[fitswcs] Polynomial projection
William Thompson
William.T.Thompson.1 at gsfc.nasa.gov
Fri Apr 29 11:54:35 EDT 2005
While playing around with the GRISM projection, the thought occured to me, why
not have a polynomial projection? I know that Paper IV discusses polynomial
distortions, but projections are simpler than the distortions implementation of
Paper IV, and generally preferable when possible.
The new projection would be -PLY, and would be defined such that
S = S_r + w + A_2*w^2 + A_3*w^3 + ... + A_20*w^20
The various A_k values would be stored in the PVi_ka keywords. By default,
PVi_0a=0 and PVi_1a=1, and no other values would be allowed for those two
keywords. The default PVi_ka with k>1 would be 0.
The use of -PLY would be like that of the -LOG projection, e.g. CTYPEia =
'WAVE-PLY'.
It's probably too late to include this in Paper III, but it might be included in
Paper IV.
--
William Thompson
NASA Goddard Space Flight Center
Code 612.1
Greenbelt, MD 20771
USA
301-286-2040
William.T.Thompson.1 at gsfc.nasa.gov
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