CGAL 6.1.1 - 3D Periodic Mesh Generation

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Periodic_3_mesh_3/mesh_implicit_shape_with_subdomains.cpp
#include <CGAL/Periodic_3_mesh_3/config.h>
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Implicit_to_labeled_subdomains_function_wrapper.h>
#include <CGAL/make_periodic_3_mesh_3.h>
#include <CGAL/Periodic_3_mesh_3/IO/File_medit.h>
#include <CGAL/Periodic_3_mesh_triangulation_3.h>
#include <CGAL/Labeled_mesh_domain_3.h>
#include <CGAL/Mesh_criteria_3.h>
#include <CGAL/Mesh_complex_3_in_triangulation_3.h>
#include <CGAL/Mesh_constant_domain_field_3.h>
#include <CGAL/number_type_config.h> // CGAL_PI
#include <cmath>
#include <fstream>
// Kernel
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef K::FT FT;
typedef K::Point_3 Point;
typedef K::Iso_cuboid_3 Iso_cuboid;
// Domain
typedef FT (Function)(const Point&);
typedef CGAL::Implicit_to_labeled_subdomains_function_wrapper<Function, K> Function_wrapper;
typedef CGAL::Labeled_mesh_domain_3<K> Periodic_mesh_domain;
// Triangulation
typedef CGAL::Periodic_3_mesh_triangulation_3<Periodic_mesh_domain>::type Tr;
typedef CGAL::Mesh_complex_3_in_triangulation_3<Tr> C3t3;
// Criteria
typedef CGAL::Mesh_criteria_3<Tr> Periodic_mesh_criteria;
// To avoid verbose function and named parameters call
namespace params = CGAL::parameters;
// Function
FT schwarz_p(const Point& p)
{
const FT x2 = std::cos( p.x() * 2 * CGAL_PI ),
y2 = std::cos( p.y() * 2 * CGAL_PI ),
z2 = std::cos( p.z() * 2 * CGAL_PI );
return x2 + y2 + z2;
}
// This example uses a cell sizing field that depends on the subdomain index
typedef CGAL::Mesh_constant_domain_field_3<Periodic_mesh_domain::R,
Periodic_mesh_domain::Index> Field;
int main(int argc, char** argv)
{
int number_of_copies_in_output = (argc > 1) ? atoi(argv[1]) : 4; // can be 1, 2, 4, or 8
Iso_cuboid canonical_cube(0, 0, 0, 1, 1, 1);
Function_wrapper wrapper(schwarz_p);
Periodic_mesh_domain domain(wrapper, canonical_cube);
// Write the two different sizing fields for cells
int volume_dimension = 3;
Field size(2);
size.set_size(0.1, volume_dimension, domain.index_from_subdomain_index(2)); // exterior
size.set_size(0.03, volume_dimension, domain.index_from_subdomain_index(1)); // interior
Periodic_mesh_criteria criteria(params::facet_angle(30.)
.facet_size(0.05)
.facet_distance(0.025)
.cell_radius_edge_ratio(2.)
.cell_size(size));
// Mesh generation
C3t3 c3t3 = CGAL::make_periodic_3_mesh_3<C3t3>(domain, criteria);
// Output
std::ofstream medit_file("output_implicit_with_subdomains.mesh");
CGAL::IO::output_periodic_mesh_to_medit(medit_file, c3t3, number_of_copies_in_output);
std::cout << "EXIT SUCCESS" << std::endl;
return 0;
}
CGAL::Exact_predicates_inexact_constructions_kernel
CGAL::Implicit_to_labeled_subdomains_function_wrapper
The class Implicit_to_labeled_subdomains_function_wrapper is a helper class designed to wrap an impli...
Definition: Implicit_to_labeled_subdomains_function_wrapper.h:33
CGAL::Labeled_mesh_domain_3
CGAL::Mesh_constant_domain_field_3
CGAL::Mesh_criteria_3
unspecified_type
CGAL::parameters