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

CGAL 4.8 - 2D Conforming Triangulations and Meshes

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Mesh_2/mesh_global.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 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..." << std::endl;
CGAL::refine_Delaunay_mesh_2(cdt, Criteria(0.125, 0.5));
std::cout << "Number of vertices: " << cdt.number_of_vertices() << std::endl;
}