| 组合广义Ball曲线的G2Beta约束 |
| |
| 引用本文： | 昌侃,黄有度,葛传丰. 组合广义Ball曲线的G2Beta约束[J]. 合肥工业大学学报(自然科学版), 2009, 32(4) |
| |
| 作者姓名： | 昌侃 黄有度 葛传丰 |
| |
| 作者单位： | 合肥工业大学,数学系,安徽,合肥,230009;合肥工业大学,数学系,安徽,合肥,230009;合肥工业大学,数学系,安徽,合肥,230009 |
| |
| 摘 要： | 文章根据Beta约束和几何连续性的概念,推导出了组合n次广义Ball曲线G2连续的Beta约束条件,并给出了详细的构造过程.所构造的曲线段与已知曲线在公共点是G2连续的,且能通过调整形状参数来局部调节曲线段的形状.给出的数值实例表明,构造过程简便灵活,可以满足不同的设计要求.
|
| 关 键 词： | 广义Ball曲线 Beta约束 G2几何连续 |
G~2 Beta constraint of generalized Ball curves |
| |
| CHANG Kan,HUANG You-du,GE Chuan-feng. G~2 Beta constraint of generalized Ball curves[J]. Journal of Hefei University of Technology(Natural Science), 2009, 32(4) |
| |
| Authors: | CHANG Kan HUANG You-du GE Chuan-feng |
| |
| Affiliation: | Dept.of Mathematics;Hefei University of Technology;Hefei 230009;China |
| |
| Abstract: | In this paper,the G2 continuing Beta constraint conditions and detailed constructing process of generalized Ball curves of arbitrary degree are given on the basis of the conception of Beta constraint and geometric continuity.The constructed curve based on this method is G2 continuous in the common points with the given curve.The shape of the curve can be locally adjusted by shape parameters,and numerical examples are presented to verify the results.The constructing process is easy and flexible and can meet ... |
| |
| Keywords: | generalized Ball curve Beta constraint G2continuity |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
