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37

SMI
2006
IEEE

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Degree Reduction for NURBS Symbolic Computation on Curves

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Degree Reduction for NURBS Symbolic Computation on Curves

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Symbolic computation of NURBS plays an important role in many areas of NURBS-based geometric computation and design. However, any nontrivial symbolic computation, especially when rational B-splines are involved, would typically result in B-splines with high degrees. In this paper we develop degree reduction strategies for NURBS symbolic computation on curves. The speciﬁc topics we consider include zero curvatures and critical curvatures of plane curves, various ruled surfaces related to space curves, and point/curve bisectors and curve/curve bisectors.

Xianming Chen, Richard F. Riesenfeld, Elaine Cohen

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Nontrivial Symbolic Computation | NURBS-based Geometric Computation | SMI 2006 | Symbolic Computation |

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Added	12 Jun 2010
Updated	12 Jun 2010
Type	Conference
Year	2006
Where	SMI
Authors	Xianming Chen, Richard F. Riesenfeld, Elaine Cohen

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