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   -> Volume 4, Issue 3


Preprint: Spherical Wavelet Transform and Its Discretization
 
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freeden@mathematik.uni-kl.de "W. Freeden"
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PostPosted: Mon Dec 02, 2002 5:45 pm    
Subject: Preprint: Spherical Wavelet Transform and Its Discretization
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Preprint: Spherical Wavelet Transform and Its Discretization

Title: Spherical Wavelet Transform and Its Discretization
Authors: Willi Freeden and Ulrich Windheuser


Abstract:
A continuous version of spherical multiresolution is described, starting from
continuous wavelet transform on the sphere. Scale discretization enables us
to construct spherical counterparts to wavelet packets scale discrete wavelets.
Essential tool is the theory of singular integrals on the sphere. It is shown
that singular integral operators forming a semigroup of contraction operators
of class (C_0) (like Abel-Poisson or Gauss-Weierstrass operators) lead in a
canonical way to (pyramidal) algorithms.


Berichte der Arbeitsgruppe Technomathematik, Report No. 125

Prof. Dr. W. Freeden
University of Kaiserslautern
Laboratory of Technomathematics
Geomathematics Group
Kurt-Schumacher-Str. 26
D-67663 Kaiserslautern
Germany

Tel.: xx631-205-2952 xx631-205-3867 Fax: xx631-29081
e-mail: freeden@mathematik.uni-kl.de
All times are GMT + 1 Hour
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