Algorithms for cardinal interpolation using box splines and radial basis functions
✍ Scribed by Kurt Jetter; Joachim Stöckler
- Publisher
- Springer-Verlag
- Year
- 1991
- Tongue
- English
- Weight
- 751 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0029-599X
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## Order-N algorithms Particle methods Parallel computing We have developed a parallel algorithm for radial basis function (RBF) interpolation that exhibits O(N) complexity, requires O(N) storage, and scales excellently up to a thousand processes. The algorithm uses a GMRES iterative solver with a
This paper discusses approximation errors for interpolation in a variational setting which may be obtained from the analysis given by Golomb and Weinberger. We show how this analysis may be used to derive the power function estimate of the error as introduced by Schaback and Powell. A simple error t