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- W2042256210 abstract "This paper studies symbolic perturbation schemes in the context of Delaunay meshing in the three-dimensional space. Symbolic perturbation is a general and powerful technique for removing geometric degeneracy. However, a straightforward application of this technique to Delaunay meshing does not work well, because the perturbation generates volume-zero tetrahedra, called slivers, which should not appear in meshes for the finite element method. First we characterize the set of directions in which a point can be perturbed without generating slivers. Next, as an application of this characterization, we construct a graph-theoretic method for finding a sliver-free perturbation. We also show that an ordinary symbolic perturbation cannot avoid slivers for integer-grid points, and point out that there is a generalized type of perturbation that can avoid slivers completely." @default.
- W2042256210 created "2016-06-24" @default.
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- W2042256210 date "2007-02-01" @default.
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- W2042256210 title "Sliver-free perturbation for the Delaunay tetrahedrization" @default.
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- W2042256210 doi "https://doi.org/10.1016/j.cad.2006.10.002" @default.
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