空间曲线的C-Bézier插值  

C-Bézier curve interpolation for spatial surves

作　　者：汪仁泰[1] 陈建兰[1] 

机构地区：[1]杭州电子工业学院理学院,浙江杭州310037

出　　处：《浙江工业大学学报》2004年第2期225-227,233,共4页Journal of Zhejiang University of Technology

摘　　要：在对C-Bézier基函数及曲线端点特性分析的基础上,构造一条空间的GC2插值条件下的C-Bézier曲线,结果表明C-Bézier曲线是局部存在的,且有一个自由度;增强了C-Bézier曲线的控制及表达曲线形状的能力,并可进一步推广到C-Bézier曲面的造型中。Based on the analysis of C-Bézier basis functions and terminal properties, a 3-dimension C-Bézier curve for given GC^2 interpolation conditions is constructed. Study shows that the solution exists locally and possesses one degree of freedom. 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：空间曲线 C-Bézier插值 曲率法向量 计算机图形学 自由度 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]