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 |
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URN: | urn:nbn:de:hbz:386-kluedo-5590 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (157) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 1995 |
Year of first Publication: | 1995 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/04/03 |
Note: | Altdaten, kein Volltext verfügbar ; Printversion in Bereichsbibliothek Mathematik vorhanden: MAT 144/620-157 |
Source: | Surveys on Mathematics for Industry, 29-85 (1997) |
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 |