Abstract
Radial basis functions appear in a wide field of applications in numerical mathematics and computer science. We present a fast algorithm for scattered data interpolation and approximation on the sphere with spherical radial basis functions of different spatial density. We discuss three settings, each leading to a special structure of the interpolation matrix allowing for an efficient implementation using discrete Fourier transforms. A numerical example is given to show the advantages of spherical radial basis functions with different spatial densities.
| Original language | English |
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| Title of host publication | Frontiers in Interpolation and Approximation |
| Number of pages | 28 |
| Publisher | CRC Press |
| Publication date | 01.01.2006 |
| Pages | 259-286 |
| ISBN (Print) | 1584886366, 9781584886365 |
| ISBN (Electronic) | 9781420011388 |
| Publication status | Published - 01.01.2006 |