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   -> Volume 5, Issue 10

Preprint: A Pyramid Scheme for Spherical Wavelets
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Michael Schreiner (

PostPosted: Wed Dec 04, 1996 1:48 pm    
Subject: Preprint: A Pyramid Scheme for Spherical Wavelets
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#9 Preprint: A Pyramid Scheme for Spherical Wavelets

Author: Michael Schreiner

Title: A Pyramid Scheme for Spherical Wavelets

Abstract: We consider a scale discrete wavelet approach on the sphere
based on spherical radial basis functions. If the generators of the
wavelets have a compact support, the scale and detail spaces are
finite--dimensional, so that the detail information of a function is
determined by only finitely many wavelet coefficients for each scale.
We describe a pyramid scheme for the recursive determination of the
wavelet coefficients from level to level, starting from an initial
approximation of a given function. Basic tools are integration
formulas which are exact for functions up to a given polynomial degree
and spherical convolutions.

This preprint is available at


Best regards

M. Schreiner

Dr. Michael Schreiner e-mail:
University of Kaiserslautern
Department of Mathematics Tel.: +49 631 205 3244
Geomathematics Group Fax: +49 631 29081
P.O.Box 3049
D-67653 Kaiserslautern
All times are GMT + 1 Hour
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