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    Optimal Tetrahedralization for Small Polyhedron: A New Local Transformation Strategy for 3-D Mesh Generation and Mesh Improvement

    Liu Jianfei1,2, Sun Shuli1,3, Wang Dachuan1

    CMES-Computer Modeling in Engineering & Sciences, Vol.14, No.1, pp. 31-44, 2006, DOI:10.3970/cmes.2006.014.031

    Abstract Local transformation, or topological re-connection, is one of effective procedures of mesh improvement method, especially in three-dimensional situation. The commonly used local transformations for tetrahedral mesh involve changing in mesh topology (i.e. node-element connectivity relationship) within a relatively small region composed of several tetrahedra, such as 2-3 flip, 3-2 flip, 2-2 flip, 4-4 flip, etc. Although these local transformations are easy to implement and effective in removing poorly-shaped tetrahedra, it is still possible to improve the quality of mesh further by expanding the space of transformation region. In this paper, the concept of optimal tetrahedralization forMore >

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