CGAL 5.6.3 - 2D Conforming Triangulations and Meshes

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Mesh_2/mesh_class.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Constrained_Delaunay_triangulation_2.h>
#include <CGAL/Delaunay_mesher_2.h>
#include <CGAL/Delaunay_mesh_face_base_2.h>
#include <CGAL/Delaunay_mesh_size_criteria_2.h>
#include <iostream>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Triangulation_vertex_base_2<K> Vb;
typedef CGAL::Delaunay_mesh_face_base_2<K> Fb;
typedef CGAL::Triangulation_data_structure_2<Vb, Fb> Tds;
typedef CGAL::Constrained_Delaunay_triangulation_2<K, Tds> CDT;
typedef CGAL::Delaunay_mesh_size_criteria_2<CDT> Criteria;
typedef CGAL::Delaunay_mesher_2<CDT, Criteria> Mesher;
typedef CDT::Vertex_handle Vertex_handle;
typedef CDT::Point Point;
int main()
{
CDT cdt;
Vertex_handle va = cdt.insert(Point(-4,0));
Vertex_handle vb = cdt.insert(Point(0,-1));
Vertex_handle vc = cdt.insert(Point(4,0));
Vertex_handle vd = cdt.insert(Point(0,1));
cdt.insert(Point(2, 0.6));
cdt.insert_constraint(va, vb);
cdt.insert_constraint(vb, vc);
cdt.insert_constraint(vc, vd);
cdt.insert_constraint(vd, va);
std::cout << "Number of vertices: " << cdt.number_of_vertices() << std::endl;
std::cout << "Meshing the triangulation with default criteria..."
<< std::endl;
Mesher mesher(cdt);
mesher.refine_mesh();
std::cout << "Number of vertices: " << cdt.number_of_vertices() << std::endl;
std::cout << "Meshing with new criteria..." << std::endl;
// 0.125 is the default shape bound. It corresponds to abound 20.6 degree.
// 0.5 is the upper bound on the length of the longest edge.
// See reference manual for Delaunay_mesh_size_traits_2<K>.
mesher.set_criteria(Criteria(0.125, 0.5));
mesher.refine_mesh();
std::cout << "Number of vertices: " << cdt.number_of_vertices() << std::endl;
}
CGAL::Constrained_Delaunay_triangulation_2
CGAL::Delaunay_mesh_face_base_2
The class Delaunay_mesh_face_base_2 is a model for the concept DelaunayMeshFaceBase_2.
Definition: Delaunay_mesh_face_base_2.h:29
CGAL::Delaunay_mesh_size_criteria_2
The class Delaunay_mesh_size_criteria_2 is a model for the MeshingCriteria_2 concept.
Definition: Delaunay_mesh_size_criteria_2.h:31
CGAL::Delaunay_mesher_2
This class implements a 2D mesh generator.
Definition: Delaunay_mesher_2.h:45
CGAL::Exact_predicates_inexact_constructions_kernel
CGAL::Triangulation_vertex_base_2