Complex data processing: Fast wavelet analysis on the sphere

Yves Wiaux, Jason D McEwen, P. Vielva

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

In the general context of complex data processing, this article reviews a recent practical approach to the continuous wavelet formalism on the sphere. This formalism notably yields a correspondence principle which relates wavelets on the plane and on the sphere. Two fast algorithms are also presented for the analysis of signals on the sphere with steerable wavelets.

Original languageEnglish
Pages (from-to)477-493
Number of pages17
JournalJournal of Fourier Analysis and Applications
Volume13
Issue number4
DOIs
Publication statusPublished - 1 Aug 2007

Keywords

  • Complex data
  • Cosmology
  • Sphere
  • Wavelet analysis

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Analysis

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