曲面混合网格优化算法的研究

华南理工大学学报(自然科学版) ›› 2004, Vol. 32 ›› Issue (2): 76-79.

曲面混合网格优化算法的研究

徐勇翟建军陈文亮张胜

南京航空航天大学 CAD／CAM 工程研究中心江苏南京210016

收稿日期:2003-08-29 出版日期:2004-02-20 发布日期:2015-09-07
通信作者: 徐勇（1976－）男硕士生主要从事 CAD／CAPP／CAM／CAE 研究． E-mail:xuyongnuaa＠sina.com
作者简介:徐勇（1976－）男硕士生主要从事 CAD／CAPP／CAM／CAE 研究．

Optimization Algorithm for Hybrid Meshes of Curved Surface

Xu Yong Zhai Jian-jun Chen Wen-liang Zhang Sheng

CAD／CAM Engineering Research CenterNanjing Univ．of Aeronautics and AstronauticsNanjing210016JiangsuChina

Received:2003-08-29 Online:2004-02-20 Published:2015-09-07
Contact: 徐勇（1976－）男硕士生主要从事 CAD／CAPP／CAM／CAE 研究． E-mail:xuyongnuaa＠sina.com
About author:徐勇（1976－）男硕士生主要从事 CAD／CAPP／CAM／CAE 研究．

摘要/Abstract

摘要： 提出一种基于 Laplacian 方程的曲面混合网格优化算法该算法首先对曲面边界进行预处理然后对基于内部结点的网格单元进行调整根据所要求的网格尺寸和精度采用 Laplacian 及优化光顺方法进行网格优化．结果表明该算法可以保证在满足指定精度要求的条件下得到更合理的曲面混合网格取得理想的优化效果．

关键词: 三角形网格, 四边形网格, 网格优化, Laplacian 方程

Abstract: An optimization algorithm for hybrid meshes of curved surface was proposed based on Laplacian function．In this algorithmthe surface boundary was pre-treated firstthen the cell meshes based on interior nodes were re-posited．According to the required size and precision of meshesthe optimization of meshes was carried out by using Laplacian equation and optimization-based smoothing algorithm． Research results show thatby using the algorithmreasonable hybrid meshes of curved surface and per-
fect optimization result can be obtained with desirable precision．

Key words: triangle mesh, quadrilateral mesh, mesh optimization, Laplacian equation

中图分类号:

TP391.72

徐勇, 翟建军, 陈文亮, 等. 曲面混合网格优化算法的研究[J]. 华南理工大学学报(自然科学版), 2004, 32(2): 76-79.

Xu Yong, Zhai Jian-jun, Chen Wen-liang, et al. Optimization Algorithm for Hybrid Meshes of Curved Surface[J]. Journal of South China University of Technology(Natural Science Edition), 2004, 32(2): 76-79.