Complex data processing:fast wavelet analysis on the sphere

Wiaux, Yves;McEwen, J.D.;Vielva, P.
(2007) Journal of Fourier Analysis and Applications — Vol. 13, n° 4, p. 476-493 (2007)

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Authors
  • Wiaux, YvesUCLouvain
    Author
  • McEwen, J.D.Astrophysics Group, Cavendish Laboratory, University of Cambridge
    Author
  • Vielva, P.Astrophysics Group, Cavendish Laboratory, University of Cambridge
    Author
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.
Affiliations
  • Signal Processing Institue, Ecole Polytechnique Fédérale de Lausanne (EPFL)

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Wiaux, Y., McEwen, J. D., & Vielva, P. (2007). Complex data processing:fast wavelet analysis on the sphere. Journal of Fourier Analysis and Applications, 13(4), 476-493. https://doi.org/10.1007/s00041-006-6917-9 (Original work published 2007)