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.
出处
《计算机工程与应用》
CSCD
北大核心
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)。
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
quadratic uniform B-spline curve
data points
control points
relative curvature
interpolation
