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Using the WCS object | ||
==================== | ||
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Let's expand the WCS created in :ref:`getting-started` by adding a distortion. | ||
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First create polynomial transform to represent distortion: | ||
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>>> polyx = Polynomial2D(4) | ||
>>> polyx.parameters = np.random.randn(15) | ||
>>> polyy = Polynomial2D(4) | ||
>>> polyy.parameters = np.random.randn(15) | ||
>>> distortion = (Mapping((0, 1, 0, 1)) | polyx & polyy).rename("distortion") | ||
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Create an intermediate frame. The distortion transforms positions on the | ||
detector into this frame. | ||
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>>> focal_frame = cf.Frame2D(name="focal_frame", unit=(u.arcsec, u.arcsec)) | ||
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Create the WCS pipeline and initialize the WCS: | ||
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>>> pipeline = [(detector_frame, distortion), | ||
(focal_frame, det2sky), | ||
(sky_frame, None) | ||
] | ||
>>> wcsobj = wcs.WCS(pipeline) | ||
>>> print(wcsobj) | ||
From Transform | ||
----------- ---------- | ||
detector distortion | ||
focal_frame focal2sky | ||
icrs None | ||
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To see what frames are defined: | ||
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>>> print(wcsobj.available_frames) | ||
['detector', 'focal_frame', 'icrs'] | ||
>>> wcsobj.input_frame | ||
<Frame2D(name="detector", unit=(Unit("pix"), Unit("pix")), axes_names=('x', 'y'), | ||
axes_order=(0, 1))> | ||
>>> wcsobj.output_frame | ||
<CelestialFrame(name="icrs", unit=(Unit("deg"), Unit("deg")), axes_names=('lon', 'lat'), | ||
axes_order=(0, 1), reference_frame=<ICRS Frame>)> | ||
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Because the ``output_frame`` is a `~gwcs.coordinate_frames.CoordinateFrame` object we can get | ||
the result of the WCS transform as an `astropy.coordinates.SkyCoord` object and transform | ||
them to other standard coordinate frames supported by `astropy.coordinates`. | ||
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>>> skycoord = wcsobj(1, 2, output="numericals_plus") | ||
>>> print(skycoord) | ||
<SkyCoord (ICRS): (ra, dec) in deg | ||
( 4.97563356, -72.54530634)> | ||
>>> print(skycoord.transform_to("galactic")) | ||
<SkyCoord (Galactic): (l, b) in deg | ||
( 306.23201951, -44.38032023)> | ||
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Some methods allow managing the transforms in a more detailed manner. | ||
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Transforms between frames can be retrieved and evaluated separately. | ||
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>>> distortion = wcsobj.get_transform('detector', 'focal') | ||
>>> distortion(1, 2) | ||
(4.807433286098964, 4.924746607074259) | ||
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Transforms in the pipeline can be replaced by new transforms. | ||
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>>> new_transform = Shift(1) & Shift(1.5) | distortion | ||
>>> wcsobj.set_transform('detector', 'focal_frame', new_transform) | ||
>>> wcsobj(1, 2) | ||
(7.641677379945592, -71.18890415491595) | ||
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A transform can be inserted before or after a frame in the pipeline. | ||
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>>> scale = Scale(2) & Scale(1) | ||
>>> wcsobj.insert_transform('icrs', scale, after=False) | ||
>>> wcsobj(1, 2) | ||
(15.283354759891184, -71.18890415491595) | ||
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The WCS object has an attribute ``domain`` which describes the range of | ||
acceptable values for each input axis. | ||
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>>> wcsobj.domain = [{'lower': 0, 'upper': 2048, 'includes_lower': True, 'includes_upper': False}, | ||
{'lower': 0, 'upper': 1000, 'includes_lower': True, 'includes_upper': False}] |
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