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Shape preserving \(HC^2\) interpolatory subdivision - MaRDI portal

Shape preserving \(HC^2\) interpolatory subdivision (Q747648)

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scientific article; zbMATH DE number 6495660
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Shape preserving \(HC^2\) interpolatory subdivision
scientific article; zbMATH DE number 6495660

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    Shape preserving \(HC^2\) interpolatory subdivision (English)
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    19 October 2015
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    Shape preserving and twice differentiable interpolants are sought for provided univariate data; in the main results of this paper in the fourth section, the authors show that they can be computed by a subdivision scheme which is nonuniform and nonstationary. The shape parameters of the scheme which generates a piecewise polynomial (spline) of degree five are chosen explicitly and automatically. Several numerical examples are provided for this.
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    subdivision
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    Hermite interpolation
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    shape preservation
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    Bézier form
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    numerical example
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