Complex data processing: Fast wavelet analysis on the sphere

Yves Wiaux; Jason D McEwen; P. Vielva

doi:10.1007/s00041-006-6917-9

Complex data processing: Fast wavelet analysis on the sphere

Yves Wiaux^*, Jason D McEwen, P. Vielva

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

30 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 language	English
Pages (from-to)	477-493
Number of pages	17
Journal	Journal of Fourier Analysis and Applications
Volume	13
Issue number	4
DOIs	https://doi.org/10.1007/s00041-006-6917-9
Publication status	Published - 1 Aug 2007

Keywords

Complex data
Cosmology
Sphere
Wavelet analysis

ASJC Scopus subject areas

General Mathematics
Applied Mathematics
Analysis

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10.1007/s00041-006-6917-9

Cite this

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title = "Complex data processing: Fast wavelet analysis on the sphere",

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.",

keywords = "Complex data, Cosmology, Sphere, Wavelet analysis",

author = "Yves Wiaux and McEwen, {Jason D} and P. Vielva",

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AU - McEwen, Jason D

AU - Vielva, P.

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N2 - 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.

AB - 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.

KW - Complex data

KW - Cosmology

KW - Sphere

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Complex data processing: Fast wavelet analysis on the sphere

Abstract

Keywords

ASJC Scopus subject areas

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