| 三角域上的九参B-B插值曲面及其凸性 |
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| 引用本文： | 许有信
,丁金扣.三角域上的九参B-B插值曲面及其凸性[J].南京航空航天大学学报,1989(1). |
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| 作者姓名： | 许有信 丁金扣 |
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| 摘 要： | 对三角域上的Bernstein-Bezier多项式曲面片,本文给出了九参C~1插值的显式表示,并将其代入常庚哲和Davis的凸性定理中,得出了判别凸性的充分必要条件。对已知的插值条件,可不求插值曲面而知其是否凸。此显式格式和判别条件都易于在计算机上实现。
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| 关 键 词： | 计算机辅助设计 凸性 曲面插值 三角域 |
A Nine-Parameter B-B Interpolated Surface over Triangles and Its Convexity |
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| Xu Youxin Ding Jinkou.A Nine-Parameter B-B Interpolated Surface over Triangles and Its Convexity[J].Journal of Nanjing University of Aeronautics & Astronautics,1989(1). |
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| Authors: | Xu Youxin Ding Jinkou |
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| Institution: | Xu Youxin Ding Jinkou |
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| Abstract: | For the Bernstein-Bezier trianglar patchs, an explicit representation of a nine-parameter interpolated surface is given. Combining this representation and the convexity theorem of Chang and Davis, we obtain the necessary and sufficient conditions explicitly for the convexity-of an interpolated surface. Both the explicit representation and the judging conditions can be easily carried out on a computer. |
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| Keywords: | computer aided design convexity surface interpolation triangles |
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