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Analysis of quasi-uniform subdivision. - MaRDI portal

Analysis of quasi-uniform subdivision. (Q1406572)

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scientific article; zbMATH DE number 1975006
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Analysis of quasi-uniform subdivision.
scientific article; zbMATH DE number 1975006

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    Analysis of quasi-uniform subdivision. (English)
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    4 September 2003
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    The authors study the smoothness of quasi-uniform bivariate subdivision and derive a sufficient condition for \(C^m\) continuity of the limit function. They also relate the Hölder exponent of \(m\)th order derivatives to the joint spectral radius. A so called ``tri-quad'' scheme is presented and is shown to be \(C^2\).
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    quasi-uniform bivariate subdivision
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    \(C^m\) continuity
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    Hölder exponent
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    tri-quad scheme
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