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Degree estimates for \(C^k\)-piecewise polynomial subdivision surfaces - MaRDI portal

Degree estimates for \(C^k\)-piecewise polynomial subdivision surfaces (Q1282331)

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scientific article; zbMATH DE number 1270842
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English
Degree estimates for \(C^k\)-piecewise polynomial subdivision surfaces
scientific article; zbMATH DE number 1270842

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    Degree estimates for \(C^k\)-piecewise polynomial subdivision surfaces (English)
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    30 March 1999
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    The authors consider piecewise polynomial subdivision surfaces, which consist of infinitely many either tri- or quadrilateral patches, but with finitely many irregularities. As a main result, a sharp estimate on the lowest possible degree of the polynomial pieces is given, depending on the smoothness of the underlying subdivision scheme.
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    degree estimates
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    control net
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    piecewise polynomial subdivision surfaces
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