Type
ArticleKAUST Department
Visual Computing Center (VCC)Date
2011-12Permanent link to this record
http://hdl.handle.net/10754/561945
Metadata
Show full item recordAbstract
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. © 2011 Elsevier B.V. All rights reserved.Citation
Sun, F., Choi, Y.-K., Wang, W., Yan, D.-M., Liu, Y., & Lévy, B. (2011). Obtuse triangle suppression in anisotropic meshes. Computer Aided Geometric Design, 28(9), 537–548. doi:10.1016/j.cagd.2011.09.007Sponsors
We thank the reviewers for constructive comments. This work is funded in part by the Research Grant Council of Hong Kong (718010 and 718209), the State Key Program of NSFC project of China (60933008) and the European Research Council (GOODSHAPE ERC-2tG-205693).Publisher
Elsevier BVJournal
Computer Aided Geometric Designae974a485f413a2113503eed53cd6c53
10.1016/j.cagd.2011.09.007