基于曲率调节的二次均匀B样条插值曲线  

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

作　　者：杨文颖[1] 张先波[1] 李军成[1] 宋来忠[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《计算机工程与应用》2008年第6期77-78,205,共3页Computer Engineering and Applications

基　　金：湖北省教育厅自然科学重点科研基金资助(No.D200613009)。

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。A method of construct a quadratic uniform B-spline curve through data points is given.If the relative curvature of a certain curve on the first control point and the direction angle of the first port＇s tangent vector is given, here can get the whole curve by using the character of the port of quadratic uniform B-spline curve.This method doesn＇t need reverse calculating,the shape can be changed to satisfy the condition.

关 键 词：二次均匀B样条曲线 型值点 控制顶点 相对曲率 插值 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]