Practical wavelet design on the sphere
Numerical Analysis
2007-06-19 v1 Astrophysics
Classical Analysis and ODEs
Statistics Theory
Statistics Theory
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, e.g.{} 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.
Keywords
Cite
@article{arxiv.0706.2598,
title = {Practical wavelet design on the sphere},
author = {Frédéric Guilloux and Gilles Fay and Jean-François Cardoso},
journal= {arXiv preprint arXiv:0706.2598},
year = {2007}
}