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.

Export metadata

  • Export Bibtex
  • Export RIS

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Willi Freeden, T. Gervens, Michael Schreiner
URN (permanent link):urn:nbn:de:hbz:386-kluedo-6940
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (88)
Document Type:Preprint
Language of publication:English
Year of Completion:1993
Year of Publication:1993
Publishing Institute:Technische Universität Kaiserslautern
Source:Manuscripta Geodaetica, 19, 70-100 (1994)
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik

$Rev: 12793 $