articleACM Transactions on Mathematical SoftwareFeb 4, 2015Closed access

TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator

Weierstrass Institute for Applied Analysis and Stochastics

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Abstract

TetGen is a C++ program for generating good quality tetrahedral meshes aimed to support numerical methods and scientific computing. The problem of quality tetrahedral mesh generation is challenged by many theoretical and practical issues. TetGen uses Delaunay-based algorithms which have theoretical guarantee of correctness. It can robustly handle arbitrary complex 3D geometries and is fast in practice. The source code of TetGen is freely available. This article presents the essential algorithms and techniques used to develop TetGen. The intended audience are researchers or developers in mesh generation or other related areas. It describes the key software components of TetGen, including an efficient…

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Topics & keywords

Keywords
  • Delaunay triangulation
  • Ruppert's algorithm
  • Chew's second algorithm
  • Computer science
  • Mesh generation
  • Bowyer–Watson algorithm
  • Algorithm
  • Generator (circuit theory)
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