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   -> Volume 3, Issue 17


Preprint: Multiresolution Analysis and Wavelets on S^2 and S^3
 
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ilona@igpm.rwth-aachen.de (Ilona Weinreich)
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PostPosted: Mon Dec 02, 2002 1:27 pm    
Subject: Preprint: Multiresolution Analysis and Wavelets on S^2 and S^3
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Preprint: Multiresolution Analysis and Wavelets on S^2 and S^3

The following preprint is available

"Multiresolution Analysis and Wavelets on S^2 and S^3"

by Stephan Dahlke, Wolfgang Dahmen, Eberhard Schmitt and Ilona Weinreich

Abstract: In this paper, we construct a multiresolution analysis and a
wavelet basis on two specific compact manifolds. Using special charts, the
problem is reduced to finding appropriate nested spaces on rectangular
domains. The claim of C^1-continuity gives rise to certain boundary conditions
on the rectangles. To satisfy these conditions, we use a tensor product
approach in which one factor is an exponential spline.


Bericht Nr. 104, Institut fuer Geometrie und Praktische Mathematik,
RWTH Aachen

The paper can be retrieved as a compressed postscript file using
the following procedure:

ftp ftp.igpm.rwth-aachen.de
anonymous
e-mail-adress (password)
cd reports
bin
get igpm_104.ps.Z

Ilona Weinreich
Intitut fuer Geometrie und Praktische Mathematik
RWTH Aachen Templergraben 55 52056 Aachen
e-mail: ilona@igpm.rwth-aachen.de
All times are GMT + 1 Hour
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