WIAS Preprint No. 1762, (2013)

TetGen, towards a quality tetrahedral mesh generator


  • Si, Hang

2010 Mathematics Subject Classification

  • 65M50 65N50 65D18 68U05 68N99


  • tetrahedral mesh generation, Delaunay tetrahedralization, constrained Delaunay, boundary recovery, mesh refinement, mesh quality, flips, edge removal


TetGen is a C++ program for generating quality tetrahedral meshes aimed to support numerical methods and scientific computing. It is also a research project for studying the underlying mathematical problems and evaluating algorithms. This paper presents the essential meshing components developed in TetGen for robust and efficient software implementation. And it highlights the state-of-the-art algorithms and technologies currently implemented and developed in TetGen for automatic quality tetrahedral mesh generation.

Appeared in

  • ACM Trans. Math. Software, 41 (2015) pp. 11:1--11:36.

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