C-Bézier曲线分割算法及G^1拼接条件  

Subdivision Algorithm and G^1 Condition for C-Bézier Curves

作　　者：樊建华[1,2] 邬义杰[1,2] 林兴[1,2] 

机构地区：[1]浙江大学CAD&CG国家重点实验室,杭州310027 [2]浙江大学机械与能源工程学院,杭州310027

出　　处：《计算机辅助设计与图形学学报》2002年第5期421-424,共4页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金 (60 0 73 0 2 5 )资助 .

摘　　要：在对 C- Bézier基函数及曲线端点特性分析的基础上 ,提出 C- Bézier曲线任意分割算法及曲线间 G1拼接的几何条件 .所得结论具有明确的几何意义 ,有效地增强了 C- Bézier方法控制及表达曲线形状的能力 ,并可进一步推广到 C-C Bézier curves are an extension of cubic Bézier curves. In addition to having many properties that Bézier curves have, they have the adjustable shape parameter α , and can represent arcs precisely. This paper presents the subdivision algorithm and G 1 condition of C Bézier curves based on the analysis of C Bézier basis functions and terminal properties. The results have definite geometric meanings that are useful for the shape modification and representation of C Bézier curves. The results can also be extended to surface modeling with C Bézier.

关 键 词：几何建模 CAD CAM C-Bezier曲线分割算法 G^1拼接条件 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]