Complex data processing: fast wavelet analysis on the sphere

Astronomy and Astrophysics – Astrophysics

Scientific paper

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20 pages, 5 figures, JFAA style, paper invited to J. Fourier Anal. and Applic

Scientific paper

10.1007/s00041-006-6917-9

In the general context of complex data processing, this paper 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.

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