欢迎访问《图学学报》 分享到:

图学学报

• 计算机辅助几何设计 • 上一篇    下一篇

B样条曲线的等距算法及应用

  

  • 出版日期:2010-06-30 发布日期:2015-08-11

Offset Algorithm and Its Applications of B-Spline Curves

  • Online:2010-06-30 Published:2015-08-11

摘要: 等距曲线的拓扑结构是等距算法中的核心因素之一。该文以B样条曲线为例,给出了一种基于关键点的等距算法。它应用了自适应离散等手段并给出了关键点的求解方法,同时利用关键点确定等距线各个分段的取舍,从而有效地去除自交的情况,使得计算出的等距曲线有着正确的拓扑结构。该文的算法已应用于商业软件OpenCAD中。

关键词: 计算机应用, 等距算法, 拓扑结构, B样条曲线

Abstract: The proper topology structure is a key factor of the offset algorithm of a curve. An offset algorithm of B-spline curves is presented based on the key points on the offset curve. Firstly, the key points are computed by using self-adaptive sampling technique, then the self-intersected segments are discarded, and the proper topology structure is ensured. The algorithm has been applied in the business software OpenCAD.

Key words: computer application, offset algorithm, topology structure, B-spline curves