Scattered data interpolation and approximation with error bounds (Q1089718)
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scientific article; zbMATH DE number 4005428
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Scattered data interpolation and approximation with error bounds |
scientific article; zbMATH DE number 4005428 |
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Scattered data interpolation and approximation with error bounds (English)
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1986
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Multistage methods for interpolating and approximating three-dimensional scattered data are presented. The first state forms several local least squares polynomial approximations of degree two or three; the second is a piecewise bicubic Hermite interpolant to gridded data. The third (optional) stage consists of a modified Sheppard's method. Reasons for these choices are explained. Error bounds depending on the maximum distance from the nearest data points are derived. Comparisons with other methods are indicated and a wide bibliography (25 titles) included.
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surface fitting
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bivariate interpolation
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three-dimensional scattered data
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local least squares polynomial approximations
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piecewise bicubic Hermite interpolant
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Sheppard's method
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Error bounds
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Comparisons
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bibliography
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