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Complex Data Processing: Fast Wavelet Analysis on the Sphere

Wiaux, Y. ; McEwen, J.D. ; Vielva, P.

In: Journal of Fourier Analysis and Applications, 2007, vol. 13, no. 4, p. 477-493

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    Titre
    • Complex Data Processing: Fast Wavelet Analysis on the Sphere
    Auteur
    • Wiaux, Y.. Signal Processing Institute, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
    • McEwen, J.D.. Astrophysics Group, Cavendish Laboratory, University of Cambridge, CB3 0HE Cambridge, UK
    • Vielva, P.. Astrophysics Group, Cavendish Laboratory, University of Cambridge, CB3 0HE Cambridge, UK
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Journal of Fourier Analysis and Applications, 2007, vol. 13, no. 4, p. 477-493. Birkhäuser-Verlag; www.birkhauser.com
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:315139
    Summary
    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