Hexahedral mesh re-parameterization from aligned base-complex
Hexahedral mesh re-parameterization from aligned base-complex
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DOI：
10.1145/2766941
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发表时间：
2015-07
期刊：
影响因子：
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通讯作者：
Xifeng Gao;Z. Deng;Guoning Chen
中科院分区：
文献类型：
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作者：
Xifeng Gao;Z. Deng;Guoning Chen
最近，生成给定体积的高质量全六边形网格得到了广泛的关注。然而，很少，如果有的话，努力已经投入到优化的六边形网格结构，这是同样重要的局部元素质量的六边形网格，可能会影响性能和精度的后续计算。在本文中，我们提出了第一个和完整的管道优化的全局结构的六边形网格。具体来说，我们首先提取的基础复杂的六角形网格和研究其奇异性之间的错位适应以前介绍的六面体片的基础复杂。其次，我们确定了有效的去除基复合片从基复合体，包含错位奇点。然后，我们提出了一个有效的算法来删除这些有效的删除表的顺序。最后，我们提出了一个结构感知的优化策略，以提高几何质量的六角形网格后，固定的错位。我们的实验结果表明，我们的管道可以显着减少的组件的数量的各种六角形网格生成的最先进的方法，同时保持高的几何质量。
Recently, generating a high quality all-hex mesh of a given volume has gained much attention. However, little, if any, effort has been put into the optimization of the hex-mesh structure, which is equally important to the local element quality of a hex-mesh that may influence the performance and accuracy of subsequent computations. In this paper, we present a first and complete pipeline to optimize the global structure of a hex-mesh. Specifically, we first extract the base-complex of a hex-mesh and study the misalignments among its singularities by adapting the previously introduced hexahedral sheets to the base-complex. Second, we identify the valid removal base-complex sheets from the base-complex that contain misaligned singularities. We then propose an effective algorithm to remove these valid removal sheets in order. Finally, we present a structure-aware optimization strategy to improve the geometric quality of the resulting hex-mesh after fixing the misalignments. Our experimental results demonstrate that our pipeline can significantly reduce the number of components of a variety of hex-meshes generated by state-of-the-art methods, while maintaining high geometric quality.