节点文献
三次B样条曲线骨架卷积曲面造型
Convolution Surface Modeling for Cubic B-Spline Skeletons
【摘要】 提出一种基于B样条曲线降阶的三次B样条曲线骨架卷积曲面造型方法.首先通过顶点扰动降阶方法把三次B样条曲线骨架(C1连续)降阶为C1连续的二次B样条,然后应用二次B样条曲线骨架的卷积曲面势函数计算方法得到三次B样条曲线骨架的势函数.
【Abstract】 In this paper we propose a new cubic B-spline skeleton convolution surface modeling method based on curve degree reduction.We first reduce the cubic B-spline curve with C~1 continuity to C~1quadratic B-splines using constrained optimization methods,and then sum the potentials of each quadratic B-spline skeleton to obtain the potential of the whole cubic B-spline skeleton.
【关键词】 卷积曲面;
隐式曲面;
降阶;
几何造型;
【Key words】 convolution surface; implicit surface; degree reduction; geometric modeling;
【Key words】 convolution surface; implicit surface; degree reduction; geometric modeling;
【基金】 浙江省自然科学基金(R105431);霍英东青年教师基金(91069);新世纪优秀人才支持计划(NCET-05-0519)
- 【文献出处】 计算机辅助设计与图形学学报 ,Journal of Computer-Aided Design & Computer Graphics , 编辑部邮箱 ,2006年09期
- 【分类号】TP391.72
- 【被引频次】9
- 【下载频次】209