A discrete methodology for controlling the sign of curvature and torsion for NURBS (Q1034747)
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scientific article; zbMATH DE number 5627066
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A discrete methodology for controlling the sign of curvature and torsion for NURBS |
scientific article; zbMATH DE number 5627066 |
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A discrete methodology for controlling the sign of curvature and torsion for NURBS (English)
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6 November 2009
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The paper aims to quantify the dependence of sign of curvature and torsion of planar and spatial nonuniform rational B-splines (NURBS), respectively, on the control points appearing in the NURBS representation. Combining NURBS basis properties with previous work of the authors, the present methodology provides a monotonic sequence of convex polyhedra converging from the interior to the feasibility domain. For non-empty convex domains, a discrete algorithm is presented and illustrated for a pair of planar and a spatial Bézier configuration.
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curvature
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torsion
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numerical examples
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algorithm
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Bézier configuration
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