Spherical Wavelet Transform and its Discretization

  • 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 Daubechies wavelets and wavelet packets (known from Euclidean theory). 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 (Co) (like Abel-Poisson or Gauß-Weierstraß operators) lead in canonical way to (pyramidal) algorithms.

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Metadaten
Author:Willi Freeden, U. Windheuser
URN:urn:nbn:de:hbz:386-kluedo-5249
Series (Serial Number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (125)
Document Type:Preprint
Language of publication:English
Year of Completion:1996
Year of first Publication:1996
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Note:
Altdaten, kein Volltext verfügbar ; Printversion in Bereichsbibliothek Mathematik vorhanden: MAT 144/620-125
Source:Advances in Computational Mathematics, 5, 51-94 (1996)
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011