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Convergence of subdivision and degree elevation - MaRDI portal

Convergence of subdivision and degree elevation (Q1895905)

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scientific article; zbMATH DE number 784489
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English
Convergence of subdivision and degree elevation
scientific article; zbMATH DE number 784489

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    Convergence of subdivision and degree elevation (English)
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    21 January 1996
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    The authors present a proof showing that the control polygons generated by subdivision and degree elevation converge to the underlying splines, box-splines, or multivariate Bézier polynomials, respectively. They use Taylor expansion in their demonstration. Some examples for box- and rotational splines are added.
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    convergence
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    control polygons
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    subdivision
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    degree elevation
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    box- splines
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    multivariate Bézier polynomials
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