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孙岩, 邓学霖, 何良莉, 姚海艳. 界面离散网格点数据重规整化方法[J]. 计算机辅助设计与图形学学报, 2022, 34(5): 804-810. DOI: 10.3724/SP.J.1089.2022.19003
引用本文: 孙岩, 邓学霖, 何良莉, 姚海艳. 界面离散网格点数据重规整化方法[J]. 计算机辅助设计与图形学学报, 2022, 34(5): 804-810. DOI: 10.3724/SP.J.1089.2022.19003
Sun Yan, Deng Xuelin, He Liangli, Yao Haiyan. Regularization Method for Discrete Mesh Points[J]. Journal of Computer-Aided Design & Computer Graphics, 2022, 34(5): 804-810. DOI: 10.3724/SP.J.1089.2022.19003
Citation: Sun Yan, Deng Xuelin, He Liangli, Yao Haiyan. Regularization Method for Discrete Mesh Points[J]. Journal of Computer-Aided Design & Computer Graphics, 2022, 34(5): 804-810. DOI: 10.3724/SP.J.1089.2022.19003

界面离散网格点数据重规整化方法

Regularization Method for Discrete Mesh Points

  • 摘要: 针对界面网格数据结构化排序过程中出现的网格点连接关系混乱问题,提出一种基于二叉树结构的离散网格点重规整化方法.首先,详细介绍方法的整体思路,即利用二叉树结构与结构化网格数据之间的单一映射关系,通过构建二叉树结构模型,重构网格的行列特征信息,实现网格点的结构化排序;然后,通过网格点分类、根节点选择、子节点添加,创建网格点数据的二叉树模型;最后,逐层遍历二叉树模型,获得排序后的网格点.基于不同外形、规模和排序网格算例的数值实验结果表明,所提方法具有良好的适应性和较高的鲁棒性,且在工程常用规模界面网格数据结构化排序中也具有十分优异的算法效率.

     

    Abstract: A regularization method for discrete mesh points based on binary tree structure is presented to solve the link chaos between mesh points in the structured sorting of the interface mesh. Firstly, the idea of the present regularization method is introduced in detail. The present method is based on the one-to-one mapping relationship between the binary tree structure and the structured mesh data and reconstructs the row and column information as well as obtains the structured sorting of mesh points by creating the binary tree model of the mesh data. Then, the detailed procedure of regularizing the binary tree model is described, including mesh point classification, root node creation, child nodes addition and so on. Finally, the binary tree model is traversed layer by layer to obtain the sorted structured mesh points. The numerical experimental results on mesh data with different configurations, sizes and ranks show that the present regularization method has good adaptability and high robustness. Moreover, the method also indicates excellent efficiency in the structured sorting of interface mesh used in industrial cases.

     

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