3D sparse representations on the sphere and applications in astronomy
François Lanusse, Jean‐Luc Starck · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2013
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.