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Obtuse Triangle Suppression in Anisotropic Meshes
Sun, Feng; Choi, Yi-King; Wang, Wenping; Yan, Dong-Ming; Liu, Yang; Lévy, Bruno
Source PublicationComputer Aided Geometric Design
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.
KeywordHex Metric
Document Type期刊论文
Recommended Citation
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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