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Proceedings Paper

Wavelets and multiresolution analysis on sphere-like surfaces
Author(s): Eberhard Schmitt
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Paper Abstract

We construct a multiresolution analysis and wavelets on the manifolds S2 and SO(3). For C1-functions on S2 we derive the differentiability conditions for the singular points of their coordinate representation depending on polar coordinates. This leads in a natural way to tensor products of E-spline wavelets and wavelets on the interval. By using quaternion parameterization the case of SO(3) is reduced to the case of S3, which can be dealt with in the same way as S2 using a special parameterization.

Paper Details

Date Published: 1 September 1995
PDF: 10 pages
Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); doi: 10.1117/12.217639
Show Author Affiliations
Eberhard Schmitt, Institut fuer Molekulare Biotechnologie (Germany)

Published in SPIE Proceedings Vol. 2569:
Wavelet Applications in Signal and Image Processing III
Andrew F. Laine; Michael A. Unser, Editor(s)

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