Generalized Bernstein-Bézier curves and surfaces (Q1111317)
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scientific article; zbMATH DE number 4076438
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Bernstein-Bézier curves and surfaces |
scientific article; zbMATH DE number 4076438 |
Statements
Generalized Bernstein-Bézier curves and surfaces (English)
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1988
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A parametric curve and surface is defined by choosing the set of Bernstein polynomials as the collection of blending functions. This curve is a generalization of the Ferguson curve, Bézier curve, B-spline curve, Ball's rational curve and conics. The conditions for various continuities of the curve segments and surfaces patches at the common boundaries are given to maintain a low order composite curve and surface.
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parametric curve and surface
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Bernstein polynomials
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blending functions
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Ferguson curve
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Bézier curve
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B-spline curve
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Ball's rational curve
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conics
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low order composite curve and surface
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