CGALmesh

Author:

Jamin Clément1,Alliez Pierre2,Yvinec Mariette2,Boissonnat Jean-Daniel2

Affiliation:

1. Inria and Université, Lyon 1, LIRIS, UMR5205, Sophia Antipolis, France

2. Inria, Sophia Antipolis, France

Abstract

CGALmesh is the mesh generation software package of the Computational Geometry Algorithm Library (CGAL). It generates isotropic simplicial meshes—surface triangular meshes or volume tetrahedral meshes—from input surfaces, 3D domains, and 3D multidomains, with or without sharp features. The underlying meshing algorithm relies on restricted Delaunay triangulations to approximate domains and surfaces and on Delaunay refinement to ensure both approximation accuracy and mesh quality. CGALmesh provides guarantees on approximation quality and on the size and shape of the mesh elements. It provides four optional mesh optimization algorithms to further improve the mesh quality. A distinctive property of CGALmesh is its high flexibility with respect to the input domain representation. Such a flexibility is achieved through a careful software design, gathering into a single abstract concept, denoted by the oracle, all required interface features between the meshing engine and the input domain. We already provide oracles for domains defined by polyhedral and implicit surfaces.

Funder

European Research Council

Inria Technology Transfer and Innovation

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Reference57 articles.

1. Variational tetrahedral meshing

2. P. Alliez L. Rineau S. Tayeb J. Tournois and M. Yvinec. 2013a. 3D mesh generation. In CGAL User and Reference Manual. CGAL Editorial Board 4.2 edition. Retrieved from http://www.cgal.org/Manual/latest/doc_html/cgal_manual/packages.ht ml#Pkg:Mesh_3. P. Alliez L. Rineau S. Tayeb J. Tournois and M. Yvinec. 2013a. 3D mesh generation. In CGAL User and Reference Manual. CGAL Editorial Board 4.2 edition. Retrieved from http://www.cgal.org/Manual/latest/doc_html/cgal_manual/packages.ht ml#Pkg:Mesh_3.

3. P. Alliez L. Saboret and G. Guennebaud. 2013b. Surface reconstruction from point sets. In CGAL User and Reference Manual. CGAL Editorial Board 4.2 edition. P. Alliez L. Saboret and G. Guennebaud. 2013b. Surface reconstruction from point sets. In CGAL User and Reference Manual. CGAL Editorial Board 4.2 edition.

4. P. Alliez S. Tayeb and C. Wormser. 2013c. 3D fast intersection and distance computation (AABB Tree). In CGAL User and Reference Manual. CGAL Editorial Board 4.2 edition. http://www.cgal.org/Manual/latest/doc_html/cgal_manual/packages.html#Pkg:AABB_tree. P. Alliez S. Tayeb and C. Wormser. 2013c. 3D fast intersection and distance computation (AABB Tree). In CGAL User and Reference Manual. CGAL Editorial Board 4.2 edition. http://www.cgal.org/Manual/latest/doc_html/cgal_manual/packages.html#Pkg:AABB_tree.

5. Surface reconstruction by Voronoi filtering

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