基于曲率调节的二次均匀B样条插值曲线

计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (6): 77-78.

基于曲率调节的二次均匀B样条插值曲线

杨文颖,张先波,李军成,宋来忠

三峡大学理学院，湖北宜昌 443002

收稿日期:2007-06-14 修回日期:2007-09-05 出版日期:2008-02-21 发布日期:2008-02-21
通讯作者: 杨文颖

Quadratic uniform B-spline interpolation curve which based on adjusted curvature

YANG Wen-ying,ZHANG Xian-bo,LI Jun-cheng,SONG Lai-zhong

College of Science，China Three Gorges University，Yichang，Hubei 443002，China

Received:2007-06-14 Revised:2007-09-05 Online:2008-02-21 Published:2008-02-21
Contact: YANG Wen-ying

摘要/Abstract

摘要： 提出了一种二次均匀B样条插值曲线的构造方法，首先给定某一段曲线首点的相对曲率和该段曲线的首端切矢量的方向角，利用二次均匀B样条曲线的端点性质，求出其余各段曲线控制顶点，来生成整条插值曲线。该方法无需做反求运算，不仅保持了B样条曲线的优点，而且可以通过修改曲线首点的相对曲率和该段曲线的首端切矢量的方向角对曲线进行整体调节。

杨文颖,张先波,李军成,宋来忠. 基于曲率调节的二次均匀B样条插值曲线[J]. 计算机工程与应用, 2008, 44(6): 77-78.

YANG Wen-ying,ZHANG Xian-bo,LI Jun-cheng,SONG Lai-zhong. Quadratic uniform B-spline interpolation curve which based on adjusted curvature[J]. Computer Engineering and Applications, 2008, 44(6): 77-78.