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Approximate conversion of rational B-spline patches - MaRDI portal

Approximate conversion of rational B-spline patches (Q1822885)

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scientific article; zbMATH DE number 4113833
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Approximate conversion of rational B-spline patches
scientific article; zbMATH DE number 4113833

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    Approximate conversion of rational B-spline patches (English)
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    1989
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    A method for approximation of nonuniform rational Bézier and B-spline surface patches by nonuniform integral B-spline patches of lower degree is developed. Global error bounds, necessary in veryfying accurate approximation, are derived. The authors extend the algorithm considered by the second author [Approximate conversion of rational splines, ibid. 6, No.2, 155-165 (1989)] from curves to surfaces. Some examples illustrate the properties and the applications of the method.
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    knot refinement
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    numerical examples
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    nonuniform rational Bézier and B- spline surface patches
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    nonuniform integral B-spline patches
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    error bounds
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