CGAL 4.7 - 3D Mesh Generation: Mesh_3/mesh_polyhedral_domain.cpp

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - 3D Mesh Generation

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Mesh_3/mesh_polyhedral_domain.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Mesh_triangulation_3.h>
#include <CGAL/Mesh_complex_3_in_triangulation_3.h>
#include <CGAL/Mesh_criteria_3.h>
#include <CGAL/Polyhedral_mesh_domain_3.h>
#include <CGAL/make_mesh_3.h>
#include <CGAL/refine_mesh_3.h>
// IO
#include <CGAL/IO/Polyhedron_iostream.h>
// Domain
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Polyhedron_3<K> Polyhedron;
typedef CGAL::Polyhedral_mesh_domain_3<Polyhedron, K> Mesh_domain;
// Triangulation
#ifdef CGAL_CONCURRENT_MESH_3
typedef CGAL::Mesh_triangulation_3<
Mesh_domain,
CGAL::Kernel_traits<Mesh_domain>::Kernel, // Same as sequential
CGAL::Parallel_tag // Tag to activate parallelism
>::type Tr;
#else
typedef CGAL::Mesh_triangulation_3<Mesh_domain>::type Tr;
#endif
typedef CGAL::Mesh_complex_3_in_triangulation_3<Tr> C3t3;
// Criteria
typedef CGAL::Mesh_criteria_3<Tr> Mesh_criteria;
// To avoid verbose function and named parameters call
using namespace CGAL::parameters;
int main()
{
// Create input polyhedron
Polyhedron polyhedron;
std::ifstream input("data/elephant.off");
input >> polyhedron;
// Create domain
Mesh_domain domain(polyhedron);
// Mesh criteria (no cell_size set)
Mesh_criteria criteria(facet_angle=25, facet_size=0.15, facet_distance=0.008,
cell_radius_edge_ratio=3);
// Mesh generation
C3t3 c3t3 = CGAL::make_mesh_3<C3t3>(domain, criteria, no_perturb(), no_exude());
// Output
std::ofstream medit_file("out_1.mesh");
c3t3.output_to_medit(medit_file);
medit_file.close();
// Set tetrahedron size (keep cell_radius_edge_ratio), ignore facets
Mesh_criteria new_criteria(cell_radius_edge_ratio=3, cell_size=0.03);
// Mesh refinement
CGAL::refine_mesh_3(c3t3, domain, new_criteria);
// Output
medit_file.open("out_2.mesh");
c3t3.output_to_medit(medit_file);
return 0;
}