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Bezier三角曲面凸性的证明
A Proof of Convexity of Bezier Surface over Triangles
【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.
【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.
【关键词】 Bezier三角曲面;
B-网;
方向导数;
凸性;
【Key words】 Bezier surface over triangles; B-net; direction derivative; convexity;
【Key words】 Bezier surface over triangles; B-net; direction derivative; convexity;
- 【文献出处】 北京服装学院学报(自然科学版) ,Journal of Beijing Institute of Clothing Technology(Natural Science Edition) , 编辑部邮箱 ,2009年03期
- 【分类号】TP391.72
- 【下载频次】94