Bezier曲面的G^1连续光滑拼接及其OpenGL仿真  

G^1—Smoothing of Beizer Surfaces And Its Simulation by OpenGL

作　　者：赵保春[1] 王永章[1] 富宏亚[1] 

机构地区：[1]哈尔滨工业大学机电学院数控缠绕机研究所,黑龙江哈尔滨150001

出　　处：《机械工程师》2003年第8期49-51,共3页Mechanical Engineer

摘　　要：用多片低阶Bezier曲面逼近一复杂曲面时,在曲面边界会产生不连续的问题。文中介绍了两个Bezier曲面边界G1连续的条件,研究了4个Bezier曲面沿边界G1连续时,边界处及公共顶点须满足的条件,并通过计算机编程控制OpenGL这一三维图形接口把曲面的拼接仿真出来。Continuity problem will appear at the bounderies of the surfaces when using lower degree Bezier surfaces to ap proximate a given surface.In this paper,G 1 continuity between two adjacent Bezier surfaces is analyzed.Then a method is presented to research the suited condition of G 1 continuity for the boundaries and the crossing point of four adjacent Bezier surface patches.Moreover the smooth connecting of surface patches is simulated by OpenGL controlled with computer programme .

关 键 词：BEZIER曲面 G^1连续光滑拼接 OPENGL 仿真 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]