Approximation of a continuous curve by its Bernstein-Bézier operator (Q644594)
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scientific article; zbMATH DE number 5968205
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of a continuous curve by its Bernstein-Bézier operator |
scientific article; zbMATH DE number 5968205 |
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Approximation of a continuous curve by its Bernstein-Bézier operator (English)
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4 November 2011
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Integer and rational parametric Bézier curves and the distance between the curve and its control polygon are studied. The distance is measured using the first and second order moduli of smoothness of vector-valued function. Non-uniform rational B-spline (NURBS) curves with equidistant knots are considered as well. The author presents some direct approximation theorems and open problems.
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integer and rational Bézier curves
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non-uniform rational B-spline curves
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control polygon
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approximation degree
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moduli of continuity
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