## A Survey on Spherical Spline Approximation

• Spline functions that approximate data given on the sphere are developed in a weighted Sobolev space setting. The flexibility of the weights makes possible the choice of the approximating function in a way which emphasizes attributes desirable for the particular application area. Examples show that certain choices of the weight sequences yield known methods. A convergence theorem containing explicit constants yields a usable error bound. Our survey ends with the discussion of spherical splines in geodetically relevant pseudodifferential equations.

Author: Willi Freeden, Michael Schreiner, R. Franke urn:nbn:de:hbz:386-kluedo-5590 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (157) Preprint English 1995 1995 Technische Universität Kaiserslautern 2000/04/03 Surveys on Mathematics for Industry, 29-85 (1997) Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

$Rev: 13581$