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

CGAL 4.3 - 3D Mesh Generation

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Mesh_3/mesh_polyhedral_implicit_function.cpp
//******************************************************************************
// File Description :
//
//******************************************************************************
#include <CGAL/AABB_intersections.h>
#include <debug.h>
#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/Mesh_3/Labeled_mesh_domain_3.h>
#include <CGAL/Mesh_3/polyhedral_to_labeled_function_wrapper.h>
#include <CGAL/make_mesh_3.h>
// IO
#include <CGAL/IO/Polyhedron_iostream.h>
#include <CGAL/IO/File_medit.h>
// Domain
struct K: public CGAL::Exact_predicates_inexact_constructions_kernel {};
typedef CGAL::Polyhedron_3<K> Polyhedron;
typedef CGAL::Mesh_3::Polyhedral_to_labeled_function_wrapper<Polyhedron, K> Polyhedral_wrapper;
typedef CGAL::Mesh_3::Labeled_mesh_domain_3<Polyhedral_wrapper, K> Mesh_domain;
// Triangulation
typedef CGAL::Mesh_triangulation_3<Mesh_domain>::type Tr;
typedef CGAL::Mesh_complex_3_in_triangulation_3<Tr> C3t3;
// Mesh Criteria
typedef CGAL::Mesh_criteria_3<Tr> Mesh_criteria;
typedef Mesh_criteria::Facet_criteria Facet_criteria;
typedef Mesh_criteria::Cell_criteria Cell_criteria;
int main()
{
// Create and fill polyhedron
Polyhedron polyhedron;
std::ifstream input("data/elephant.off");
input >> polyhedron;
input.close();
// Implicit function built by AABB_tree projection queries
Polyhedral_wrapper polyhedral_wrapper(polyhedron, 3, 0.01, -0.01);
Mesh_domain domain(polyhedral_wrapper, polyhedral_wrapper.bounding_sphere(), 1e-4);
// Set mesh criteria
Facet_criteria facet_criteria(20, 5, 0.002); // angle, size, approximation
Cell_criteria cell_criteria(4, 0.05); // radius-edge ratio, size
Mesh_criteria criteria(facet_criteria, cell_criteria);
// Mesh generation
C3t3 c3t3 = CGAL::make_mesh_3<C3t3>(domain, criteria);
// Output
std::ofstream medit_file("out.mesh");
CGAL::output_to_medit(medit_file, c3t3);
return 0;
}