| 二元箱样条曲面的凸性和单调性条件 |
| |
| 引用本文： | 赵红星.二元箱样条曲面的凸性和单调性条件[J].航空计算技术,2001,31(3):22-26. |
| |
| 作者姓名： | 赵红星 |
| |
| 作者单位： | 榆林高等专科学校,陕西榆林,719000 |
| |
| 摘 要： | 当方向集为三方向剖分网和四方向剖分网时 ,研究二元箱样条曲面控制点与对应箱样条曲面保形间的关系 ,给出了二元三方向和四方向箱样条曲面在任意方向上单调的充分条件以及凸的Hessian矩阵判别条件。
|
| 关 键 词： | 箱样条 单调性 凸性 |
| 修稿时间： | 2001年7月2日 |
The Montonicity and Convexity of the Bivoriate Box Spline Surfaces |
| |
| ZHAO Hong-xing.The Montonicity and Convexity of the Bivoriate Box Spline Surfaces[J].Aeronautical Computer Technique,2001,31(3):22-26. |
| |
| Authors: | ZHAO Hong-xing |
| |
| Abstract: | The objective of this paper is to study the relationship between properties of the control points of the bivariate box spline surfaces and the monotonicity and convexity of the bivariate box spline surfaces. We give the sufficient conditions of the monotonicity and convexity of the bivariate box spling surfaces on the three and four-directiond meshes . |
| |
| Keywords: | box spline monotonicity convexity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
