Astronomical Data Analysis and Sparsity: from Wavelets to Compressed Sensing

Details Astronomical Data Analysis and Sparsity: from Wavelets to Compressed Sensing Astronomical Data Analysis and Sparsity: from Wavelets to Compressed Sensing

2009-03-19

arxiv.org/abs/0903.3383v1

Astronomy and Astrophysics

Astrophysics

Instrumentation and Methods for Astrophysics

Submitted. Full paper will figures available at http://jstarck.free.fr/IEEE09_SparseAstro.pdf

Scientific paper

Wavelets have been used extensively for several years now in astronomy for many purposes, ranging from data filtering and deconvolution, to star and galaxy detection or cosmic ray removal. More recent sparse representations such ridgelets or curvelets have also been proposed for the detection of anisotropic features such cosmic strings in the cosmic microwave background. We review in this paper a range of methods based on sparsity that have been proposed for astronomical data analysis. We also discuss what is the impact of Compressed Sensing, the new sampling theory, in astronomy for collecting the data, transferring them to the earth or reconstructing an image from incomplete measurements.

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