图学学报
• 计算机辅助几何设计 • 上一篇 下一篇
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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
朱朝艳, 陈小雕. B样条曲线的等距算法及应用[J]. 图学学报.
ZHU Chao-yan, CHEN Xiao-diao. Offset Algorithm and Its Applications of B-Spline Curves[J]. Journal of Graphics.
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http://www.txxb.com.cn/CN/Y2010/V31/I3/94