| 矩形域上B－B曲面的凸性与强凸自然网的升阶不变性 |
| |
| 引用本文： | 丁友东.矩形域上B－B曲面的凸性与强凸自然网的升阶不变性[J].中国科学技术大学学报,1994(2). |
| |
| 作者姓名： | 丁友东 |
| |
| 基金项目： | 国家自然科学基金,博士点基金 |
| |
| 摘 要： | 矩形域上Ｂｅｒｎｓｔｅｉｎ－Ｂｅｚｉｅｒ曲面（简称Ｂ－Ｂ曲面）的凸性问题是ＣＡＧＤ（计算机辅助几何设计）中人们关注的热点之一．曲面的凸性与它的控制网的凸性有密切的关系，但是在矩形域上其Ｂ－网该如何定义一直得不到很好的解决．本文提出了一种新的网──自然网的概念，并且证明了强凸的自然网具有升阶不变性．
|
| 关 键 词： | B－B曲面，自然网，升阶不变性 |
The Convexity of the B-B Surface Over Rectangle and theInvariance of Degree Elevation for Strongly Convex Net |
| |
| Ding Youdong.The Convexity of the B-B Surface Over Rectangle and theInvariance of Degree Elevation for Strongly Convex Net[J].Journal of University of Science and Technology of China,1994(2). |
| |
| Authors: | Ding Youdong |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | The problem of the convexity of the Bernstein-Bezier surface is one of the major comcernsin Computer Aided Geometric Design. The Convexity of the B-B surface is closely related to its controlnet, but how to define the B-net for the B-B surface over a rectangle has not been solved well. In thispaper, a concept of a natural net is presented and it is proved that a natural net with strong convexityis capable of in variance of the degree elevation. |
| |
| Keywords: | B-B surface natural net invariance of degree elevation |
| 本文献已被 CNKI 等数据库收录！ |
