TY - INPR
A1 - Freeden, Willi
A1 - Gervens, T.
A1 - Schreiner, Michael
T1 - Tensor Spherical Harmonics and Tensor Spherical Splines
N2 - 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.
T3 - Berichte der Arbeitsgruppe Technomathematik (AGTM Report) - 88
Y1 - 1993
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/726
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-6940
ER -