Practical wavelet design on the sphere

Abstract : 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.


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Soumis le : lundi 18 juin 2007 - 14:02:12
Dernière modification le : mardi 11 octobre 2016 - 13:25:52
Document(s) archivé(s) le : jeudi 8 avril 2010 - 20:37:13

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  • HAL Id : hal-00155489, version 1
  • ARXIV : 0706.2598

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F. Guilloux, G. Faÿ, J.-F. Cardoso. Practical wavelet design on the sphere. APC-07-45. 2007. <hal-00155489>

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