159 articles – 2004 Notices  [english version]
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Practical wavelet design on the sphere
F. Guilloux1, 2, 3, G. Faÿ1, 4, J.-F. Cardoso1, 2

We address the question of designing isotropic analysis functions on the sphere which are perfectly limited in the spectral domain and optimally localized in the spatial domain. This work is motivated by the need of localized analysis tools in domains where the data is lying on the sphere, \eg{} the science of the Cosmic Microwave Background. Our construction is derived from the localized frames introduced by Narcowich, Petrushev, Ward, 2006. The analysis frames are optimized for given applications and compared numerically using various criteria.
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
2 :  LTCI - Laboratoire Traitement et Communication de l'Information [Paris]
3 :  LPMA - Laboratoire de Probabilités et Modèles Aléatoires
4 :  LPP - Laboratoire Paul Painlevé
Mathématiques/Analyse numérique

Mathématiques/Analyse classique



Physique/Astrophysique/Cosmologie et astrophysique extra-galactique

Planète et Univers/Astrophysique/Cosmologie et astrophysique extra-galactique

Planète et Univers/Astrophysique
Wavelets onthe sphere – wavelet design – CMB analysis – Slepian concentration problem – statistical criterion
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