网格表面和体积与质心Voronoi镶嵌

2011 Eighth International Symposium on Voronoi Diagrams in Science and Engineering Pub Date : 2011-06-28 DOI:10.1109/ISVD.2011.41

B. Lévy

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引用次数: 0

摘要

我们提出了几个质心Voronoi镶嵌的变化。首先，我们回顾了目标函数(量化噪声功率)的稳定临界点的经典定义，然后我们提出了目标函数(各向异性，Lp范数)的一些修改。这种改进的质心Voronoi镶嵌在几何处理中的应用是有用的。因此，我们展示了特征感知的表面网格划分，3D域的六面体主导网格划分以及将细分表面拟合到非结构化三角形集。

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Meshing Surfaces and Volumes with Centroidal Voronoi Tesselations

We present several variations on Centroidal Voronoi Tesselations. First we review the classical definition, as a stable critical point of an objective function (quantization noise power), then we propose some modifications of the objective function (anisotropy, Lp norm). The so-modified Centroidal Voronoi Tesselations are useful for applications in geometry processing. Thus we demonstrate feature-aware surface remeshing, hexaedral-dominant meshing of 3D domains and fitting subdivision surfaces to unstructured triangle sets.

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2011 Eighth International Symposium on Voronoi Diagrams in Science and Engineering

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