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<h1>Problems Introduced by the HST/ACS Distortion<a class="headerlink" href="#problems-introduced-by-the-hst-acs-distortion" title="Permalink to this headline">ΒΆ</a></h1>
<p>All calibrations for HST observations get recorded and applied through the use of
reference files, separate files which describe some calibration. The geometric
distortion typically applied to HST images gets recorded as a polynomial component
in one reference file, and a pixel-by-pixel correction to the polynomial solution
in a separate reference file. This method allows the distortion to be corrected to
an accuracy of better than 0.1 pixels. However, this method requires the user to
obtain the reference files themselves anytime they want to reprocess the data. The
size of these reference files (up to 200Mb) makes this an expensive requirement for
the end user. The alternative would be to include the necessary specification of the
distortion model in the header of the science image itself, as long as it can be done in a
manner that does not dramatically increase the size of the FITS file. For reference,
a typical calibrated ACS/WFC image requires a 168Mb file. Thus, we needed an alternative
to separate reference files which can be implemented in a very efficient manner within
the image’s FITS headers.</p>
<p>The calibrations also represent separate aspects of the detector and the distortion,
aspects which logically should remain as separate descriptions in the header. The pixels
for each CCD do not have the same size across the entire chip. The ACS/WFC CCDs manufacturing
process resulted in the pixels having different sizes every 68.3 columns, and can be represented
most efficiently and accurately by a 1-D correction that gets applied to every row in the chip.
This detector level characterization affects all images readout from the CCD regardless of any
additional distortion applied to the field of view. Logically, this effect should be kept as a
separate component of the distortion model that gets applied prior to correcting for any other
distortion. This represents an example of an effect that is best applied sequentially to the image data.</p>
<p>Additional distortions come as a result of the effect of the optics on the field of view.
These are generally described by low-order polynomials for most instruments, although for
ACS, an additional non-polynomial correction needed to be taken into account as well.
Fortunately, the non-polynomial correction can sub-sampled enough to make it practical
to include in the image headers directly, a correction of up to a quarter of a pixel in some
areas of the detector. Both components need to be applied to the data in order to align images
well enough for subsequent data analysis or cosmic-ray rejection.</p>
<p>These corrections could be combined into a single look-up table, yet it would come at the
cost of additional errors which may not allow the remaining data analysis or cosmic-ray
rejection to actually succeed. We also have some instruments where there is only a polynomial
component, requiring the development of support for a polynomial correction and a look-up
table anyway.</p>
<p>These requirements on the application of the calibrations to HST data leave us with no
alternative within current FITS standards. As a result, we developed this set of rules
which allow us to take advantage of the most appropriate conventions for each separate
component of the distortion model and combine them in an efficient manner which eliminates
the need for external reference data.</p>
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