Obtuse Triangle Suppression in Anisotropic Meshes

	Obtuse Triangle Suppression in Anisotropic Meshes
	Sun, Feng; Choi, Yi-King; Wang, Wenping; Yan, Dong-Ming; Liu, Yang; Lévy, Bruno
发表期刊	Computer Aided Geometric Design
	2011
卷号	28 期号:9 页码:537-548
摘要	Anisotropic triangle meshes are used for efficient approximation of surfaces and flow data in finite element analysis, and in these applications it is desirable to have as few obtuse triangles as possible to reduce the discretization error. We present a variational approach to suppressing obtuse triangles in anisotropic meshes. Specifically, we introduce a hexagonal Minkowski metric, which is sensitive to triangle orientation, to give a new formulation of the centroidal Voronoi tessellation (CVT) method. Furthermore, we prove several relevant properties of the CVT method with the newly introduced metric. Experiments show that our algorithm produces anisotropic meshes with much fewer obtuse triangles than using existing methods while maintaining mesh anisotropy.
关键词	Hex Metric
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/14012
专题	多模态人工智能系统全国重点实验室_多媒体计算
推荐引用方式 GB/T 7714	Sun, Feng,Choi, Yi-King,Wang, Wenping,et al. Obtuse Triangle Suppression in Anisotropic Meshes[J]. Computer Aided Geometric Design,2011,28(9):537-548.
APA	Sun, Feng,Choi, Yi-King,Wang, Wenping,Yan, Dong-Ming,Liu, Yang,&Lévy, Bruno.(2011).Obtuse Triangle Suppression in Anisotropic Meshes.Computer Aided Geometric Design,28(9),537-548.
MLA	Sun, Feng,et al."Obtuse Triangle Suppression in Anisotropic Meshes".Computer Aided Geometric Design 28.9(2011):537-548.

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