Deconvolution with a spatially variant PSF

Tod Lauer

doi:10.1117/12.461035

19 December 2002 Deconvolution with a spatially-variant PSF

Tod Lauer

Proceedings Volume 4847, Astronomical Data Analysis II; (2002) https://doi.org/10.1117/12.461035
Event: Astronomical Telescopes and Instrumentation, 2002, Waikoloa, Hawai'i, United States

Abstract

Application of deconvolution algorithms to astronomical images is often limited by variations in PSF structure over the domain of the images. One major difficulty is that Fourier methods can no longer be used for fast convolutions over the enitre images. However, if the PSF is modeled as a sum of orthogonal functions that are individually constant in form over the images, but whose relative amplitudes encode the PSF spatial variability, then separation of variables again allows global image operations to be used. This approach is readily adapted to the Lucy-Richardson deconvolution algorithm. Use of the Karhunen-Loeve transform allows for a particularly compact orthogonal expansion of the PSF. These techniques are demonstrated on the deconvolution of Gemini/Hokupa'a adaptive optics images of the galactic center.

Citation Download Citation

Tod Lauer "Deconvolution with a spatially-variant PSF", Proc. SPIE 4847, Astronomical Data Analysis II, (19 December 2002); https://doi.org/10.1117/12.461035

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