基于三角函数的Bézier曲面的研究与应用  

Research and application of Bézier curve based on trigonometric function

作　　者：方永锋[1] 邱泽阳[1] 

机构地区：[1]兰州交通大学工业设计研究所,甘肃兰州730030

出　　处：《机械设计》2008年第9期10-12,共3页Journal of Machine Design

基　　金：甘肃省自然科学基金资助项目(0710RJZA051);兰州交通大学首批青蓝人才工程资助项目

摘　　要：用张量积的方法构造了T-Bézier曲面,并证明了其7个性质:角点性质、边界性质、对称性、凸包性质、角点切平面、几何不变性与仿射不变性、控制网格顶点修改性。同时,用T-Bézier曲面精确表示了几类曲面:球面、椭球面等。为工业设计提供了新思路。The T - Bezier curved surface was constructed by the use of tensor-product method and its 7 characters were testified： namely： property of angle point, property of boundary, symmetry, property of convex swelling, geometric invariability and affine invariability of angle point tangential plane and vertex modifying property of controlling grid. Several kinds of curved surfaces such as spherical surface, ellipsoidal surface etc. were accurately expressed by the use of T - Bezier curved surface, thus provided a new train of thought for the industrial design.

关 键 词：三角多项式 BEZIER曲面 曲面性质 曲面表示 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]