Derivatives of rational Bézier curves (Q1195075)
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scientific article; zbMATH DE number 68936
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Derivatives of rational Bézier curves |
scientific article; zbMATH DE number 68936 |
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Derivatives of rational Bézier curves (English)
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13 October 1992
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Given a rational Bézier curve \(P(t)=\Sigma w_ iB_{i,n}P_ i/\Sigma w_ iB_{i,n}\), the author uses the special properties of Bernstein polynomials to give explicit and reasonably simple formulas for tangent and curvature of the curve as well as a simple estimate for \(| P'(t)|\) and related results.
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rational Bézier curve
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Bernstein polynomials
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tangent
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curvature
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