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   -> Volume 4, Issue 4

Preprint: Adaptive hierarchical approximation on the sphere
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Author Message (Jochen Froehlich)

PostPosted: Mon Dec 02, 2002 6:07 pm    
Subject: Preprint: Adaptive hierarchical approximation on the sphere
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Preprint: Adaptive hierarchical approximation on the sphere

Title: An adaptive hierarchical approximation method on the sphere
using axisymmetric locally supported basis functions

Authors: R"udiger Brand, Willi Freeden and Jochen Fr"ohlich

Lacunary hierarchical approximation in a wavelet-type basis has to cope
with the discretization problem for the computation of the retained
amplitudes. Furthermore, in sperical geometry no uniform discrete
shift operator is available.
The paper describes a hierarchical approximation method which has been
constructed in the multiresolution spirit using non-orthogonal bump-like
basis functions. It involves discrete shift, dilation and scale separation
only in a qualitative way. The resulting scheme is appealing by its
simplicity and nevertheless successfull and efficient for real life
scattered data approximation on the sphere.

University Kaiserslautern, Math Dep., Preprint 130.
Konrad-Zuse-Zentrum Berlin, Preprint SC 95-2

anonymous ftp: ftp://ftp.ZIB-Berlin.DE/pub/zib-publications/reports/
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