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Constructing piecewise rational curves with Frenet frame continuity - MaRDI portal

Constructing piecewise rational curves with Frenet frame continuity (Q921851)

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scientific article; zbMATH DE number 4166692
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English
Constructing piecewise rational curves with Frenet frame continuity
scientific article; zbMATH DE number 4166692

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    Constructing piecewise rational curves with Frenet frame continuity (English)
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    1990
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    Rational spline functions are represented in a form where numerator and denominator are written as Bernstein-Bézier polynomials. This leads to an algorithm of Casteljau type in which the weights (of the convex combinations) are different at the different stages. Since the formulas for general n are complicated, they are illustrated by several diagrams and figures.
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    piecewise rational curves
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    Frenet frame continuity
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    Casteljau algorithm
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    Rational spline functions
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    Bernstein-Bézier polynomials
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