线性奇异混合C-B样条曲线  

Linear singular blending C-B spline curve

作　　者：江平[1] 杭颖[1] 

机构地区：[1]合肥工业大学数学系,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2008年第12期2068-2071,共4页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(60473114);教育部博士点基金资助项目(20070359014);安徽省自然科学基金资助项目(070416273X);安徽省教育厅科技创新团队基金资助项目(2005TD03)

摘　　要：C-B样条曲线具有与B样条曲线同样的一些优点,参数α的引入增强了曲线的控制能力。为了更好地调节自由型曲线,文章运用奇异混合技术将C-B样条曲线与其控制多边形混合,构造了一种新的参数曲线,这种曲线继承了C-B样条曲线的所有优点,并且可以调节曲线在每个控制顶点的线性度,增强了C-B样条曲线的形状控制能力,算法简单,是更为直观方便的造型设计工具。The C-B spline curve has some advantages of the B-spline curves, and the controllability of the curve is enhanced by use of the parameter a. The singular blending technology is used to mix the C-B spline curve and its control polygon, and then a new parameter curve is created. This curve inherites all the advantages of C-B spline curves,and the degree of linearty of the curve at each of the control vertices can be adjusted, thus enhancing the shape-control capability of the C-B spline. Its algorithm is simple,and it is a more convenient design tool.

关 键 词：C-B样条 线性奇异混合 线性奇异混合C-B样条 

分 类 号：O241.5[理学—计算数学]