Tensor Spherical Harmonics and Tensor Spherical Splines
- In this paper, we deal with the problem of spherical interpolation of discretely given data of tensorial type. To this end, spherical tensor fields are investigated and a decomposition formula is described. Tensor spherical harmonics are introduced as eigenfunctions of a tensorial analogon to the Beltrami operator and discussed in detail. Based on these preliminaries, a spline interpolation process is described and error estimates are presented. Furthermore, some relations between the spline basis functions and the theory of radial basis functions are developed.
Author: | Willi Freeden, T. Gervens, Michael Schreiner |
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URN: | urn:nbn:de:hbz:386-kluedo-6940 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (88) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 1993 |
Year of first Publication: | 1993 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/04/03 |
Note: | Altdaten, kein Volltext verfügbar ; Printversion in Bereichsbibliothek Mathematik vorhanden: MAT 144/620-88 |
Source: | Manuscripta Geodaetica, 19, 70-100 (1994) |
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 |