Bezier三角曲面凸性的证明  

A Proof of Convexity of Bezier Surface over Triangles

作　　者：乔学军[1] 刘蓉[2] 

机构地区：[1]西安建筑科技大学理学院,西安710055 [2]北京服装学院基础课部,北京100029

出　　处：《北京服装学院学报（自然科学版）》2009年第3期55-59,共5页Journal of Beijing Institute of Fashion Technology：Natural Science Edition

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.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 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]