An Adaptive Hierarchical Approximation Method on the Sphere Using Axisymmetric Locally Supported Basis Functions
Please always quote using this URN: urn:nbn:de:0297-zib-1682
- The paper discusses the approximation of scattered data on the sphere which is one of the major tasks in geomathematics. Starting from the discretization of singular integrals on the sphere the authors devise a simple approximation method that employs locally supported spherical polynomials and does not require equidistributed grids. It is the basis for a hierarchical approximation algorithm using differently scaled basis functions, adaptivity and error control. The method is applied to two examples one of which is a digital terrain model of Australia.
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| Author: | Rüdiger Brand, Willi Freeden, Jochen Fröhlich |
|---|---|
| Document Type: | ZIB-Report |
| Date of first Publication: | 1995/02/06 |
| Series (Serial Number): | ZIB-Report (SC-95-02) |
| ZIB-Reportnumber: | SC-95-02 |
| Published in: | Appeared in: Computing 57 (1996) pp. 187-212 |
