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面向不规则点消除的四边形网格优化方法

Quadrilateral Mesh Optimization Method for Irregular Node Removal

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【作者】 尚菲菲刘剑飞

【Author】 Shang Feifei;Liu Jianfei;Department of Mechanics and Engineering Science, College of Engineering, Peking University;

【机构】 北京大学工学院力学与工程科学系

【摘要】 为了改善四边形网格的拓扑连接关系,针对Liu等提出的优化方法[1](Liu Jianfei,Sun Shuli,Chen Yongqiang.A new method of quality improvement for quadrilateral mesh based on small polygon reconnection).Acta Mechanica Sinica,2012,28(1):140-145),提出了面向不规则点消除的四边形网格优化方法.首先引入了一个加速策略,使每次操作可以处理的区域更大,从而提高了消除不规则点的能力;其次将方法拓展至曲面网格的优化.数值实验结果表明,该方法既能够大幅度改善ANSYS等数值模拟软件生成的四边形网格,也能进一步提高使用图形学领域方法得出的四边形网格的质量.

【Abstract】 For improving topological connection of quadrilateral mesh, we presented a optimization method based on irregular node removal by upgrading and adapting the method of Liu et al. [1]( Liu Jianfei, Sun Shuli, Chen Yongqiang. A new method of quality improvement for quadrilateral mesh based on small polygon reconnection. Acta Mechanica Sinica, 2012, 28(1): 140-145). First, we used a strategy to speed up the original method, so it is able to treat bigger polygons and is more powerful to remove irregular nodes. Second, we recast the method to the curved surface. The testing results demonstrate that the upgraded method can greatly improve topological connectivity of meshes generated by finite element analysis packages including ANSYS. Meshes generated by the current state of art techniques in computer graphics can also be improved by our method.

【基金】 国家自然科学基金(11172005)
  • 【文献出处】 计算机辅助设计与图形学学报 ,Journal of Computer-Aided Design & Computer Graphics , 编辑部邮箱 ,2017年01期
  • 【分类号】TP391.7
  • 【被引频次】3
  • 【下载频次】144
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