Electronic Journal of Differential Equations 16th Conference on Applied Mathematics, Univ. of Central Oklahoma,
Electron. J. Diff. Eqns., Conf. 07, 2001, pp. 15-24.

Compression on the digital unit sphere

Mohamed Allali

A method for compressing functions on the unit sphere is presented. This method is based on a Ramanujan set of rotations, and generates an equidistributed system of points. This method is flexible and easy to implement as it needs only few transformations to cover the whole unit sphere with spherical caps.

Published July 20, 2001.
Subject lassfications: 42C40, 41A17.
Key words: Wavelets on the sphere, equidistribution, spherical caps.

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Mohamed Allali
Department of Computer Science
Mathematics and Physics
Chapman University
Orange, CA 92802, USA
e-mail: allali@chapman.edu

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