A fast directional continuous spherical wavelet transform
Astrophysics
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.astro-ph/0409288,
title = {A fast directional continuous spherical wavelet transform},
author = {J. D. McEwen and M. P. Hobson and A. N. Lasenby and D. J. Mortlock},
journal= {arXiv preprint arXiv:astro-ph/0409288},
year = {2007}
}
Comments
4 pages, 2 figures, XXXIXth Recontres de Moriond