Interpolation of PSF based on compressive sampling and its application in weak lensing survey

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 b...

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Veröffentlicht in:Monthly notices of the Royal Astronomical Society 2014-09, Vol.443 (1), p.919-926
1. Verfasser: Suksmono, Andriyan B.
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description 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.
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subjects Astronomy
Compressibility
Computational fluid dynamics
Cosmology
Distortion
Interpolation
Inverse
Numerical analysis
Polynomials
Sampling
Turbulence
title Interpolation of PSF based on compressive sampling and its application in weak lensing survey
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