| Bezier三角曲面凸性的证明 |
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| 引用本文： | 乔学军,刘蓉. Bezier三角曲面凸性的证明[J]. 北京服装学院学报(自然科学版), 2009, 29(3) |
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| 作者姓名： | 乔学军 刘蓉 |
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| 作者单位： | 西安建筑科技大学理学院,西安,710055;北京服装学院基础课部,北京,100029 |
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| 摘 要： | Bezier曲面造型是计算机图形学的重要研究方向,在实际工作中有着非常广泛的应用.讨论了二次及三次Bezier三角曲面凸性的充分必要条件,这些条件对于控制曲面造型中的保凸性有重要意义.
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| 关 键 词： | Bezier三角曲面 B-网 方向导数 凸性 |
A Proof of Convexity of Bezier Surface over Triangles |
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| QIAO Xue-jun,LIU Rong. A Proof of Convexity of Bezier Surface over Triangles[J]. Journal of Beijing Institute of Clothing Technology, 2009, 29(3) |
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| Authors: | QIAO Xue-jun LIU Rong |
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| Affiliation: | QIAO Xue-jun1,LIU Rong2 (1.School of Science,Xi'an University of Architecture & Technology,Xi'an 710055,China,2.Department of Fundamental Courses,Beijing Institute of Fashion Technology,Beijing 100029,China) |
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| Abstract: | Bezier surface modeling is an important part in computer graphics,which has very wide applications.The necessary and sufficient conditions of the convexity of the quadratic and cubic Bezier surfaces on triangular were discussed in this paper.These conditions have high significance in controlling the convexity of surface. |
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| Keywords: | Bezier surface over triangles B-net direction derivative convexity |
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