Пример #1
0
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 criterias..."
            << std::endl;

  Mesher mesher(cdt);
  mesher.refine_mesh();

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

  std::cout << "Meshing with new criterias..." << 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 longuest 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;
}
int main()
{
  CDT cdt;

  Vertex_handle va = cdt.insert(Point(-2,0,1));
  Vertex_handle vb = cdt.insert(Point(0,-2,1));
  Vertex_handle vc = cdt.insert(Point(2,0,1));
  Vertex_handle vd = cdt.insert(Point(0,1,1));
  cdt.insert(Point(2, 0.6,1));

  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..." << std::endl;

  Mesher mesher(cdt);
  mesher.set_criteria(Criteria(0.125, 0.05));
  mesher.refine_mesh();
  
  std::cout << "Number of vertices: " << cdt.number_of_vertices() << std::endl;

  std::cout << "Run Lloyd optimization...";
  CGAL::lloyd_optimize_mesh_2(cdt,
    CGAL::parameters::max_iteration_number = 10);
  std::cout << " done." << std::endl;

  std::cout << "Number of vertices: " << cdt.number_of_vertices() << std::endl;
}
Пример #3
0
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;
}
int main()
{
    typedef viennagrid::plc_2d_mesh mesh_type;
    mesh_type mesh;
    
    typedef viennagrid::result_of::point<mesh_type>::type point_type;
     
    typedef viennagrid::result_of::element<mesh_type, viennagrid::vertex_tag>::type vertex_type;
    typedef viennagrid::result_of::handle<mesh_type, viennagrid::vertex_tag>::type vertex_handle_type;
    
    typedef viennagrid::result_of::element<mesh_type, viennagrid::line_tag>::type line_type;
    typedef viennagrid::result_of::handle<mesh_type, viennagrid::line_tag>::type line_handle_type;
    
    typedef viennagrid::result_of::element<mesh_type, viennagrid::plc_tag>::type plc_type;
    typedef viennagrid::result_of::handle<mesh_type, viennagrid::plc_tag>::type plc_handle_type;
    
    plc_handle_type plc_handle;
    
    {
        std::vector<vertex_handle_type> v;
        
        v.push_back( viennagrid::make_vertex( mesh, point_type(0, 0) ) );
        v.push_back( viennagrid::make_vertex( mesh, point_type(10, 0) ) );
        v.push_back( viennagrid::make_vertex( mesh, point_type(20, 10) ) );
        v.push_back( viennagrid::make_vertex( mesh, point_type(20, 20) ) );
        v.push_back( viennagrid::make_vertex( mesh, point_type(10, 20) ) );
        v.push_back( viennagrid::make_vertex( mesh, point_type(0, 10) ) );
        v.push_back( viennagrid::make_vertex( mesh, point_type(5, 5) ) );
        
        v.push_back( viennagrid::make_vertex( mesh, point_type(10, 10) ) );
        v.push_back( viennagrid::make_vertex( mesh, point_type(12, 10) ) );
        v.push_back( viennagrid::make_vertex( mesh, point_type(10, 12) ) );
        
        v.push_back( viennagrid::make_vertex( mesh, point_type(8, 10) ) );
        
        v.push_back( viennagrid::make_vertex( mesh, point_type(15, 15) ) );
        
        
        std::vector<line_handle_type> lines;
        
        {
            std::vector<vertex_handle_type>::iterator start = v.begin();
            std::vector<vertex_handle_type>::iterator end = v.begin() + 7;
            
            std::vector<vertex_handle_type>::iterator it1 = start;
            std::vector<vertex_handle_type>::iterator it2 = it1; ++it2;
            for (; it2 != end; ++it1, ++it2)
                lines.push_back( viennagrid::make_line(mesh, *it1, *it2) );
            lines.push_back( viennagrid::make_line(mesh, *it1, *start) );
        }
        
        
        {
            std::vector<vertex_handle_type>::iterator start = v.begin() + 7;
            std::vector<vertex_handle_type>::iterator end = v.begin() + 10;
            
            std::vector<vertex_handle_type>::iterator it1 = start;
            std::vector<vertex_handle_type>::iterator it2 = it1; ++it2;
            for (; it2 != end; ++it1, ++it2)
                lines.push_back( viennagrid::make_line(mesh, *it1, *it2) );
            lines.push_back( viennagrid::make_line(mesh, *it1, *start) );
        }
        
        lines.push_back( viennagrid::make_element<line_type>( mesh, v.begin() + 9, v.begin() + 11 ) );
        
        vertex_handle_type point = v[11];

        
        std::vector<point_type> hole_points;
        hole_points.push_back( point_type(10.5, 10.5) );

        plc_handle  = viennagrid::make_plc(  mesh,
                                                                        lines.begin(), lines.end(),
                                                                        &point, &point + 1,
                                                                        hole_points.begin(), hole_points.end()
                                                                    );
    }
    
    plc_type & plc = viennagrid::dereference_handle(mesh, plc_handle);
    
    
    
    
    
    typedef viennagrid::result_of::element_range<plc_type, viennagrid::vertex_tag>::type vertex_range_type;
    typedef viennagrid::result_of::iterator<vertex_range_type>::type vertex_range_iterator;
    
    typedef viennagrid::result_of::element_range<plc_type, viennagrid::line_tag>::type line_range_type;
    typedef viennagrid::result_of::iterator<line_range_type>::type line_range_iterator;
    
    
    
    typedef CGAL::Exact_predicates_inexact_constructions_kernel     Kernel;
    
    typedef CGAL::Triangulation_vertex_base_2<Kernel>               VertexBase;
    typedef CGAL::Delaunay_mesh_face_base_2<Kernel>                 FaceBase;
    typedef CGAL::Triangulation_data_structure_2<VertexBase, FaceBase> Triangulation_structure;
    
    typedef CGAL::Constrained_Delaunay_triangulation_2<Kernel, Triangulation_structure> CDT;
    
    typedef CGAL::Delaunay_mesh_size_criteria_2<CDT> Criteria;
    
    typedef CDT::Vertex_handle Vertex_handle;
    typedef CDT::Point Point;
    
    CDT cdt;
    
    std::map<vertex_handle_type, Vertex_handle> vertex_handle_map;
    
    vertex_range_type vertices = viennagrid::elements<viennagrid::vertex_tag>(plc);
    for (vertex_range_iterator it = vertices.begin(); it != vertices.end(); ++it)
    {
        vertex_handle_type const & vtx_handle = it.handle();
        vertex_type const & vtx = *it;
        point_type const & vgrid_point = viennagrid::point( mesh, vtx );
        
        Vertex_handle handle = cdt.insert( Point(vgrid_point[0], vgrid_point[1]) );
        
        vertex_handle_map[vtx_handle] = handle;
    }

    
    line_range_type lines = viennagrid::elements<viennagrid::line_tag>(plc);
    for (line_range_iterator it = lines.begin(); it != lines.end(); ++it)
    {
        line_type & line = *it;
        
        vertex_handle_type vgrid_v0 = viennagrid::elements<viennagrid::vertex_tag>(line).handle_at(0);
        vertex_handle_type vgrid_v1 = viennagrid::elements<viennagrid::vertex_tag>(line).handle_at(1);
        
        Vertex_handle cgal_v0 = vertex_handle_map[vgrid_v0];
        Vertex_handle cgal_v1 = vertex_handle_map[vgrid_v1];
        
        cdt.insert_constraint(cgal_v0, cgal_v1);
    }
    
    std::vector<point_type> & vgrid_list_of_holes = viennagrid::hole_points(plc);
    std::list<Point> cgal_list_of_holes;
    
    for (std::vector<point_type>::iterator it = vgrid_list_of_holes.begin(); it != vgrid_list_of_holes.end(); ++it)
        cgal_list_of_holes.push_back( Point( (*it)[0], (*it)[1] ) );
    
    CGAL::refine_Delaunay_mesh_2(cdt, cgal_list_of_holes.begin(), cgal_list_of_holes.end(), Criteria());
    
    std::cout << "Number of vertices: " << cdt.number_of_vertices() << std::endl;
    std::cout << "Number of finite faces: " << cdt.number_of_faces() << std::endl;
    
    
    
    
    
    typedef viennagrid::triangular_2d_mesh triangle_mesh_type;
    triangle_mesh_type triangle_mesh;
    
    typedef viennagrid::result_of::point<triangle_mesh_type>::type triangle_point_type;
     
    typedef viennagrid::result_of::element<triangle_mesh_type, viennagrid::vertex_tag>::type triangle_vertex_type;
    typedef viennagrid::result_of::handle<triangle_mesh_type, viennagrid::vertex_tag>::type triangle_vertex_handle_type;
    
    typedef viennagrid::result_of::element<triangle_mesh_type, viennagrid::line_tag>::type triangle_line_type;
    typedef viennagrid::result_of::handle<triangle_mesh_type, viennagrid::line_tag>::type triangle_line_handle_type;
    
    typedef viennagrid::result_of::element<triangle_mesh_type, viennagrid::triangle_tag>::type triangle_triangle_type;
    typedef viennagrid::result_of::handle<triangle_mesh_type, viennagrid::triangle_tag>::type triangle_triangle__handle_type;
    
    
    std::map<Point, triangle_vertex_handle_type> points;
    
    int mesh_faces_counter = 0;
    for(CDT::Finite_faces_iterator fit = cdt.finite_faces_begin(); fit != cdt.finite_faces_end(); ++fit) 
    {
        if(fit->is_in_domain())
        {
            typedef CDT::Triangle Triangle;
            Triangle tri = cdt.triangle(fit);
            
            triangle_vertex_handle_type vgrid_vtx[3];
            
            for (int i = 0; i < 3; ++i)
            {
                std::map<Point, triangle_vertex_handle_type>::iterator pit = points.find( tri[i] );
                if (pit == points.end())
                {
                    vgrid_vtx[i] = viennagrid::make_vertex( triangle_mesh, triangle_point_type(tri[i].x(), tri[i].y()) );
                    points[ tri[i] ] = vgrid_vtx[i];
                }
                else
                    vgrid_vtx[i] = pit->second;
            }
            
            viennagrid::make_element<triangle_triangle_type>( triangle_mesh, vgrid_vtx, vgrid_vtx+3 );
                
            
            std::cout << tri << std::endl;
            ++mesh_faces_counter;
        }
    }
    std::cout << "Number of faces in the mesh mesh: " << mesh_faces_counter << std::endl;
    

    
    std::copy( viennagrid::elements<triangle_triangle_type>(triangle_mesh).begin(), viennagrid::elements<triangle_triangle_type>(triangle_mesh).end(), std::ostream_iterator<triangle_triangle_type>(std::cout, "\n") );
    

    viennagrid::io::vtk_writer<triangle_mesh_type> vtk_writer;
    vtk_writer(triangle_mesh, "test");
    
}