Multivariate interpolating \((m,\ell,s)\)-splines (Q1971247)
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scientific article; zbMATH DE number 1421725
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multivariate interpolating \((m,\ell,s)\)-splines |
scientific article; zbMATH DE number 1421725 |
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Multivariate interpolating \((m,\ell,s)\)-splines (English)
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7 September 2000
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The \((m,l,s)\)-splines form a semi-Hilbert space of tempered distributions on \(R^d\). They generalize the thin plate splines. The authors consider \((m,l,s)\)-splines, which interpolate with respect to some finite number of linear continuous functionals and minimize the semi-norm. The existence and uniqueness of such interpolating splines is proved and some examples are given.
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multivariate interpolation
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thin plate splines
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semi-Hilbert space
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distributions
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