Interleaving Delaunay Refinement and Optimization for Practical Isotropic Tetrahedron Mesh Generation
Jane Tournois, Camille Wormser, Pierre Alliez, Mathieu Desbrun
In ACM Transactions on Graphics, 28(3), July 2009.
Abstract: We present a practical approach to isotropic tetrahedral meshing of 3D domains bounded by piecewise smooth surfaces. Building upon recent theoretical and practical advances, our algorithm interleaves Delaunay refinement and mesh optimization to generate quality meshes that satisfy a set of user-defined criteria. This interleaving is shown to be more conservative in number of Steiner point insertions than refinement alone, and to produce higher quality meshes than optimization alone. A careful treatment of boundaries and their features is presented, offering a versatile framework for designing smoothly graded tetrahedral meshes.
Keyword(s): Delaunay refinement, graded meshing, isotropic meshing, mesh generation, mesh optimization
@article{Tournois:2009:IDR,
author = {Jane Tournois and Camille Wormser and Pierre Alliez and Mathieu Desbrun},
title = {Interleaving Delaunay Refinement and Optimization for Practical Isotropic Tetrahedron Mesh Generation},
journal = {ACM Transactions on Graphics},
volume = {28},
number = {3},
pages = {75:1--75:9},
month = jul,
year = {2009},
}
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