Surface fitting using convex Powell-Sabin splines (Q1893559)
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scientific article; zbMATH DE number 770328
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surface fitting using convex Powell-Sabin splines |
scientific article; zbMATH DE number 770328 |
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Surface fitting using convex Powell-Sabin splines (English)
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4 July 1995
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The Powell-Sabin splines are defined in terms of \(B\)-splines in order to use their local support property. The used Bernstein-Bézier representation leads to an efficient calculating with this \(B\)-spline approach. In this paper, convexity conditions for Powell-Sabin splines are derived. For a given set of scattered data, a surface fitting algorithm using convex splines on triangulations is presented. Numerical examples of surface fitting are given.
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numerical examples
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Powell-Sabin splines
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\(B\)-splines
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Bernstein-Bézier representation
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convexity
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scattered data
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surface fitting algorithm
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convex splines
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