A fast directional continuous spherical wavelet transform

Details A fast directional continuous spherical wavelet transform A fast directional continuous spherical wavelet transform

2004-09-13

arxiv.org/abs/astro-ph/0409288v1

Astronomy and Astrophysics

Astrophysics

4 pages, 2 figures, XXXIXth Recontres de Moriond

Scientific paper

A fast algorithm for Antoine and Vandergheynst's (1998) directional continuous spherical wavelet transform (CSWT) is presented. Computational requirements are reduced by a factor of O(\sqrt{N}), when N is the number of pixels on the sphere. The spherical Mexican hat wavelet Gaussianity analysis of the WMAP 1-year data performed by Vielva et al. (2003) is reproduced and confirmed using the fast CSWT. The proposed extension to directional analysis is inherently afforded by the fast CSWT algorithm.

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