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.
Author: | Willi Freeden, U. Windheuser |
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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 |