Wavelets and curvelets on the sphere for polarized data

Details Wavelets and curvelets on the sphere for polarized data Wavelets and curvelets on the sphere for polarized data

Oct 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007spie.6701e..36m&link_type=abstract

Wavelets XII. Edited by Van De Ville, Dimitri; Goyal, Vivek K.; Papadakis, Manos. Proceedings of the SPIE, Volume 6701, pp. 67

Mathematics

Logic

Scientific paper

The statistics of the temperature anisotropies in the primordial Cosmic Microwave Background radiation field provide a wealth of information for cosmology and the estimation of cosmological parameters. An even more acute inference should stem from the study of maps of the polarization state of the CMB radiation. Measuring the latter extremely weak CMB polarization signal requires very sensitive instruments. The full-sky maps of both temperature and polarization anisotropies of the CMB to be delivered by the upcoming Planck Surveyor satellite experiment are hence awaited with excitement. Still, analyzing CMB data requires tackling a number of practical difficulties, notably that several other astrophysical sources emit radiation in the frequency range of CMB observations. Separating the different astrophysical foreground components and the CMB proper from available multichannel data is a problem that has drawn much attention in the community. Nevertheless, some level of residual contributions, most significantly in the galactic region and at the locations of strong radio point sources will unavoidably contaminate the estimated spherical CMB map. Masking out these regions is common practice but the gaps in the data need proper handling. In order to restore the stationarity of a partly incomplete CMB map and thus lower the impact of the gaps on non-local statistical tests, we developed an inpainting algorithm on the sphere to fill in the gaps, based on an iterative thresholding scheme in a sparse representation of the data. This algorithm relies on the variety of recently developed transforms on the sphere among which several multiscale transforms which we will review. We also contribute to enlarging the set of available transforms for polarized data on the sphere. We describe new multiscale decompositions namely the isotropic undecimated wavelet and curvelet transforms for polarized data on the sphere. The proposed transforms are invertible and so allow for applications in image restoration and denoising.

Affiliated with

Also associated with

No associations

Rating

Wavelets and curvelets on the sphere for polarized data does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wavelets and curvelets on the sphere for polarized data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wavelets and curvelets on the sphere for polarized data will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-954888