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    Obtuse triangle suppression in anisotropic meshes

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    Type
    Article
    Authors
    Sun, Feng
    Choi, Yi King
    Wang, Wen Ping
    Yan, Dongming cc
    Liu, Yang
    Lévy, Bruno L.
    KAUST Department
    Visual Computing Center (VCC)
    Date
    2011-12
    Permanent link to this record
    http://hdl.handle.net/10754/561945
    
    Metadata
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    Abstract
    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.2011.09.007
    Sponsors
    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 BV
    Journal
    Computer Aided Geometric Design
    DOI
    10.1016/j.cagd.2011.09.007
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cagd.2011.09.007
    Scopus Count
    Collections
    Articles; Visual Computing Center (VCC)

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