Efficient topology preserving triangular remeshing algorithm with adaptive vertices insertion

Yuanfeng Zhou; Shanshan Gao

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Efficient topology preserving triangular remeshing algorithm with adaptive vertices insertion

机译：具有自适应顶点插入的高效拓扑保留三角重新网格化算法

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摘要

Remeshing is a fundamental problem in 3D modeling and computer aided design. Aiming at the shortcomings of the Euclidean distance measure in CVT method, we present a new topology preserving triangular remeshing algorithm. Two mesh quality measuring criteri-ons are used in the algorithm for determining a new site insertion step: (1) a new mesh error metric; (2) the topology condition of restricted Voronoi cell of each site. While new sites are inserted, a flooding-based remeshing algorithm is called to optimize the location of all sites and achieve the remeshing results iteratively. Experimental results show that the new algorithm can preserve the topology of input mesh efficiently and get remeshing results with good quality than CVT method with Euclidean distance measure.

机译：网格划分是3D建模和计算机辅助设计中的一个基本问题。针对CVT方法中欧几里得距离测度的缺点，提出了一种新的拓扑保留三角重新网格化算法。该算法中使用两个网格质量测量准则来确定新的站点插入步骤：（1）新的网格误差度量；（2）每个站点的受限Voronoi单元的拓扑条件。在插入新站点时，将调用基于泛洪的重新划分算法以优化所有站点的位置并迭代地获得重新划分结果。实验结果表明，与采用欧几里得距离测度的CVT方法相比，新算法可以有效地保留输入网格的拓扑结构，并获得高质量的网格化结果。

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来源
《Applied Mathematical Modelling》 |2016年第10期|5421-5430|共10页
作者
Yuanfeng Zhou; Shanshan Gao;
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作者单位

School of Computer Science and Technology, Shandong University Jinan, China;

Shandong Provincial Key Laboratory of Digital Media Technology Shandong University of Finance and Economics, Jinan, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Triangular mesh; Remeshing; Topology preserving; Flooding;

机译：三角形网格;重新啮合;拓扑保存;洪水;

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Efficient topology preserving triangular remeshing algorithm with adaptive vertices insertion

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