通过CGAL将一个多边形剖分成Delaunay三角网

#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>

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;

//三角化
void GraphicsPainter::Triangulate()
{
    //找到边界上所有的像素点
    vector<Vector2d> ROIBoundPointList;
    CalBoundPoint(ROIBoundPointList);

    CDT cdt;
    vector<Vertex_handle> vertexList;
    cout<<ROIBoundPointList.size()<<endl;
//    for(int i = 0; i<pointList.size(); i++)
//    {
//        vertexList.push_back(cdt.insert(Point(pointList[i].x(), pointList[i].y() )));
//    }
    for(int i = 0; i<ROIBoundPointList.size(); i++)
    {
        vertexList.push_back(cdt.insert(Point(ROIBoundPointList[i].x, ROIBoundPointList[i].y )));
    }

    for(unsigned int i =0;i<vertexList.size()-1;i++)
    {
        cdt.insert_constraint(vertexList[i],vertexList[i+1]);
    }
    //cdt.insert_constraint(vertexList[vertexList.size()-1],vertexList[0]);


    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());
    std::cout << "Number of vertices: " << cdt.number_of_vertices() <<std::endl;


    CDT::Face_iterator fit;
    for (fit = cdt.faces_begin(); fit!= cdt.faces_end(); ++fit)
    {
        QVector<QPointF> triPoint;
        triPoint.push_back(QPointF(fit->vertex(0)->point().x(), fit->vertex(0)->point().y()));
        triPoint.push_back(QPointF(fit->vertex(1)->point().x(), fit->vertex(1)->point().y()));
        triPoint.push_back(QPointF(fit->vertex(2)->point().x(), fit->vertex(2)->point().y()));
        QPolygonF tri(triPoint);
        triList.push_back(tri);
    }

    bTri = true;
    update();
}