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计算机工程 ›› 2012, Vol. 38 ›› Issue (08): 242-245. doi: 10.3969/j.issn.1000-3428.2012.08.078

• 开发研究与设计技术 • 上一篇    下一篇

基于曲面拟合的三角形网格简化

佟玉斌 1,2,王 辉 1   

  1. (1. 华中科技大学材料成形与模具技术国家重点实验室,武汉 430074;2. 烟台职业学院机械工程系,山东 烟台 264670)
  • 收稿日期:2011-05-09 出版日期:2012-04-20 发布日期:2012-04-20
  • 作者简介:佟玉斌(1963-),男,副教授、硕士,主研方向:模具CAD/CAE/CAM技术;王 辉,博士研究生
  • 基金资助:
    山东省高等学校科技计划基金资助项目(J10LD69)

Triangular Mesh Simplification Based on Surface Fitting

TONG Yu-bin 1,2, WANG Hui 1   

  1. (1. State Key Laboratory of Plastic Forming Simulation and Die & Mould Technology, Huazhong University of Science and Technology, Wuhan 430074, China; 2. Department of Mechanical Engineering, Yantai Vocational College, Yantai 264670, China)
  • Received:2011-05-09 Online:2012-04-20 Published:2012-04-20

摘要: 针对有限元网格简化问题,将边折叠和三角形折叠算法相结合,提出一种基于曲面拟合的网格简化方法。根据节点离散度识别网格特征,对具有不同特征的部位采用不同的简化策略从而实现自适应变密度网格简化。按长高比最优原则对合并后的节点进行预测,运用曲面拟合技术最终确定合并后的节点,达到优化网格和保持网格特征的目的。实验结果证明,该方法能在保证网格质量的前提下有效简化网格模型,提高CAE分析速度,最多可缩短75%的计算时间。

关键词: 计算机辅助工程, 三角形网格, 折叠, 曲面拟合, 网格简化

Abstract: A triangular mesh simplification algorithm is proposed for the mesh simplification in Computer-aided Engineering(CAE) computation. In this algorithm, mesh is simplified by edge collapses and triangle collapses, and different simplifying schemes are adopted to gain adaptive Level-of-Detail(LOD) mesh according to geometric features of mesh recognized by the node discrete degree. During the simplification, in order to optimize mesh and preserve features the goal points in collapse are predicted by optimizing the triangular elements’ aspect ratio and lastly extracted by fitting surfaces around. It is proved that this algorithm can simplify mesh efficiently, and reduce the computation time up to 75%.

Key words: Computer-aided Engineering(CAE), triangular mesh, collapsing, surface fitting, mesh simplification

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