几何自适应参数曲面网格生成  

Geometry-Based Adaptive Parametric Surface Mesh Generation

作　　者：梁义[1,2] 陈建军[1,2,3] 陈立岗[1,2] 郑耀[1,2,3] 

机构地区：[1]浙江大学工程与科学计算研究中心,杭州310027 [2]浙江大学计算机科学与技术学院,杭州310027 [3]浙江大学航空航天学院,杭州310027

出　　处：《计算机辅助设计与图形学学报》2010年第2期327-335,共9页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金(10872182);浙江省自然科学基金(Y607429);中央高校基本科研业务费专项基金(KYJD09009)

摘　　要：为满足有限元分析的需要,针对参数曲面提出一种几何自适应的网格生成方法.通过黎曼度量控制下的曲面约束Delaunay三角化获得曲面中轴,将其用于自动识别曲面邻近特征,并通过曲率计算自动识别曲率特征;根据邻近特征和曲率特征,融合传统网格尺寸控制技术控制边界曲线离散,并创建密度场;结合映射法和前沿推进技术对组合参数曲面生成几何自适应的网格.实验结果表明,该方法能够处理复杂的几何外形,生成的网格具有很好的自适应效果和质量.To satisfy the requirement of finite element analysis, a geometry adaptive mesh generation approach is proposed for parametric surface. Based on constrained Delaunay triangulation under Riemannian metric context, the new approach could capture the proximity between vertices and curves from surface boundary. Together with curvature and other traditional size control strategies, the proximity is used to control the discretization of surface boundary and construct the mesh size field. An advancing front technique based on mapping transformation is then adopted to discretize the surface. Experiments on complex industrial models show that this approach is efficient to generate high-quality adaptive surface mesh based on geometric features.

关 键 词：曲面网格生成 自适应 DELAUNAY三角化 黎曼度量 中轴 

分 类 号：O242.21[理学—计算数学]