article · 2007

Fast directional continuous spherical wavelet transform algorithm

J. D. Mcewen, M. P. Hobson, D. J. Mortlock, A. N. Lasenby

Cited by 0Abstract and details only

Abstract

Abstract — The construction of a spherical wavelet analysis through the inverse stereographic projection of the Euclidean planar wavelet framework, originally introduced by Wiaux et al. [1], is described and extended to anisotropic dilations defined on the sphere in two orthogonal directions. Fast algorithms for performing the directional continuous wavelet analysis on the sphere are presented. The anisotropic fast algorithm provides a saving of O ( √ Npix) over a direct quadrature implementation, for Npix pixels on the sphere, and allows one to perform an anisotropic spherical wavelet analysis of a 10 6 pixel map on a personal computer. Index Terms — Wavelet transforms, spheres, convolution. I.

Cite this paper

APA 7

Mcewen, J. D., Hobson, M. P., Mortlock, D. J., & Lasenby, A. N. (2007). Fast directional continuous spherical wavelet transform algorithm.

MLA 9

Mcewen, J. D., et al. “Fast directional continuous spherical wavelet transform algorithm.” 2007.

Chicago

Mcewen, J. D., M. P. Hobson, D. J. Mortlock, and A. N. Lasenby. 2007. “Fast directional continuous spherical wavelet transform algorithm.”

Harvard

Mcewen, J.D. et al. (2007) ‘Fast directional continuous spherical wavelet transform algorithm’.

BibTeX

@article{mcewen2007fast,
  title = {{Fast directional continuous spherical wavelet transform algorithm}},
  author = {Mcewen, J. D. and Hobson, M. P. and Mortlock, D. J. and Lasenby, A. N.},
  year = {2007}
}

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