Name
Title | ||
|---|---|---|
Continuous and discrete least-squares approximation by radial basis functions on spheres |
Abstract | ||
|---|---|---|
In this paper we discuss Sobolev bounds on functions that vanish at scattered points on the n-sphere S^n in R^n^+^1. The Sobolev spaces involved may have fractional as well as integer order. We then apply these results to obtain estimates for continuous and discrete least-squares surface fits via radial basis functions (RBFs). We also address a stabilization or regularization technique known as spline smoothing. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.jat.2006.03.007 | Journal of Approximation Theory |
Keywords | DocType | Volume |
integer order,discrete least-squares approximation,discrete least-squares surface,radial basis function,scattered point,Sobolev space,regularization technique,Sobolev bound,radial basis functions,spline smoothing,error estimates,scattered data,norming sets | Journal | 143 |
Issue | ISSN | Citations |
1 | 0021-9045 | 17 |
PageRank | References | Authors |
1.22 | 6 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Q. T. Le Gia | 1 | 93 | 12.64 |
| F. J. Narcowich | 2 | 89 | 19.20 |
| J. D. Ward | 3 | 36 | 5.98 |
| Holger Wendland | 4 | 309 | 43.49 |