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Complex data processing:fast wavelet analysis on the sphere

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Wiaux, Yves [UCL] McEwen, J.D. [Astrophysics Group, Cavendish Laboratory, University of Cambridge] Vielva, P. [Astrophysics Group, Cavendish Laboratory, University of Cambridge]

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.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2007
Language Anglais
Journal information "Journal of Fourier Analysis and Applications" - Vol. 13, no.4, p. 476-493 (2007)
Peer reviewed yes
Publisher Birkhaeuser Boston ((United States) Cambridge)
issn 1069-5869
e-issn 1531-5851
Publication status Publié
Affiliation Signal Processing Institue, Ecole Polytechnique Fédérale de Lausanne (EPFL)
Links
Bibliographic reference Wiaux, Yves ; McEwen, J.D. ; Vielva, P.. Complex data processing:fast wavelet analysis on the sphere. In: Journal of Fourier Analysis and Applications, Vol. 13, no.4, p. 476-493 (2007)
Permanent URL http://hdl.handle.net/2078/182019