Degree Reduction for NURBS Symbolic Computation on Curves

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.

• Type: Conference
• Year: 2006
• Where: SMI
• Authors: Xianming Chen, Richard F. Riesenfeld, Elaine Cohen
• Keywords: Nontrivial Symbolic Computation, NURBS-based Geometric Computation, SMI 2006, Symbolic Computation