Orthogonal and non-orthogonal multiresolution analysis, scale discrete and exact fully discrete wavelet transform on the sphere

  • Based on a new definition of delation a scale discrete version of spherical multiresolution is described, starting from a scale discrete wavelet transform on the sphere. Depending on the type of application, different families of wavelets are chosen. In particular, spherical Shannon wavelets are constructed that form an orthogonal multiresolution analysis. Finally fully discrete wavelet approximation is discussed in case of band-limited wavelets.

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Metadaten
Author:Willi Freeden, Michael Schreiner
URN:urn:nbn:de:hbz:386-kluedo-5663
Series (Serial Number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (163)
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 144/620-163
Source:Constructive Aproximation (1998)
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