3D sparse representations on the sphere and applications in astronomy

François Lanusse; Jean-Luc Starck

doi:10.1117/12.2023912

26 September 2013 3D sparse representations on the sphere and applications in astronomy

François Lanusse, Jean-Luc Starck

Proceedings Volume 8858, Wavelets and Sparsity XV; 88580K (2013) https://doi.org/10.1117/12.2023912
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

Abstract

We present several 3D sparse decompositions based on wavelets on the sphere that are useful for different kind of data set such as regular 3D spherical measurements (r,θ, φ) and multichannel spherical measurements (λ, θ, φ). We show how these new decompositions can be used for astronomical data denoising and deconvolution, when the data are contaminated by Gaussian and Poisson noise.

Citation Download Citation

François Lanusse and Jean-Luc Starck "3D sparse representations on the sphere and applications in astronomy", Proc. SPIE 8858, Wavelets and Sparsity XV, 88580K (26 September 2013); https://doi.org/10.1117/12.2023912

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