 replaced by the scalar that results from the expression. If the scalar expression 

3090 is illegal (e.g. in the expression {cf pixels='min(myimage)'} there 

3091 were no good pixels in {sff myimage}) then the value 0 is used for 

3092 replacement. 

3093  

3094 item Third, you can give a 

3095 htmladdnormallink{LEL}{../../notes/223/223.html} expression string 

3096 which has the same shape as the imagefile you are applying the 

3097 function to. For example, putting {cf pixels='myotherimage'} means 

3098 replace all masked pixels in this imagefile with the equivalent pixel 

3099 in the imagefile called {sff myotherimage}. 

3100  

3101 Your expression might be quite complex, and you can think of it as 

3102 producing another masked lattice. However, in the replace process, the 

3103 mask of that expression lattice is ignored. Thus, only the mask of 

3104 the imagefile you are replacing and the pixel values of the expression 

3105 lattice are relevant. 

3106  

3107 The expression must conform with the subimage formed by applying the 

3108 region to the image (i.e. that associated with this Image tool). If 

3109 you use the {stfaf mask} argument as well, the region is applied to 

3110 it as well (see examples). 

3111  

3112 end{itemize} 

3113 """ 

3114 return self._swigobj.replacemaskedpixels(pixels, region, mask, update, list, stretch) 

3115 

3116 def beamarea(self, channel=int(-1), polarization=int(-1)): 

3117 """Get the area of the image's restoring beam. If a non-negative channel and non-negative polarization 

3118 are specified, the area for the beam associated with that channel and polarization will be 

3119 returned. The return value will be a dictionary containing the keys 'arcsec2' and 'pixels', and 

3120 the associated values will be the beam area in arcsec2 and in pixels, respectively. If both 

3121 channel and polarization are set to negative values, then a dictionary with the same keys will 

3122 be returned, and the values will be either scalars (if the image has a single traditional 

3123 beam) or arrays if the image has multiple beams. In the latter case, the arrays will have 

3124 shapes indicative of the number of channels and number of polarizations. If the image has 

3125 a spectral axis but not a polarization axis, the returned arrays will be one dimensional and 

3126 have a length equal to the number of channels. Similarly, if the image has a polarization 

3127 axis but not a spectral axis, the arrays will be one dimensional and have a lenghts equal 

3128 to the number of polarizations. If the image has both a spectral and polarization axis, 

3129 the returned arrays will be two dimensional with shape (m, n) where m is the length 

3130 of the first channel or polarization axis, and n is the length of the second channel or 

3131 polarization axis. So, if an image has shape [200, 200, 10, 4] with 10 channels and 

3132 4 stokes, the returned arrays will have shapes of (10, 4) representing the spectral 

3133 axis as the first axis and the polarization axis as the second. If, instead, the image 

3134 shape is [200, 200, 4, 10] again with 10 channels and 4 stokes, the shape of the 

3135 returned arrays will be (4, 10) since the polarization axis precedes the spectral 

3136 axis. 

3137  

3138 """ 

3139 return self._swigobj.beamarea(channel, polarization) 

3140 

3141 def restoringbeam(self, channel=int(-1), polarization=int(-1), mbret='list'): 

3142 """This function returns the restoring beam(s), if any, of the attached image. 

3143  

3144 If mbret="matrix" (or "m"), an exception will be thrown if the attached image 

3145 does not have per-plane beams, or if channel or polarization is specified to be 

3146 non-negative. See below for more information on the mbret parameter. 

3147  

3148 If mbret="list" (or "l") and the attached image has no restoring beam(s), an 

3149 empty dictionary is returned. 

3150  

3151 If the image has a single traditional restoring beam and mbret="list", 

3152 the beam is returned as a dictionary no matter what channel and polarization 

3153 values are specified. This dictionary has keys "major", 

3154 "minor", andi "positionangle", and each of these fields 

3155 contains a dictionary with "value" and "unit" keys which 

3156 provide the quantity associated with each beam parameter. 

3157  

3158 If mbret="list", and if the image has per-plane beams, and the image 

3159 has both spectral and polarization axes, and if both channel and polarization 

3160 are set to non-negative values that are less than the number of planes along 

3161 each parameter's representative axis, the beam for that particular 

3162 channel/polarization pair is returned. If at least one of these values is set 

3163 to greater or equal to the number of planes along that parameter's 

3164 representative axis, and that axis exists and is not degenerate, then an 

3165 exception will be thrown. In the case of a non-extant axis or a degenerate axis, 

3166 the parameter associated with that axis can be set to any value and a beam will 

3167 be returned, because in that case there is exactly one beam for each plane 

3168 along the other parameter's representative axis, and so there is no ambiguity 

3169 regarding which beam to return. In the case where both spectral and polarization 

3170 axes exist and are not degenerate, an exception will be thrown if one of channel 

3171 or polarization is set to a non-negative value and the other is set to a 

3172 negative value. In the above cases in which a beam is returned, the returned 

3173 dictionary will have the same structure as that previously described in the 

3174 single beam case. 

3175  

3176 If the image contains multiple beams and both channel and polarization are 

3177 specified to be negative, the structure of the returned dictionary depends on 

3178 the specified value of mbret. Supported values of this parameter are 

3179 "list" and "matrix" (case insensitive, mimimum match 

3180 supported). In both cases, the returned dictionary will contain the keys 

3181 "nChannels", which contains an integer value equal to the number of 

3182 channels, and "nStokes", which contains an integer value equal to the 

3183 number of polarizations. In the case where one axis doesn't exist, the 

3184 associated value will be 1. 

3185  

3186 In the case of mbret="list", the returned dictionary will contain the 

3187 key "beams", which contains a sub-dictionary of information for all 

3188 beams. This subdictionary contains keys "*0" through 

3189 "*(c-1)", where c is the value associated with the 

3190 "nChannels" key. Each of these keys has an associated value which is a 

3191 subdictionary containing keys "*0" through "*(p-1)", where p 

3192 is the value associated associated with the "nStokes" key. Each 

3193 of these keys has an assciated value of a beam dictionary, the structure of 

3194 which is the same as described previously for a single beam image, which is 

3195 associated with that particular channel/polarization pair. 

3196  

3197 In the case of mbret="matrix", the returned dictionary will have keys 

3198 "major", "minor", and "pa" which hold values 

3199 representing the major axes, the minor axes, and the position angle, 

3200 respectively, of all beams. Each of these fields contains a dictionary which 

3201 represents a quantity with keys "unit" and "value". The 

3202 "unit" field contains a string representing the unit of the 

3203 associated value. The "value" field contains a matrix with values 

3204 corresponding to the associated parameter for the associated beam. In the case 

3205 where an image does not have both a spectral and polarization axis, these 

3206 matrices will have shape (n, 1), where n is the number of planes on the extant 

3207 axis. In the case where an image has both spectral and polarization axes, the 

3208 matrices will have shape (m, n) where m is the number of channels if the 

3209 spectral axis precedes the polarization axis, or the number of polarization 

3210 planes otherwise, and n is the number of planes on the axis not represented by 

3211 m. So, an image with a spectral axis that has 5 channels and precedes the 

3212 polarization axis that has 4 planes, the returned matrix shape will be (5, 4). 

3213 In the case where the number of spectral and polarization planes are the same 

3214 as in the previous example, but the polarization axis precedes the spectral 

3215 axis, the matrix shape will be (4, 5). Thus, the matrix shape pair follows the 

3216 order of the image spectral and polarization axes. This mode is useful for 

3217 returning to the python UI the major axes, minor axes, and position angles 

3218 directly as numpy arrays. 

3219  

3220 The restoring beam(s) of an image may be set with image tool method 

3221 setrestoringbeam. 

3222 """ 

3223 return self._swigobj.restoringbeam(channel, polarization, mbret) 

3224 

3225 def sepconvolve(self, outfile='', axes=[ int(-1) ], types=[ '' ], widths=[ ], scale=float(-1), region={ }, mask='', overwrite=False, stretch=False): 

3226 """This function does Fourier-based 

3227 convolution of an imagefile by a specified separable kernel. 

3228  

3229 If {stfaf outfile} is given, the image is written to the specified 

3230 disk file. If {stfaf outfile} is unset, the on-the-fly Image tool 

3231 returned by this function is associated with a temporary image. This 

3232 temporary image may be in memory or on disk, depending on its size. 

3233 When you destroy the Image tool (with the done function) this 

3234 temporary image is deleted. 

3235  

3236 You specify which axes of the image you wish to convolve, by what kernel 

3237 of what width. The kernel types can be shortened to {cf 'gauss', 

3238 'hann'} and {cf 'box'}. 

3239  

3240 You specify the widths of the convolution kernels via the argument 

3241 {stfaf widths}. The values can be specified as a vector of three 

3242 different types. 

3243  

3244 begin{itemize} 

3245  

3246 item Quantity - for example {stfaf widths=qa.quantity("1arcsec 0.00001rad")}. 

3247 Note that you can use pixel units, viz. {stfaf widths=qa.quantity("10pix 0.00001rad")} 

3248 see below. 

3249  

3250 item String - for example {stfaf widths="1km 2arcsec"} (i.e. a string that 

3251 qa.quantity() accepts). 

3252  

3253  

3254  

3255 item Numeric - for example {stfaf widths=[10,20]}. In this case, 

3256 the units of the widths are assumed to be in pixels. 

3257  

3258 end{itemize} 

3259  

3260 The interpretation of {stfaf widths} depends upon the kernel type. 

3261  

3262 begin{itemize} 

3263  

3264 item Gaussian - the specified width is the full-width at 

3265 half-maximum. 

3266  

3267 item Boxcar (tophat) - the specified width is 

3268 the full width. 

3269  

3270 item Hanning - The kernel is $z[i] = 0.25*y[i-1] + 0.5*y[i] + 

3271 0.25*y[i+1]$. The width is always 3 pixels, regardless of what 

3272 you give (but you still have to give it !). 

3273  

3274 end{itemize} 

3275  

3276 The scaling of the output image is determined by the argument {stfaf scale}. 

3277 If you leave it unset, then autoscaling will be invoked which means that 

3278 the convolution kernels will all be normalized to have unit volume 

3279 to as to conserve flux. 

3280  

3281 If you do not leave {stfaf scale} unset, then the convolution kernel 

3282 will be scaled by this value (it has peak unity before application 

3283 of this scale factor). 

3284  

3285 Masked pixels will be assigned the value 0.0 before convolution. 

3286 The output mask is the combination (logical OR) of the default input 

3287 pixelmask (if any) and the OTF mask. Any other input pixelmasks 

3288 will not be copied. Use function 

3289 maskhandler if you need to copy other 

3290 masks too. 

3291  

3292 See also the other convolution functions 

3293 convolve2d, 

3294 convolve and 

3295 hanning. 

3296 """ 

3297 return _wrap_image(swig_object=self._swigobj.sepconvolve(outfile, axes, types, widths, scale, region, mask, overwrite, stretch)) 

3298 

3299 def set(self, pixels=[ ], pixelmask=int(-1), region={ }, list=False): 

3300 """This function replaces data and/or mask values within the image in the 

3301 specified region. You can think of it as a simplified version of the 

3302 image calculator. 

3303  

3304 Unlike the calc function, you can 

3305 only set a scalar value for all pixels in the specified region. For 

3306 example, it can be useful to set a whole image to one value, or a mask 

3307 in a region to one value. Although you could do that with the related 

3308 functions putregion and 

3309 putchunk, you would have to make an 

3310 array of the shape of the image and if that is large, it could be 

3311 resource expensive. 

3312  

3313 The value for the pixels is specified with the {stfaf pixels} argument. It can 

3314 be given as either a Lattice Expression Language (or LEL) expression 

3315 string or a simple numeric scalar. See htmladdnormallink{note 

3316 223}{../../notes/223/223.html} for a detailed description of the LEL 

3317 expression syntax. If you give a LEL expression it must be a scalar 

3318 expression. 

3319  

3320 Note that any default mask is {em ignored} by this function when you 

3321 set pixel values. This is different from 

3322 calc where the extant mask is 

3323 honoured. 

3324  

3325 The value for the pixel mask is specified with the {stfaf pixelmask} 

3326 argument ({cf T, F, unset}). If it's {cf unset} then the mask is not 

3327 changed. 

3328  

3329 If you specify {stfaf pixelmask=} T or F, then the mask that is affected is 

3330 the current default mask (see 

3331 maskhandler). If there is no mask, a 

3332 mask is created for you and made the default mask. 

3333 """ 

3334 return self._swigobj.set(pixels, pixelmask, region, list) 

3335 

3336 def setbrightnessunit(self, unit): 

3337 """This function sets the image brightness unit. Both float and complex 

3338 valued images are supported. 

3339 You can get the brightness unit with function 

3340 brightnessunit. 

3341 """ 

3342 return self._swigobj.setbrightnessunit(unit) 

3343 

3344 def setcoordsys(self, csys): 

3345 """This method replaces the coordinate system in the image. Coordinate systems are 

3346 manipulated with the cs (coordintate system) tool. The coordinate system can be 

3347 recovered from an image via the coordsys() method of the image analysis (ia) 

3348 tool. 

3349  

3350 Note that changing the coordinate system using the cs tool has no effect on the 

3351 original image, until it is replaced with this method; the value returned 

3352 by coordsys() is a copy of, not a reference to, the image's coordinate system. 

3353 """ 

3354 return self._swigobj.setcoordsys(csys) 

3355 

3356 def sethistory(self, origin='', history=[ ]): 

3357 """A casa imagefile can accumulate history information 

3358 from an input fits file or by you writing something into 

3359 it explicitly with this function. Each element of 

3360 the input vector is one line of history. The new 

3361 history is appended to the old. 

3362  

3363  

3364 You can recover the history information with function 

3365 history. 

3366 """ 

3367 return self._swigobj.sethistory(origin, history) 

3368 

3369 def setmiscinfo(self, info): 

3370 """A CASA image can include user-specified or miscellaneous metadata. This metadata 

3371 is stored in a data structure referred to as a miscinfo record. For example, the 

3372 FITS reader ia.fromfits() puts header keywords it doesn't otherwise use into 

3373 such a record. The miscinfo record is not required to be populated, though. 

3374  

3375 This method sets the miscinfo record of an image. Note that this method will 

3376 overwrite, not add to, an existing miscinfo record. Thus if the user wishes 

3377 to augment an existing record, they must first capture the existing record using 

3378 the ia.miscinfo() method, modify the captured record, and then replace the 

3379 record in the image using setmiscinfo() by passing it the modified record. The 

3380 FITS writer will attempt to write all the fields in the miscinfo record to the 

3381 FITS file it creates. It can do so for scalars and 1-dimensional arrays. Records 

3382 will be omitted, and multi-dimensional arrays will be flattened into 

3383 one dimensional arrays. 

3384 """ 

3385 return self._swigobj.setmiscinfo(info) 

3386 

3387 def shape(self): 

3388 """The shape of an image is a vector holding the length of each axis of 

3389 the image. Although this information is also available in the summary function, it is 

3390 so useful that it can be obtained directly. Both Float and Complex valued 

3391 images are supported. 

3392 """ 

3393 return self._swigobj.shape() 

3394 

3395 def setrestoringbeam(self, major=[ ], minor=[ ], pa='Not specified', beam={ }, remove=False, log=True, channel=int(-1), polarization=int(-1), imagename=''): 

3396 """This method sets the restoring beam(s) for an image or removes an existing beam(s). 

3397  

3398 An image must have exactly one of the following states: 

3399  

3400 1. An image can have a single "traditional" or global beam. In that case, the 

3401 beam applies to every channel and polarization in the image. 

3402  

3403 2. If an image has more than one spectral channel or more than one polarization, 

3404 it can have a set of beams. In this case, each channel and/or polarization will 

3405 have its own beam. 

3406  

3407 3. An image can have neither a global beam nor a beam set. 

3408  

3409 It is never permissible for an image to have both a traditional (global) beam 

3410 and a set of per-plane beams. Task and method behavior is undefined in that case 

3411 and any resulting products are considered corrupt. 

3412  

3413 RULES FOR BEAM MODIFICATION 

3414  

3415 1. If remove=true, any existing beam(s) are removed. 

3416  

3417 2. Else if imagename is specified, the beam(s) from the specified image will 

3418 be copied to the image being accessed by the image tool. Multiple beams 

3419 may be copied, but the two images must have the same number of frequency 

3420 channels and polarization planes. If not, an exception is thrown. 

3421  

3422 3. Else if the beam parameter is specified, it will be used. It must be fully 

3423 specified. It must have exactly three items with keys "major", 

3424 "minor", and "positionangle". Each of these keys 

3425 must be a proper quantity dictionary with keys "value" and 

3426 "unit". The units for all three items should be angular. The 

3427 "major" and "minor" items must have non-negative values. 

3428 If any of these conditions is not met, an exception will be thrown. 

3429  

3430 4. Else the "major", "minor", and "pa" 

3431 parameters must be specified. Any or all of these may be a quantity string 

3432 (eg, "2arcsec", a quantity dictionary with keys "value" 

3433 and "unit". or a numerical value. "major" and 

3434 "minor" must have non-negative values. If any of these conditions 

3435 is not met, an exception will be thrown. In the case of a quantity 

3436 being specified the "unit" should be an angular unit or no unit. 

3437 In the case of no unit or a numerical value specified, if the image already 

3438 has a beam then the corresponding unit for that parameter in the current beam 

3439 will be used. If the image has no beam, then "arcsec" is used for 

3440 "major" and "minor", and "deg" is used for 

3441 "pa". 

3442  

3443 If an image has no beams, a traditional (global) beam can be added by setting 

3444 both channel and polarization to negative values. 

3445  

3446 If an image has no beams, a set of per-plane beams can be added by setting 

3447 either or both channel and/or polarization to a non-negative value. In this 

3448 case, a number of per-plane beams are added consistent with the image and they 

3449 are all set to be the same with parameters equal to those specified by either 

3450 the beam or major/minor/pa parameters. 

3451  

3452 If an image has a traditional beam, it can be modified by setting both channel 

3453 and polarization to negative values. If one or both is not set to a negative 

3454 value, an exception is thrown, and nothing is modified. 

3455  

3456 If an image has a set of per plane beams, one at a time of these can be modified 

3457 by setting the appropriate channel number and/or polarization number. All the 

3458 per-plane beams can be modified to the same values in one go by setting both 

3459 channel and polarization to negative values. Also, in the case where an image 

3460 has multiple channels, the beams associated with all channels for a given 

3461 polarization can be modified to the same beam by setting polarization equal to 

3462 the desired polarization plane number and by setting channel to a negative 

3463 value. Similarly, in the case where an image has multiple polarizations, the 

3464 beams associated with all polarizations for a given spectral channel can be 

3465 modified to the same beam by setting channel equal to the desired spectral 

3466 channel number and by setting polarization to a negative value. 

3467 """ 

3468 return self._swigobj.setrestoringbeam(major, minor, pa, beam, remove, log, channel, polarization, imagename) 

3469 

3470 def statistics(self, axes=[ int(-1) ], region='', mask='', includepix=[ float(-1) ], excludepix=[ float(-1) ], list=False, force=False, disk=False, robust=False, verbose=False, stretch=False, logfile='', append=True, algorithm='classic', fence=float(-1), center='mean', lside=True, zscore=float(-1), maxiter=int(-1), clmethod='auto', niter=int(3)): 

3471 """This method computes statistics from the pixel values in the image. You can 

3472 then list them and retrieve them (into a record) for further analysis. This 

3473 method supports only real valued images. 

3474  

3475 The names of the fields in the returned record are summarized below: 

3476  

3477 - npts: the number of unmasked points used 

3478  

3479 - sum: the sum of the pixel values: $sum I_i$ 

3480  

3481 - flux: flux or flux density, see below for details 

3482  

3483 - sumsq: the sum of the squares of the pixel values: $sum I_i^2$ 

3484  

3485 - mean: the mean of pixel values: $bar{I} = sum I_i / n$ 

3486  

3487 - sigma: the standard deviation about the 

3488 mean: $sigma^2 = (sum I_i - bar{I})^2 / (n-1)$ 

3489  

3490 - rms: the root mean square: $sqrt {sum I_i^2 / n}$ 

3491  

3492 - min: minimum pixel value 

3493  

3494 - max: the maximum pixel value 

3495  

3496 - median: the median pixel value (if {stfaf robust=T}) 

3497  

3498 - medabsdevmed: the median of the absolute deviations from the median 

3499 (if {stfaf robust=T}) 

3500  

3501 - quartile: the inter-quartile range (if {stfaf 

3502 robust=T}). Find the points which are 25% largest and 75% largest 

3503 (the median is 50% largest). 

3504  

3505 - q1: The first quartile. Reported only if robust=T. 

3506  

3507 - q3: The third quartile. Reported only if robust=T. 

3508  

3509 - blc: the absolute pixel coordinate of the bottom left 

3510 corner of the bounding box of the region of interest. If 'region' is 

3511 unset, this will be the bottom left corner of the whole image. 

3512  

3513 - blcf: the formatted absolute world coordinate of the bottom left corner of the bounding box of the region of interest. 

3514  

3515 - trc: the absolute pixel coordinate of the top right corner of the bounding box of the region of interest. 

3516  

3517 - trcf: the formatted absolute world coordinate of the top right corner of the bounding box of the region of interest. 

3518  

3519 - minpos: absolute pixel coordinate of minimum pixel value 

3520  

3521 - maxpos: absolute pixel coordinate of maximum pixel value 

3522  

3523 - minposf: formatted string of the world coordinate of 

3524 the minimum pixel value 

3525  

3526 - maxposf: formatted string of the world coordinate of 

3527 the maximum pixel value 

3528  

3529  

3530 The last four fields only appear if you evaluate the statistics over all 

3531 axes in the image. As an example, if the returned record is captured in 

3532 {stfaf 'mystats'}, then you could access the 'mean' field via 

3533 {cf print mystats['mean']}. 

3534  

3535 If there are no good points (e.g. all pixels are masked bad in the 

3536 region), then the length of these fields will be 0 (e.g. {cf 

3537 len(mystats['npts'])==0}). 

3538  

3539 You have no control over which statistics are listed to the logger, 

3540 you always get the same selection. You can choose to list the 

3541 statistics or not (argument {stfaf list}). 

3542  

3543 As well as the simple (and faster to calculate) statistics like means 

3544 and sums, you can also compute some robust (quantile-like) statistics. Currently 

3545 these are the median, median absolute deviations from the median, 

3546 the first and third quartiles, and the inner-quartile range. Because these are computationally 

3547 expensive, they are only computed if robust=True. 

3548  

3549 Note that if the axes are set to all of the axes in the image (which is 

3550 the default) there is just one value per statistic. 

3551  

3552 You have control over which pixels are included in the statistics computations 

3553 via the {stfaf includepix} and {stfaf excludepix} arguments. These vectors 

3554 specify a range of pixel values for which pixels are either included or 

3555 excluded. They are mutually exclusive; you can specify one or the 

3556 other, but not both. If you only give one value for either of these, 

3557 say {stfaf includepix=b}, then this is interpreted as {stfaf 

3558 includepix=[-abs(b),abs(b)]}. 

3559  

3560 This function generates a 'storage' lattice, into which the statistics 

3561 are written as a means to improve performance on successive identical runs. 

3562 After the initial execution of this method, it is only regenerated as 

3563 necessary. For example, if you run the method twice with 

3564 identical arguments, the statistics will be directly retrieved from the 

3565 storage lattice the second time, and the statistics will not be recomputed. 

3566 However, you can force regeneration of the statistics if you set force=True. 

3567 VERY IMPORTANT NOTE. If you have an open image tool on which you've run 

3568 statistics(), and 

3569 change the pixel values of the opened image via another tool or a task, the 

3570 opened image tool has no knowledge that pixel values have been changed, and 

3571 so if you run ia.statistics() again with that tool, you will very likely 

3572 get incorrect results since they come from the statistics stored from a previous 

3573 run. First of all, it is highly discouraged that you do anything like this. 

3574 Tools maintain state that only they know about internally; if you change 

3575 an image that is already opened with another image tool or task, the general 

3576 outcome will be undefined when you run methods on the already opened tool. 

3577 However, if for some reason you must do this, 

3578 first consider changing your algorithm because there should be no reason 

3579 to have to do this. But, if you decide to continue down that path that will 

3580 likely lead you over the edge of a cliff, then you can set force=True to 

3581 ensure statistics are always recomputed. 

3582  

3583 The storage medium is either in memory or on disk, 

3584 depending upon its size. You can force it to disk if you set {stfaf 

3585 disk=T}, otherwise it decides for itself. 

3586  

3587 CURSOR AXES 

3588 The axes parameter allows one to set the cursor axes over which statistics 

3589 are computed. For example, consider a 3-dimensional image for which axes=[0,2]. 

3590 The statistics would be computed for each XZ (axes 0 and 2) plane in the 

3591 image. One could then examine those statistics as a function of the Y 

3592 (axis 1) axis. 

3593  

3594 Each statistic is stored in an array in its own field in the returned dictionary. 

3595 The dimensionality of these arrays is equal to the number of axes over which the 

3596 statistics were not evaluated (called the display axes). For example, if the input 

3597 image has four axes, and axes=[0], the output statistic arrays will have three dimensions. 

3598 If axes=[0, 1], the output statistic arrays will have two dimensions. 

3599  

3600 The shape of the output arrays when axes has a positive number of elements is based on 

3601 the region selection. If there is no region selection, the shape of the statistic arrays 

3602 is just the shape of the image along the display (non-cursor) axes. For example, if the 

3603 input image has dimensions of 300x400x4x80 and axes=[0, 1], in the absence of a region 

3604 selection, the shape of the output statistic arrays will be 4x80. If there is a region 

3605 selection, the shape of the output statistic arrays will be determined by the number of 

3606 planes along the display axes chosen in the region selection. For example, continuing with 

3607 our example, if axes=[0,1] and region=rg.box([0, 0, 1, 20], [299,399, 2, 60]), the output 

3608 statistic arrays will have shapes of 2x41. Only the selected planes will be displayed in the 

3609 logger output if verbose=True. 

3610  

3611 In the case where the image has a pixel mask, and/or the mask parameter is specified, and because 

3612 of this specification a plane is entirely masked, this element is included in the statistic arrays 

3613 (usually with a value of 0). It is not included in the logger output if verbose=True. One can 

3614 exclude such elements from computations on the output arrays by using the numpy.extract() method. 

3615 For example, to compute the minimum rms value, not including any fully masked planes, one could 

3616 use 

3617  

3618 stats = ia.statistics(...) 

3619 rmsmin = numpy.min(numpy.extract(stats['npts']>0, stats['rms'])) 

3620  

3621 Thus in the computation of rmsmin, only the rms elements are considered which have 

3622 associated values of npts that are not zero. 

3623  

3624 ALGORITHMS 

3625  

3626 Several types of statistical algorithms are supported: 

3627  

3628 - classic: This is the familiar algorithm, in which all unmasked pixels, subject to any 

3629 specified pixel ranges, are used. One may choose one of two methods, which vary only by 

3630 performance, for computing classic statistics, via the clmethod parameter. The "tiled" 

3631 method is the old method and is fastest in cases where there are a large number of 

3632 individual sets of statistics to be computed and a small number of data points per set. 

3633 This can occur when one sets the axes parameter, which causes several individual sets of 

3634 statistics to be computed. The "framework" method uses the new statistics framework to 

3635 compute statistics. This method is fastest in the regime where one has a small number of 

3636 individual sets of statistics to calculate, and each set has a large number of points. 

3637 For example, this method is fastest when computing statistics over an entire image in one 

3638 go (no axes specified). A third option, "auto", chooses which method to use by predicting 

3639 which be faster based on the number of pixels in the image and the choice of the axes 

3640 parameter. 

3641  

3642 - fit-half: This algorithm calculates statistics on a dataset created from real and virtual pixel values. 

3643 The real values are determined by the input parameters center and lside. The parameter center 

3644 tells the algorithm where the center value of the combined real+virtual dataset should be. Options 

3645 are the mean or the median of the input image's pixel values, or at zero. The lside parameter tells 

3646 the algorithm on which side of this center the real pixel values are located. True indicates that 

3647 the real pixel values to be used are <= center. False indicates the real pixel values to be used 

3648 are >= center. The virtual part of the dataset is then created by reflecting all the real values 

3649 through the center value, to create a perfectly symmetric dataset composed of a real and a virtual 

3650 component. Statistics are then calculated on this resultant dataset. These two parameters are 

3651 ignored if algorithm is not "fit-half". Because the maximum value is virtual if lside is True and the 

3652 minimum value is virtual if lside is False, the value of the maximum position (if lside=True) or 

3653 minimum position (if lside=False) is not reported in the returned record. 

3654  

3655 - hinges-fences: This algorithm calculates statistics by including data in a range 

3656 between Q1 - f*D and Q3 + f*D, inclusive, where Q1 is the first quartile of the distribution 

3657 of unmasked data, subject to any specified pixel ranges, Q3 is the third quartile, D = Q3 - Q1 

3658 (the inner quartile range), and f is the user-specified fence factor. Negative values of f 

3659 indicate that the full distribution is to be used (ie, the classic algorithm is used). Sufficiently 

3660 large values of f will also be equivalent to using the classic algorithm. For f = 0, only data 

3661 in the inner quartile range is used for computing statistics. The value of fence is silently 

3662 ignored if algortihm is not "hinges-fences". 

3663  

3664 - chauvenet: The idea behind this algorithm is to eliminate outliers based on a maximum z-score value. 

3665 A z-score is the number of standard deviations a point is from the mean of a distribution. This 

3666 method thus is meant to be used for (nearly) normal distributions. In general, this is an iterative 

3667 process, with successive iterations discarding additional outliers as the remaining points become 

3668 closer to forming a normal distribution. Iterating stops when no additional points lie beyond the 

3669 specified zscore value, or, if zscore is negative, when Chauvenet's criterion is met (see below). 

3670 The parameter maxiter can be set to a non-negative value to prematurely abort this iterative 

3671 process. When verbose=True, the "N iter" column in the table that is logged represents the number 

3672 of iterations that were executed. 

3673  

3674 Chauvenet's criterion allows the target z-score to decrease as the number of points in the 

3675 distribution decreases on subsequent iterations. Essentially, the criterion is that the probability 

3676 of having one point in a normal distribution at a maximum z-score of z_max must be at least 0.5. 

3677 z_max is therefore a function of (only) the number of points in the distrbution and is given by 

3678  

3679 npts = 0.5/erfc(z_max/sqrt(2)) 

3680  

3681 where erfc() is the complementary error function. As iterating proceeds, the number of remaining 

3682 points decreases as outliers are discarded, and so z_max likewise decreases. Convergence occurs when 

3683 all remaining points fall within a z-score of z_max. Below is an illustrative table of z_max values 

3684 and their corresponding npts values. For example, it is likely that there will be a 5-sigma "noise 

3685 bump" in a perfectly noisy image with one million independent elements. 

3686  

3687 z_max npts 

3688 1.0 1 

3689 1.5 3 

3690 2.0 10 

3691 2.5 40 

3692 3.0 185 

3693 3.5 1,074 

3694 4.0 7,893 

3695 4.5 73,579 

3696 5.0 872,138 

3697 5.5 13,165,126 

3698 6.0 253,398,672 

3699 6.5 6,225,098,696 

3700 7.0 195,341,107,722 

3701  

3702 - biweight: The biweight algorithm is a robust iterative algorithm that computes two 

3703 quantities called the "location" and the "scale", which are analogous to the mean 

3704 and the standard deviation. In this case, the only keys present in the returned 

3705 dictionary are 'mean' (location), 'sigma' (scale), 'npts', 'min', and 'max'. The 

3706 last three represent the values using the entire distribution. Note that the 

3707 biweight algorithm does not support computation of quantile-like values (median, 

3708 madm, q1, q3, and iqr), so setting robust=True will cause a warning message to 

3709 be logged regarding that, and the computation will proceed. 

3710  

3711 Important equations for the biweight algorithm are 

3712  

3713 A. How to compute u_i values, which are related to the weights w_i = (1 - u_i*u_i), 

3714 using the 

3715 equation 

3716  

3717 ``u_i = (x_i - c_bi)/(6.0*s_bi) (1)`` 

3718  

3719 where x_i are the data values, c_bi is the biweight location and s_bi is the 

3720 biweight scale. For the initial computation of the u_i values, c_bi is set 

3721 equal to the median of the distribution and s_bi is set equal to 

3722 the normalized median of the absolute deviation about the median (that is the 

3723 median of the absolute deviation about the median multiplied by the value of 

3724 the probit function at 0.75). 

3725  

3726 B. The location, c_bi, is computed from 

3727  

3728 ``c_bi = sum(x_i * w_i^2)/sum(w_i^2) (2)`` 

3729  

3730 where only values of u_i which satisfy abs(u_i) < 1 (w_i > 0) are used in the sums. 

3731  

3732 C. The scale value is computed using:: 

3733  

3734 . n * sum((x_i - c_bi)^2 * w_i^4) 

3735 . s_bi^2 = _______________________________ (3) 

3736 . p * max(1, p - 1) 

3737  

3738 where n is the number of points for the entire distribution (which includes all 

3739 the data, even for which abs(u_i) >= 1) and p is given by:: 

3740  

3741 p = abs(sum((w_i) * (5*w_i - 4))) 

3742  

3743 Again, the sums include only data for which abs(u_i) < 1. 

3744  

3745 The algorithm proceeds as follows. 

3746 1. Compute initial u_i values (and hence w_i values) from equation (1), setting 

3747 c_bi equal to the median of the distribution and s_bi equal to the normalized 

3748 median of the absolute deviation about the median. 

3749 2. Compute the initial value of the scale using the w_i values computed in 

3750 step 1. using equation 3. 

3751 3. Recompute u_i/w_i values using the most recent previous scale and location 

3752 values. 

3753 4. Compute the location using the u_i.w_i values from step 3 and equation (2). 

3754 5. Recompute u_i/w_i values using the most recent previous scale and location 

3755 values. 

3756 6. Compute the new scale value using the the u_i/w_i values computed in 

3757 step 5 and the value of the location computed in step 4. 

3758 7. Steps 3. - 6. are repeated until convergence occurs or the maximum number of 

3759 iterations (specified in the niter parameter) is reached. The convergence 

3760 criterion is given by 

3761  

3762 abs(s_bi - s_bi,prev) < 0.03 * sqrt(0.5/(n - 1)) 

3763  

3764 where s_bi,prev is the value of the scale computed in the previous iteration. 

3765  

3766 In the special case where niter is specified to be negative, the faster, 

3767 non-iterative algorithm proceeds as follows: 

3768  

3769 1. Compute u_i/w_i values using the median for the location and the normalized 

3770 median of the absolute deviation about the median as the scale 

3771 2. Compute the location and scale (which can be carried out simultaneously) 

3772 using the u_i/w_i values computed in step 1. The value of the location is 

3773 just the median that is used in equation (3) to compute the scale 

3774  

3775 NOTES ON FLUX DENSITIES AND FLUXES 

3776  

3777 Fluxes and flux densities are not computed if any of the following conditions is met: 

3778  

3779 1. The image does not have a direction coordinate 

3780 2. The image does not have a intensity-like brightness unit. Examples of such units 

3781 are Jy/beam (in which case the image must also have a beam) and K. 

3782 3. There are no direction axes in the cursor axes that are used. 

3783 4. If the (specified region of the) image has a non-degenerate spectral axis, 

3784 and the image has a tablular spectral axis (axis with varying increments) 

3785 5. Any axis that is not a direction nor a spectral axis that is included in the cursor 

3786 axes is not degenerate within in the specified region 

3787  

3788 Note that condition 4 may be removed in the future. 

3789  

3790 In cases where none of the above conditions is met, the flux density(ies) (intensities 

3791 integrated over direction planes) will be computed if any of the following conditions 

3792 are met: 

3793  

3794 1. The image has no spectral coordinate 

3795 2. The cursor axes do not include the spectral axis 

3796 3. The spectral axis in the chosen region is degenerate 

3797  

3798 In the case where there is a nondegenerate spectral axis that is included in the cursor 

3799 axes, the flux (flux density integrated over spectral planes) will be computed. In this 

3800 case, the spectral portion of the flux unit will be the velocity unit of the spectral 

3801 coordinate if it has one (eg, if the brightness unit is Jy/beam and the velocity unit is 

3802 km/s, the flux will have units of Jy.km/s). If not, the spectral portion of the flux unit 

3803 will be the frequency unit of the spectral axis (eg, if the brightness unit is K and the 

3804 frequency unit is Hz, the resulting flux unit will be K.arcsec2.Hz). 

3805  

3806 In both cases of flux density or flux being computed, the resulting numerical value is 

3807 assigned to the "flux" key in the output dictionary. 

3808  

3809 If the image has units of Jy/beam, the flux density is just the mean intensity multiplied 

3810 by the number of beam areas included in the region. The beam area is defined as the volume 

3811 of the elliptical Gaussian defined by the synthesized beam, divided by the maximum of 

3812 that function, which is equivalent to 

3813  

3814 pi/(4*ln(2)) * major * minor 

3815  

3816 where ln() is the natural logarithm and major and minor are the major and minor FWHM axes 

3817 of the beam, respectively. 

3818 """ 

3819 return self._swigobj.statistics(axes, region, mask, includepix, excludepix, list, force, disk, robust, verbose, stretch, logfile, append, algorithm, fence, center, lside, zscore, maxiter, clmethod, niter) 

3820 

3821 def twopointcorrelation(self, outfile='', region={ }, mask='', axes=[ int(-1) ], method='structurefunction', overwrite=False, stretch=False): 

3822 """This function computes 

3823 two-point auto-correlation functions from an image. 

3824  

3825 By default, the auto-correlation function is computed for the Sky axes. 

3826 If there is no sky in the image, then the first two axes are used. 

3827 Otherwise you can specify which axes the auto-correlation function lags 

3828 are computed over with the {stfaf axes} argument (must be of length 2). 

3829  

3830 Presently, only the Structure Function is implemented. This is defined as : 

3831  

3832 begin{displaymath} 

3833 S(lx,ly) = < (data(i,j) - data(i+lx,j+ly))^2 > 

3834 end{displaymath} 

3835  

3836 where $lx, ly$ are integer lags in the x (0-axis) and y (1-axis) 

3837 directions. The ensemble average is over all the values at the same 

3838 lag pair. This process is extremely compute intensive and so you may 

3839 have to be patient. 

3840  

3841 In an auto-correlation function image there are some symmetries. The 

3842 first and third quadrants are symmetric, and the second and fourth are 

3843 symmetric. So in principle, all the information is in the top or bottom 

3844 half of the image. We just write it all out to look nice. The long 

3845 lags don't have a lot of contributing values of course. 

3846 """ 

3847 return self._swigobj.twopointcorrelation(outfile, region, mask, axes, method, overwrite, stretch) 

3848 

3849 def subimage(self, outfile='', region='', mask='', dropdeg=False, overwrite=False, list=True, stretch=False, wantreturn=True, keepaxes=[ ]): 

3850 """This function copies all or part of the image to another on-the-fly Image tool. 

3851 Both float and complex valued images are supported. 

3852  

3853 If {stfaf outfile} is given, the subimage is written to the specified 

3854 disk file. If {stfaf outfile} is unset, the returned Image tool actually 

3855 references the input image file (i.e. that associated with the Image 

3856 tool to which you are applying this function). So if you deleted the 

3857 input image disk file, it would render this tool useless. When you 

3858 destroy this tool (with the done function) 

3859 the reference connection is broken. 

3860  

3861 Sometimes it is useful to drop axes of length one (degenerate axes). 

3862 Use the {stfaf dropdeg} argument if you want to do this. Further control 

3863 is provided via the keepaxes parameter. If dropdeg=True, you may specify 

3864 a list of degenerate axes to keep in the keep axes parameter. This allows 

3865 you to drop only a subset of degenerate axes. This parameter is ignored if 

3866 dropdeg=False. If dropdeg=True, all degenerate axes are dropped if keepaxes 

3867 is set to an empty list (this is the default behavior). Nondegenerate 

3868 axes are implicitly kept, even if they are included in the keepaxes list. 

3869  

3870 The output mask is the combination (logical OR) of the default input 

3871 pixelmask (if any) and the OTF mask. Any other input pixelmasks 

3872 will not be copied. Use function maskhandler if you 

3873 need to copy other masks too. 

3874  

3875 If the mask has fewer dimensions than the image and if the shape 

3876 of the dimensions the mask and image have in common are the same, 

3877 the mask will automatically have the missing dimensions added so 

3878 it conforms to the image. 

3879  

3880 If stretch is true and if the number of mask dimensions is less than 

3881 or equal to the number of image dimensions and some axes in the 

3882 mask are degenerate while the corresponding axes in the image are not, 

3883 the mask will be stetched in the degenerate dimensions. For example, 

3884 if the input image has shape [100, 200, 10] and the input 

3885 mask has shape [100, 200, 1] and stretch is true, the mask will be 

3886 stretched along the third dimension to shape [100, 200, 10]. However if 

3887 the mask is shape [100, 200, 2], stretching is not possible and an 

3888 error will result. 

3889 """ 

3890 return _wrap_image(swig_object=self._swigobj.subimage(outfile, region, mask, dropdeg, overwrite, list, stretch, wantreturn, keepaxes)) 

3891 

3892 def summary(self, doppler='RADIO', list=True, pixelorder=True, verbose=False): 

3893 """This function summarizes various metadata such as shape, Coordinate System, 

3894 restoring beams, and masks. 

3895  

3896 If called without any arguments, this function displays a summary of the image 

3897 metadata to the logger; where appropriate, values will be formatted nicely (e.g. 

3898 HH:MM:SS.SS for the reference value of RA axes). 

3899  

3900 For spectral axes, the information is listed in both the velocity and frequency 

3901 domains. The doppler parameter allows one to specify what velocity doppler 

3902 convention it is listed in. Supported values are: "radio", "optical", and 

3903 "true". Alternative values are "z" for "optical", and "beta" or "relativistic" 

3904 for true. The default is "radio". The definitions are 

3905  

3906 begin{itemize} 

3907 item radio: $1 - F$ 

3908 item optical: $-1 + 1/F$ 

3909 item true: $(1 - F^2)/(1 + F^2)$ 

3910 end{itemize} 

3911 where $F = nu/nu_0$ and $nu_0$ is the rest frequency. If the rest frequency 

3912 has not been set in your image, you can set it via a coordinate system (cs) tool 

3913 using the setrestfrequency() method(). 

3914  

3915 The keys of the returned dictionary are 

3916  

3917 begin{itemize} 

3918 item ndim: Dimension of the image. 

3919 item shape: Length of each axis in the image. 

3920 item tileshape: Shape of the chunk which is most efficient for I/O. 

3921 item axisnames: Name of each axis. 

3922 item refpix: Reference pixel for each axis (0-relative) 

3923 item refval: Reference value for each axis. 

3924 item incr: Increment for each axis. 

3925 item axisunits: Unit name for each axis. 

3926 item unit: Brightness units for the pixels. 

3927 item hasmask: True if the image has a mask. 

3928 item defaultmask: The name of the mask which is applied by default. 

3929 item masks: The names of all the masks stored in this image. 

3930 item restoringbeam: The restoring beam(s) if present. 

3931 item imagetype: The image type. 

3932 end{itemize} 

3933  

3934 For an image with multiple beams, the restoringbeam field is a dictionary of 

3935 dictionaries with keys of names "*" followed by the channel number, if the image 

3936 has a spectral coordinate, or the polarization number if it does not. That is, 

3937 the keys have names "*0", "*1", "*2", etc. If the image has both a spectral and 

3938 a polarization coordinate, each of these dictionaries is a dictionary with keys 

3939 of the same form which range from 0 to the number of polarizations minus 1; 

3940 "*0", "*1", ... The dictionaries pointed to by the channel and/or polarization 

3941 number contain information for the beam at that position. 

3942  

3943 If the list parameter is set to False, then the summary will not be written to 

3944 the logger. The return value of the method, in the "header" field is a vector 

3945 string containing the formatted output that would have been logged in the 

3946 list=True case. 

3947  

3948 If verbose is True and the image contains multiple beams, the formatted output, 

3949 whether it is written to the logger or placed in the output record, will have 

3950 information on every beam in the dataset. If verbose=False and the image has 

3951 multiple beams, only a summary of beams for each polarization is listed. In this 

3952 case, the beams with the maximum area, the minimum area, and the median area for 

3953 each polarization are listed. However, all the beams can still be found in the 

3954 restoringbeam field of the returned dictionary. If the image does not have 

3955 multiple beams, verbose is not used. 

3956 """ 

3957 return self._swigobj.summary(doppler, list, pixelorder, verbose) 

3958 

3959 def tofits(self, outfile='', velocity=False, optical=True, bitpix=int(-32), minpix=float(1), maxpix=float(-1), region={ }, mask='', overwrite=False, dropdeg=False, deglast=False, dropstokes=False, stokeslast=True, wavelength=False, airwavelength=False, stretch=False, history=True): 

3960 """This function converts the image into a fits file. 

3961  

3962  

3963 If the image has a rest frequency associated with it, it will always 

3964 write velocity information into the fits file. By default the 

3965 frequency information will be primary as it is the internal native format. 

3966 If you select {stfaf velocity=T} then by default 

3967 the velocity is written in the optical convention, but if {stfaf 

3968 optical=F} it will use the radio convention instead. 

3969 Alternatively, if you use {stfaf velocity=F} and {stfaf wavelength=T}, 

3970 the spectral axis will be written in wavelength. 

3971  

3972 The fits definition demands equal increment pixels. Therefore, if you 

3973 write wavelength or optical velocity information as primary, the increment 

3974 is computed at the spectral reference pixel. 

3975 If the bandwidth is large, this may incur non-negligible coordinate 

3976 calculation errors far from the reference pixel if the spectral 

3977 bins are not originally equidistant in wavelength. 

3978 Images generated by the CASA clean task have spectral axes which 

3979 are always equidistant in frequency. 

3980  

3981 By default the image is written as a floating point fits file 

3982 ({stfaf bitpix= -32}). Under rare circumstances you might want to 

3983 save space and write it as scaled 16 bit integers ({stfaf bitpix = 

3984 16}). You can have {stff tofits} calculate the scaling factors by 

3985 using the default {stfaf minpix} and {stfaf maxpix}. If you set 

3986 {stfaf minpix} and {stfaf maxpix}, values outside of that range will 

3987 be truncated. This can be useful if all of the fits images dynamic 

3988 range is being used by a few high or low values and you are not 

3989 interested in preserving those values exactly. Besides the factor of 

3990 two space savings you get by using 16 instead of 32 bits, integer 

3991 images usually also compress well (for example, with the standard GNU 

3992 software facility {tt gzip}). 

3993  

3994 If the specified region extends beyond the image, it is truncated. 

3995  

3996 The output mask is the combination (logical OR) of the default input 

3997 pixelmask (if any) and the OTF mask. 

3998  

3999 Sometimes it is useful to drop axes of length one (degenerate axes) 

4000 because not all FITS readers can handle them. Use the {stfaf dropdeg} 

4001 argument if you want to do this. 

4002 If you want to specifically only drop a degenerate Stokes axis, use the {stfaf dropstokes} 

4003 argument. 

4004  

4005 If you want to place degenerate axes last in the FITS header, 

4006 use the {stfaf deglast} argument. 

4007 If you want to make sure that the Stokes axis is placed last in the FITS header, 

4008 use the {stfaf stokeslast} argument. 

4009 """ 

4010 return self._swigobj.tofits(outfile, velocity, optical, bitpix, minpix, maxpix, region, mask, overwrite, dropdeg, deglast, dropstokes, stokeslast, wavelength, airwavelength, stretch, history) 

4011 

4012 def torecord(self): 

4013 """You can convert an associated image to a record for manipulation or passing it 

4014 to inputs of other methods of other tools. This method and fromrecord() are used 

4015 for serialization and deserialization. 

4016 """ 

4017 return self._swigobj.torecord() 

4018 

4019 def type(self): 

4020 """This function returns the string 'image'. It can be used in 

4021 a script to make sure this variable is an Image 

4022 tool. 

4023 """ 

4024 return self._swigobj.type() 

4025 

4026 def topixel(self, value=[ ]): 

4027 """This method converts from world to pixel coordinates. The world coordinate can 

4028 be provided in many formats (numeric, string, quantum etc.) via the value 

4029 parameter. These match the output of the toworld() method. 

4030  

4031 This function is just a wrapper for the coordsys tool method of the same name, 

4032 so see that documentation for a description and more examples. 

4033 """ 

4034 return self._swigobj.topixel(value) 

4035 

4036 def toworld(self, value=[ ], format='n', dovelocity=True): 

4037 """This method converts between pixel and world coordinates. A variety of return 

4038 formats is supported. If format='n', numerical values are returned. 

4039 If format='q', values formatted as quantities are returned. If format='s', 

4040 values formatted as strings are returned. If format='m', values formatted as 

4041 measures are returned. If format='m', one can choose to have the corresponding 

4042 velcocites of an extant spectral coordinate computed as well by specifyting 

4043 dovelocity=True (dovelocity is ignored if format is not equal to 'm' or if the 

4044 image does not have a spectral coordinate). 

4045 """ 

4046 return self._swigobj.toworld(value, format, dovelocity) 

4047 

4048 def unlock(self): 

4049 """This function releases any lock set on the imagefile (and also flushes 

4050 any outstanding I/O to disk). It is not of general user interest. It 

4051 can be useful in scripts when a file is being shared between more than 

4052 one process. See also functions lock and 

4053 haslock. 

4054 """ 

4055 return self._swigobj.unlock() 

4056 

4057 def newimagefromarray(self, outfile='', pixels=[ ], csys={ }, linear=False, overwrite=False, log=True, type='f'): 

4058 """This application converts a numpy array of any size into a CASA image. 

4059  

4060 If outfile is specified, the image is written to the specified 

4061 (persistent) disk file. If outfile is unset, the returned image tool 

4062 is associated with a temporary image. This temporary image may be in 

4063 memory or on disk, depending on its size. In this case, when the 

4064 close() or done() method is called on the returned image tool, the 

4065 associated temporary image is deleted. 

4066  

4067 The type parameter controls the data type/precision of the pixel values of the 

4068 created image. 'f' indicates that float precision point (32 bit precision) pixel 

4069 values should be writted. 'd' indicates that double precision (64 bit precision) 

4070 pixel values should be written. If the input array has complex (as opposed to 

4071 real) values, then complex pixel values, with each of the real and imaginary 

4072 parts having the specified precision, will be written. Array values will be cast 

4073 automatically to the specified precision, so that the precision of the input 

4074 array values may be increased, decreased, or unchanged depending on the input 

4075 array type. 

4076  

4077 The coordinate system, provided as a a dictionary (use eg, cs.torecord() to do 

4078 that), is optional. If specified, it must have the same number of dimensions 

4079 as the pixels array. Call the naxes() method on the coordinate system tool to 

4080 see how many dimensions the coordinate system has. A coordinate system can be 

4081 created from scratch using the coordinate system (cs) tool and methods therein, 

4082 but often users prefer to use a coordinate system from an already existing image. 

4083 This can be gotten using ia.coordsys() which returns a coordinate system tool. 

4084 A torecord() call on that tool will result in a python dictionary describing 

4085 the coordinate system which is the necessary format for the csys input parameter 

4086 of ia.fromarray(). 

4087  

4088 If csys is not specified, a default coordinate system will be created. If 

4089 linear=False (the default), the created coordinate system will have standard 

4090 RA/DEC/Stokes/Spectral Coordinate axes depending upon the shape of the pixels 

4091 array (Stokes axis must be no longer than 4 pixels and the spectral axis may 

4092 precede the Stokes axis if eg, shape=[64,64,32,4]. Extra dimensions are given 

4093 linear coordinates. If linear=True, then all the resulting coordinates 

4094 are linear with the axes represent lengths. In this case each axis will have a 

4095 value of 0.0 at its center pixel. The increment of each axis will be 1.0 km. 

4096 """ 

4097 return _wrap_image(swig_object=self._swigobj.newimagefromarray(outfile, pixels, csys, linear, overwrite, log, type)) 

4098 

4099 def newimagefromfits(self, outfile='', infile='', whichrep=int(0), whichhdu=int(0), zeroblanks=False, overwrite=False): 

4100 """This function is used to convert a FITS disk image file (Float, 

4101 Double, Short, Long are supported) to an casa imagefile. If 

4102 {stfaf outfile} is given, the image is written to the specified disk 

4103 file. If {stfaf outfile} is unset, the on-the-fly Image tool 

4104 returned by this function is associated with a temporary image. This 

4105 temporary image may be in memory or on disk, depending on its size. 

4106 When you destroy the on-the-fly Image tool (with the done function) this 

4107 temporary image is deleted. 

4108  

4109 This function reads from the FITS primary array (when the image is at 

4110 the beginning of the FITS file; {stfaf whichhdu=0}), or an image 

4111 extension (when the image is elsewhere in the FITS file, {stfaf 

4112 whichhdu $>$ 0}). 

4113  

4114 By default, any blanked pixels will be converted to a mask value which 

4115 is false, and a pixel value that is NaN. If you set {stfaf 

4116 zeroblanks=T} then the pixel value will be zero rather than NaN. The 

4117 mask will still be set to false. See the function 

4118 replacemaskedpixels if you 

4119 need to replace masked pixel values after you have created the image. 

4120 """ 

4121 return _wrap_image(swig_object=self._swigobj.newimagefromfits(outfile, infile, whichrep, whichhdu, zeroblanks, overwrite)) 

4122 

4123 def newimagefromimage(self, infile='', outfile='', region={ }, mask='', dropdeg=False, overwrite=False): 

4124 """This function applies a region to a disk imagefile, creates a new 

4125 imagefile containing the (sub)image, and associates a new imagetool 

4126 with it. 

4127  

4128 The input disk image file may be in native casa, fits (Float, 

4129 Double, Short, Long are supported), or Miriad format. Look 

4130 htmlref{here}{IMAGES:FOREIGNIMAGES} for more information on foreign 

4131 images. 

4132  

4133 If {stfaf outfile} is given, the (sub)image is written to the specified 

4134 disk file. 

4135  

4136 If {stfaf outfile} is unset, the Image tool actually references the 

4137 input image file. So if you deleted the input image disk file, it 

4138 would render this tool useless. When you destroy this on-the-fly 

4139 tool (with the done 

4140 function) the reference connection is broken. 

4141  

4142 Sometimes it is useful to drop axes of length one (degenerate axes). 

4143 Use the {stfaf dropdeg} argument if you want to do this. 

4144  

4145 The output mask is the combination (logical OR) of the default input 

4146 pixelmask (if any) and the OTF mask. Any other input pixelmasks 

4147 will not be copied. Use function 

4148 maskhandler if you need to copy other 

4149 masks too. 

4150  

4151 See also the subimage function. 

4152 """ 

4153 return _wrap_image(swig_object=self._swigobj.newimagefromimage(infile, outfile, region, mask, dropdeg, overwrite)) 

4154 

4155 def newimagefromshape(self, outfile='', shape=[ int(0) ], csys={ }, linear=False, overwrite=False, log=True, type='f'): 

4156 """This function creates a CASA image with the specified shape. It is similar to 

4157 ia.fromshape(), but instead returns a new image analysis tool attached to the 

4158 new image, rather than attaching the new image to the current tool. All the 

4159 pixel values in the image are set to 0. One may create an image with float 

4160 precision pixels (type='f'), complex float precision pixels (type='c'), double 

4161 precision pixels (type='d'), or complex double precision pixels ('cd'). To use a 

4162 numpy array of values to create an image, use ia.(newimage)fromarray(). To make 

4163 a 2-D image from a packaged FITS file, use ia.maketestimage(). 

4164  

4165 If outfile is given, the image is written to the specified disk file. If 

4166 outfile is unset, the image analysis tool is associated with a temporary image. 

4167 This temporary image may be in memory or on disk, depending on its size. When 

4168 you close the image analysis tool (with the ia.close() method, the temporary 

4169 image is deleted. 

4170  

4171 The coordinate system, provided as a coordinate system tool record, is optional. 

4172 If provided, it must be dimensionally consistent with the specified shape. 

4173  

4174 If the coordinate system is not provided, a default coordinate system will be 

4175 created. If linear=False (the default), then it is a 

4176 standard RA/DEC/Stokes/Spectral coordinate system depending exactly upon the 

4177 shape (the Stokes axis must be no longer than 4 pixels and spectral axis may 

4178 occur prior to the Stokes axis if eg, shape=[64,64,32,4]. Extra dimensions are 

4179 given linear coordinates. If linear=True, then the coordinate system will have 

4180 linear coordinates. 

4181 """ 

4182 return _wrap_image(swig_object=self._swigobj.newimagefromshape(outfile, shape, csys, linear, overwrite, log, type)) 

4183 

4184 def pbcor(self, pbimage='', outfile='', overwrite=False, box='', region={ }, chans='', stokes='', mask='', mode='divide', cutoff=float(-1.0), stretch=False): 

4185 """Correct an image for primary beam attenuation using an image of the primary beam pattern. 

4186 The primary beam pattern can be provided as an image, in which case 1. it must have the same 

4187 shape as the input image and its coordinate system must be the same, or 2. it must 

4188 be a 2-D image in which case its coordinate system must consist of a (2-D) direction 

4189 coordinate which is the same as the direction coordinate in the input image and 

4190 its direction plane must be the same shape as that of the input image. Alternatively, 

4191 pbimage can be an array of pixel values in which case the same dimensionality and 

4192 shape constraints apply. 

4193 An image tool referencing the corrected image is returned. The corrected image will also 

4194 be written to disk if outfile is not empty (and overwrite=True if outfile already exists). 

4195 One can choose between dividing the image by the primary beam pattern (mode="divide") or 

4196 multiplying the image by the primary beam pattern (mode="multiply"). One can also choose 

4197 to specify a cutoff limit for the primary beam pattern. For mode="divide", for all pixels 

4198 below this cutoff in the primary beam pattern, the output image will be masked. In the 

4199 case of mode="multiply", all pixels in the output will be masked corresponding to pixels 

4200 with values greater than the cutoff in the primary beam pattern. A negative value for 

4201 cutoff means that no cutoff will be applied, which is the default. 

4202  

4203 """ 

4204 return _wrap_image(swig_object=self._swigobj.pbcor(pbimage, outfile, overwrite, box, region, chans, stokes, mask, mode, cutoff, stretch)) 

4205 

4206 def pixeltype(self): 

4207 """This application returns the data type of the pixels of the attached image as a string. 

4208 The possible values are: "float" which indicates real valued, floating point, 32 bit pixel 

4209 values, "complex" which indicates complex valued, floating point, 32 bit (for each of the 

4210 real and imaginary parts) pixel values, "double" which indicates real valued, floating 

4211 point, 64 bit pixel values, and "dcomplex" which indicates complex valued, floating point, 

4212 64 bit (for each of the real and imaginary parts) pixel values. 

4213  

4214 """ 

4215 return self._swigobj.pixeltype() 

4216 

4217 def pv(self, outfile='', start=[ ], end=[ ], center=[ ], length=[ ], pa=[ ], width=int(1), unit='arcsec', overwrite=False, region={ }, chans='', stokes='', mask='', stretch=False, wantreturn=True): 

4218 """Create a position-velocity image by specifying either two points between which a slice is taken in the direction 

4219 coordinate or a center, position angle, and length describing the slice. The spectral extent of the resulting image 

4220 will be that provided by the region specification or the entire spectral range of the input image if no region is 

4221 specified. One may not specify a region in direction space; that is accomplished by specifying the start and end 

4222 points or the center, length, and position angle of the slice. The parameters start and end may be specified as two 

4223 element arrays of numerical values, in which case these values will be interpreted as pixel locations in the input 

4224 image. Alternatively, they may be expressed as arrays of two strings each representing the direction. These strings 

4225 can either represent quantities (eg ["40.5deg", "0.5rad") or be sexigesimal format (eg ["14h20m20.5s","-30d45m25.4s"], 

4226 ["14:20:20.5s","-30.45.25.4"]). In addition, they may be expressed as a single string containing the longitude and 

4227 latitude values and optionally a reference frame value, eg "J2000 14:20:20.5s -30.45.25.4". The center parameter is 

4228 specified in the same way. The length parameter may be specified as a single numerical value, in which case it is 

4229 interpreted as the length in pixels, or a valid quantity, in which case it must have units conformant with the direction 

4230 axes units. The pa (position angle) parameter must be specified as a valid quantity with angular units. The position 

4231 angle is interpreted in the usual astronomical sense; ie measured from north through east. Either start/end or 

4232 center/pa/length must be specified; if a parameter from one of these sets is specified, a parameter from the other set may 

4233 not be specified. In either case, the end points of the segment must fail within the input image, and they both must be at 

4234 least 2 pixels from the edge of the input image to facilite rotation (see below). 

4235  

4236 One may specify a width, which is the number of pixels centered along and perpendicular 

4237 to the direction slice that are used for averaging along the slice. The width may be specified as an integer, in which 

4238 case it must be positive and odd. Alternatively, it may be specified as a valid quantity string (eg, "4arcsec") or 

4239 quantity record (eg qa.quantity("4arcsec"). In this case, units must be conformant to the direction axes units (usually 

4240 angular units) and the specified quantity will be rounded up, if necessary, to the next highest equivalent odd integer number 

4241 of pixels. The default value of 1 represents no averaging. 

4242 A value of 3 means average one pixel on each side of the slice and the pixel on the slice. 

4243 Note that this width is applied to pixels in the image after it has been rotated (see below for a description 

4244 of the algorithm used). The end points of the specified segment must fail within the input 

4245 image, and they both must be at least 2 pixels from the edge of the input image to facilite rotation (see below). 

4246  

4247 One may specify the unit for the angular offset axis. 

4248  

4249 A true value for the wantreturn parameter indicates that an image analysis tool attached to the created 

4250 image should be returned. Nothing is returned if wantreturn is false, but then outfile should be specified 

4251 (unless perhaps you are debugging). 

4252  

4253 Internally, the image is first rotated, padding first if necessary to include relevant pixels that would otherwise 

4254 be excluded by the rotation operation, so that the slice is horizontal, with the starting pixel left of the 

4255 ending pixel. Then, the pixels within the specified width of the slice are averaged and the resulting image is 

4256 written and/or returned. The output image has a linear coordinate in place of the direction coordinate of the 

4257 input image, and the corresponding axis represents angular offset with the center pixel having a value of 0. 

4258  

4259 The equivalent coordinate system, with a (usually) rotated direction coordinate (eg, RA and Dec) is written 

4260 to the output image as a table record. It can be retrieved using the table tool as shown in the example below. 

4261  

4262 """ 

4263 return _wrap_image(swig_object=self._swigobj.pv(outfile, start, end, center, length, pa, width, unit, overwrite, region, chans, stokes, mask, stretch, wantreturn)) 

4264 

4265 def makearray(self, v=float(0.0), shape=[ int(0) ]): 

4266 """This function takes two arguments. The first argument is the initial 

4267 value for the new array. The second is a vector giving the lengths of 

4268 the dimensions of the array. 

4269 """ 

4270 return self._swigobj.makearray(v, shape) 

4271 

4272 def isconform(self, other): 

4273 """Returns True if the shape, coordinate system, and axes order of the specified image 

4274 matches the current image. 

4275 """ 

4276 return self._swigobj.isconform(other) 

4277