Spline approximation of discontinuous multivariate functions from scattered data (Q5939874)
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scientific article; zbMATH DE number 1623358
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spline approximation of discontinuous multivariate functions from scattered data |
scientific article; zbMATH DE number 1623358 |
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Spline approximation of discontinuous multivariate functions from scattered data (English)
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12 May 2002
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scattered data
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numerical examples
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discontinuous multivariate functions
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algorithm
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fitting method
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discrete smoothing \(D^m\)-splines
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convergence
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The approximation of discontinuous multivariate functions from a set of scattered data points is usually a two-stage process: first, a detection algorithm is applied to localize the discontinuity sets. Then the functions are reconstructed using a fitting method.NEWLINENEWLINENEWLINEIn this paper the authors propose a new method for the second stage, based on the computation of discrete smoothing \(D^m\)-splines. A result of local convergence of the approximations provided by the method is established. Some numerical and graphical examples are finally given.
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