摘要
基于3次均匀B样条曲线段的端点性质,及其与控制顶点构成的三角形的几何关系,提出了一种插值给定顶点与法向约束的3次均匀B样条曲线构造算法.与以往B样条曲线的顶点法向插值算法不同的是,本算法结合由控制顶点构成的三角形的几何性质求解新添加的控制顶点,可生成严格插值型值点并且在型值点处法向与给定法向无偏移的B样条曲线.
Based on the interesting properties of the endpoints of a uniform cubic B-spline curve segment,as well as the geometric characteristics of the triangle composed of control vertices,we propose a novel constructive method for generating a uniform cubic B-spline curve which interpolates a set of given date points simultaneously with normal constraints.Compared with the previous methods,our approach builds the appropriate control polygon without solving complex equcstions,and the curve generated by our approach is an exact interpolation of these constrains.
出处
《浙江大学学报（理学版）》
CAS
CSCD
2014年第6期619-623,共5页
Journal of Zhejiang University（Science Edition）
基金
国家自然科学基金资助项目(61272309
61472366)
关键词
B样条曲线
插值
顶点法向插值
B-spline curves
interpolation
point-normal interpolation
