摘要
以二元四次多项式在三角域和矩形域上的Bézier形式的Blossom为工具,给出了当给定一张三向四次箱样条曲面时,能与之C0、C1、C2拼接的三边或矩形Bézier曲面的控制顶点所要满足的一个显式表示的充分条件。这一结果在使用三向四次箱样条曲面或Loop细分曲面造型,而又需要构造Bézier曲面与之拼接或补洞时,具有理论和实际应用价值。
Using bivariate quartic polynomial＇ s Blossom over triangular and rectangular domains, when a 3-direction quartic box spline surface is given, in order to make triangular or rectangular B6zier surface to be C^0, C^1, C^2 connected with it , one kind of explicit sufficient condition of the B6zier surface＇ s control points which should be subjected is discussed. When geometric modeling with 3-direction quartic box spline surface or Loop subdivision surface, this conclusion is valuable for making Bdzier surface to be smooth connected with the modeling surface or to fill holes.
出处
《计算机工程与应用》
CSCD
2013年第23期119-121,126,共4页
Computer Engineering and Applications
基金
国家自然科学基金数学天元基金项目(No.11026076)
安徽大学博士科研经费项目(No.31190016)
安徽大学本科生科研训练计划(No.KYXL20110003)
