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Abstract: The statistics of the temperature anisotropies in the primordial cosmicmicrowave background radiation field provide a wealth of information forcosmology and for estimating cosmological parameters. An even more acuteinference should stem from the study of maps of the polarization state of theCMB radiation. Measuring the extremely weak CMB polarization signal requiresvery sensitive instruments. The full-sky maps of both temperature andpolarization anisotropies of the CMB to be delivered by the upcoming PlanckSurveyor satellite experiment are hence being awaited with excitement.Multiscale methods, such as isotropic wavelets, steerable wavelets, orcurvelets, have been proposed in the past to analyze the CMB temperature map.In this paper, we contribute to enlarging the set of available transforms forpolarized data on the sphere. We describe a set of new multiscaledecompositions for polarized data on the sphere, including decimated andundecimated Q-U or E-B wavelet transforms and Q-U or E-B curvelets. Theproposed transforms are invertible and so allow for applications in datarestoration and denoising.



Autor: J.L. Starck, Y.Moudden, J.Bobin

Fuente: https://arxiv.org/



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