Approximating rational triangular Bézier surfaces by polynomial triangular Bézier surfaces (Q1019799)
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scientific article; zbMATH DE number 5559055
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximating rational triangular Bézier surfaces by polynomial triangular Bézier surfaces |
scientific article; zbMATH DE number 5559055 |
Statements
Approximating rational triangular Bézier surfaces by polynomial triangular Bézier surfaces (English)
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28 May 2009
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A new algorithm for approximating a rational triangular Bézier surface \((\mathbb R)\) by a polynomial triangular Bézier surface \((\mathbb B)\) is given. The derivative vector of an arbitrary degree of \(\mathbb B\) converges uniformly to the corresponding derivative vector of \(\mathbb R\). The approximating method developed, has a theoretical and application value by itself.
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rational triangular Bézier surface
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polynomial triangular Bézier surface
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hybrid algorithm
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degree-elevation
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approximation
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0.97372025
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0.9687116
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0.9191056
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0.91731256
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