Obtuse triangle suppression in anisotropic meshes

Feng Sun, Yi King Choi, Wen Ping Wang, Dongming Yan, Yang Liu, Bruno L. Lévy

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)537-548
Number of pages12
JournalComputer Aided Geometric Design
Issue number9
StatePublished - Dec 2011

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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).

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Graphics and Computer-Aided Design
  • Automotive Engineering
  • Aerospace Engineering


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