Abstract
We propose a new point spread function (PSF) interpolation method based on compressive sampling (CS). Complex-Valued fractional Brownion motion (CV-fBm) field is used as a model of the PSF spatial distribution. The 1/f property of the fBm implies that it is a compressible field; therefore, CS will be able to fully reconstruct the field based on a small number of random samples. Performance evaluation shows the advantages of the proposed method over boxcar filtering, polynomial fitting, inverse distance weighting, and thin-plate methods. Potential applicability of the proposed method in weak gravitational lensing survey, particularly for interpolating fast varying PSF that represent distortion by turbulent field is also discussed.
Author
Suksmono, Andriyan B.
Journal
Monthly Notices of the Royal Astronomical Society
Paper Publication Date
September 2014
Paper Type
Astrostatistics