Properties of generalized Ball curves and surfaces (Q1181946)
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scientific article; zbMATH DE number 29226
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of generalized Ball curves and surfaces |
scientific article; zbMATH DE number 29226 |
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Properties of generalized Ball curves and surfaces (English)
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27 June 1992
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The authors consider a modification of the usual Bézier form of a polynomial curve or surface. This so-called generalized Ball representation possesses the same shape --- preserving properties of the Bézier form. Another advantage is the simple degree raising and lowering. Corresponding recursive algorithms are included for the curve case as well as for surfaces over triangles. Furthermore it is investigated how any generalized Ball curve can be approximated by one of lower degree, giving precise error bounds.
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degree raising
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degree lowering
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triangular polynomial patch
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Bézier form
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curve
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surface
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Ball representation
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recursive algorithms
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Ball curve
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