A Subdivision Scheme for Approximating Circular Helix with NURBS Curve

摘要：

An initial approximation circular helix with quadratic NURBS curve is represented by combining the algorithm for the planar NURBS circular arc and the height function defined by using the knot insertion and the degree elevation for linear NURBS. For given tolerance, a subdivision scheme based on de Boor algorithm for approximating NURBS helix curve is proposed. The modification subdivision scheme is easy and stabilized for keeping on improvement the approximation value and eliminates the blending algorithm for Bézier segments. Numerical examples are given to illustrate the efficiency of the method.

关键词： Approximation Helix NURBS curves Subdivision

作者: Xiongyin Pu Weijun Liu

作者单位: Modern Equipment Research Design Center Shenyang Institute of Automation, Chinese Academy of Science Modern Equipment Research Design Center Shenyang Institute of Automation, Chinese Academy of Science

会议类型: 国际会议

会议名称: 2009 IEEE 10th International Conference on Computer-Aided Industrial Design & Conceptual Design(2009 IEEE 第十届国际计算机辅助工业设计与概念设计学术会议 CAID&CD2009)

会议地点: 温州

会议语种:英文

页码: 620-624

在线出版日期: 2009-11-26（万方平台首次上网日期，不代表论文的发表时间）