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Wavelets, ridgelets and curvelets on the sphere
Astronomy and Astrophysics
We present in this paper new multiscale transforms on the sphere, namely the isotropic undecimated wavelet transform, the pyramidal wavelet transform, the ridgelet transform and the curvelet transform. All of these transforms can be inverted i.e. we can exactly reconstruct the original data from its coefficients in either representation. Several applications are described. We show how these transforms can be used in denoising and especially in a Combined Filtering Method, which uses both thedoi:10.1051/0004-6361:20053246 fatcat:3sfv3s3t7bgrnok4bird6rm7ci