| 参数G2连续保凸插值的充分条件 |
| |
| 引用本文： | 雷开彬,杨珂.参数G2连续保凸插值的充分条件[J].西南民族学院学报(自然科学版),2007,33(3):443-445. |
| |
| 作者姓名： | 雷开彬 杨珂 |
| |
| 作者单位： | 雷开彬（西南民族大学计算机科学与技术学院,四川成都,610041）
杨珂（西南民族大学计算机科学与技术学院,四川成都,610041） |
| |
| 摘 要： | 对给定数据点进行曲线、曲面的保形插值, 是几何外形设计的一个重点和难点问题, 保单调和保凸插值则是保形插值的两个基本问题. 本文讨论了Bezier参数曲线G2连续保凸插值的曲率方程求解问题, 给出了确定参数曲线控制顶点曲率方程存在惟一上界解的充分条件和几何证明. 这种保凸插值曲线的形状可通过曲率因子调整.
|
| 关 键 词： | 保形插值 参数Bezier曲线 几何连续 |
| 文章编号： | 1003-2843(2007)03-0443-03 |
| 修稿时间： | 2006年11月30 |
Sufficient condition of convexity-preserving interpolation with parameter G2-continuity |
| |
| LEI Kai-bin,YANG Ke.Sufficient condition of convexity-preserving interpolation with parameter G2-continuity[J].Journal of Southwest Nationalities College(Natural Science Edition),2007,33(3):443-445. |
| |
| Authors: | LEI Kai-bin YANG Ke |
| |
| Institution: | School of Computer Science and Technology, Southwest University for Nationalities, Chengdu 610041, P. R. C. |
| |
| Abstract: | In geometric shape design, shape-preserving interpolating of curve and surface by given data is an important and difficult subject, and both monotonicity-preserving and convexity-preserving interpolation are two basic problems. In this paper, we discuss solution of curvature equation of convexity preserving interpolation with parameter Bezier curves G2-continuity, and a sufficient condition and geometric proof are given that in curvature equation of controlling vertex exists a unique upper bound solution. Shape of convexity-preserving interpolation curves can be modified by using curvature values. |
| |
| Keywords: | shape-preserving interpolation parameter Bezier curve geometric continuity |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
