A study of the uniform accuracy of univariate thin plate spline interpolation
Bejancu, A. and Hubbert, Simon (2012) A study of the uniform accuracy of univariate thin plate spline interpolation. Applied Numerical Mathematics 62 (12), pp. 1781-1789. ISSN 0168-9274.
Abstract
The usual power function error estimates do not capture the true order of uniform accuracy for thin plate spline interpolation to smooth data functions in one variable. In this paper we propose a new type of power function and we show, through numerical experiments, that the error estimate based upon it does match the expected order. We also study the relationship between the new power function and the Peano kernel for univariate thin plate spline interpolation.
Metadata
| Item Type: | Article |
|---|---|
| Keyword(s) / Subject(s): | Thin plate spline, Power function, Error estimates |
| School: | School of Business, Economics & Informatics > Economics, Mathematics and Statistics |
| Depositing User: | Simon Hubbert |
| Date Deposited: | 01 Oct 2013 10:50 |
| Last Modified: | 01 Oct 2013 10:50 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/8230 |
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