The approximation order of four-point interpolatory curve subdivision (Q651102)
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scientific article; zbMATH DE number 5987769
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The approximation order of four-point interpolatory curve subdivision |
scientific article; zbMATH DE number 5987769 |
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The approximation order of four-point interpolatory curve subdivision (English)
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8 December 2011
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The paper is devoted to a modification of the subdivision scheme of \textit{S. Dubuc} [J. Math. Anal. Appl. 114, 185--204 (1986; Zbl 0615.65005)] for interpolating a sequence of data values of a given function from \(\mathbb R\) to \(\mathbb R^d\) with some \(d\geq 1\). Whereas Dubuc's original scheme only works well if the data points are regularly spaced, this new modified version also converges with a high order in the case of irregularly spaced points.
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interpolatory subdivision
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chordal parameterization
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approximation order
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interpolation
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irregularly spaced points
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