Families of adjoint patches for a Bézier triangular surface (Q1079319)
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scientific article; zbMATH DE number 3963058
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Families of adjoint patches for a Bézier triangular surface |
scientific article; zbMATH DE number 3963058 |
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Families of adjoint patches for a Bézier triangular surface (English)
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1985
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A triangular Bernstein-Bézier patch may be evaluated recursively by the de Casteljau algorithm. This way, a sequence of bivariate polynomials of decreasing degree is formed that all agree at one point. This family of polynomials is called ``adjoint patches''. The paper investigates convexity properties of this family of patches.
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barycentric coordinates
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Bézier net
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envelope
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triangular Bernstein-Bézier patch
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de Casteljau algorithm
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bivariate polynomials
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adjoint patches
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convexity properties
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