C-B样条曲线的分割和拼接  

Arbitrary Subdivision Algorithm and Joining of C-B-Spline

作　　者：宋丽平[1] 

机构地区：[1]西安工业大学北方信息工程学院,陕西西安710025

出　　处：《计算机技术与发展》2011年第9期114-117,共4页Computer Technology and Development

基　　金：陕西省教育厅项目(2010JK588)

摘　　要：曲线曲面造型中设计复杂的自由曲线时,单段曲线已不能满足外形设计的要求,因而在实际造型中,经常采用曲线的分割和拼接。C-B样条理论是曲线曲面造型的一项重要内容。在对C-B样条基函数及曲线端点特性分析的基础上,提出了C-B样条曲线的任意分割算法,并对C-B样条曲线间进行了G1拼接,给出了B样条曲线和C-B样条曲线G1和G2光滑拼接的几何条件。采用分割和拼接技术会增加C-B样条曲线的灵活性,所得结论具有明确的几何意义,并可以进一步推广到C-B样条曲面造型中。The single curve already can＇t satisfy the requirements of shape design when designing complex free curve in curve/surface modeling.Thus in the actual modeling,C-B-spline theory is an important content of curve/surface modeling.Propose the algorithm of arbitrarily divided when analysing C-B-spline basis functions,then splicing between two C-B-spline.In addition,give geometry conditions about B-spline curves and C-B-spline curves.The results are benefit for the shape modification,and they can also be extended to surface modeling with C-B-spline.

关 键 词：C-B样条 均匀B样条 分割 拼接 曲率连续 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]