G^1连续三角Bézier曲面模型快速生成算法  

G^1-continuous Algorithms of Triangular Mesh Surface

作　　者：孙殿柱[1] 李心成[1] 李延瑞[1] 田中朝[1] 

机构地区：[1]山东理工大学机械工程学院,淄博255091

出　　处：《机械工程学报》2010年第15期125-129,共5页Journal of Mechanical Engineering

基　　金：国家高技术研究发展计划资助项目(863计划;2006AA04Z105)

摘　　要：提出一种由三角网格曲面构造G1连续三角Bézier曲面算法,该算法基于三角网格曲面动态空间索引结构获取网格顶点的局部型面参考数据,根据三角平面片局部型面参考数据构造三次三角Bézier曲面片,将三次三角Bézier曲面片升阶到五次,解决了五次三角Bézier曲面片G1拼接时的约束几何条件冲突问题,生成了整体G1连续的三角Bézier曲面,实例证明算法数据适应性强,可快速准确生成G1连续的三角Bézier曲面。A new G1-continuous algorithm of triangular mesh surface is proposed, which includes four steps：first, the topological structure of the triangular mesh surface is organized by the dynamic spatial index structure; second, triangular patches are obtained based on dynamic spatial index structure, and their geometric characteristics are analyzed; third, surface patches of five degrees are elevated by surface patches of three degrees that are reconstructed by the geometric characteristics of the triangular patches; fourth, Bézier surface is obtained through the G1-continuous of the surface patches of five degrees, and it is proved that it has adaptability and can obtain the G1-continuous Bézier surface fast and efficiently.

关 键 词：三角网格曲面 动态空间索引结构 G1拼接 三角BÉZIER曲面 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]