摘要
在Bernstein函数类和B啨ｚｉｅｒ曲线类的基础上 ,研究了BBC曲线和附权BBC曲线的表示方法和有关性质 对BBC曲线和附权BBC曲线理论与B啨ｚｉｅｒ曲线的关系剖析表明 :附权BBC曲线不仅是B啨ｚｉｅｒ曲线的推广形式 ,同时该理论蕴涵着系统的B啨ｚｉｅｒ曲线的重新参数化方法 ,对该方法进行了较为详尽的探讨 结果表明 ,运用附权BBC曲线理论实现B啨ｚｉｅｒ曲线的重新参数化的方法具有通用性好和计算简单等优点 。
Based on Bernstein class functions and Bézier class curves, the representation and some properties of Bernstein Bézier class curves and Bernstein Bézier class curves with weighted factors are studied Further research on the relation between Bernstein Bézier class curves with weighted factors and Bézier curves indicates that Bernstein Bézier class curves are the extended forms of Bézier curves At the same time, the theory of Bernstein Bézier class curves can be devoted to a systematical reparametrization method of Bézier curves The method in this sense is discussed in details It is concluded that this method has many advantages in some ways So far, it's the universal one of the reparametrization method of Bézier curves Compared with other methods, this algorithm is very simple
出处
《计算机研究与发展》
EI
CSCD
北大核心
2004年第6期1016-1021,共6页
Journal of Computer Research and Development
基金
国家自然科学基金项目 ( 10 1710 2 6)
