Generalized Weighted Spline Approximation on the Sphere
- Spline functions that interpolate 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 pointwise convergence theorem containing explicit constants yields a useable error bound.
Author: | Willi Freeden, R. Franke |
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URN: | urn:nbn:de:hbz:386-kluedo-7051 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (98) |
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 144/620-98 |
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 |