Mesh_3/mesh_two_implicit_spheres_with_balls.cpp

#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 
#include <CGAL/Mesh_triangulation_3.h>
#include <CGAL/Mesh_complex_3_in_triangulation_3.h>
#include <CGAL/Mesh_criteria_3.h>
 
#include <CGAL/Labeled_mesh_domain_3.h>
#include <CGAL/Mesh_domain_with_polyline_features_3.h>
#include <CGAL/make_mesh_3.h>
 
// Kernel
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
 
// Domain
typedef K::FT FT;
typedef K::Point_3 Point;
typedef FT (Function)(const Point&);
typedef CGAL::Mesh_domain_with_polyline_features_3<
  CGAL::Labeled_mesh_domain_3<K> > Mesh_domain;
 
// Polyline
typedef std::vector<Point>        Polyline_3;
typedef std::list<Polyline_3>       Polylines;
 
#ifdef CGAL_CONCURRENT_MESH_3
typedef CGAL::Parallel_tag Concurrency_tag;
#else
typedef CGAL::Sequential_tag Concurrency_tag;
#endif
 
// Triangulation
typedef CGAL::Mesh_triangulation_3<Mesh_domain,CGAL::Default,Concurrency_tag>::type Tr;
 
typedef CGAL::Mesh_complex_3_in_triangulation_3<
  Tr,Mesh_domain::Corner_index,Mesh_domain::Curve_index> C3t3;
 
// Criteria
typedef CGAL::Mesh_criteria_3<Tr> Mesh_criteria;
 
namespace params = CGAL::parameters;
 
// Function
FT sphere_function1 (const Point& p)
{ return CGAL::squared_distance(p, Point(CGAL::ORIGIN))-2; }
 
FT sphere_function2 (const Point& p)
{ return CGAL::squared_distance(p, Point(2, 0, 0))-2; }
 
FT sphere_function (const Point& p)
{
  if(sphere_function1(p) < 0 || sphere_function2(p) < 0)
    return -1;
  else
    return 1;
}
 
#include <cmath>
 
int main()
{
  // Domain (Warning: Sphere_3 constructor uses squared radius !)
  Mesh_domain domain =
    Mesh_domain::create_implicit_mesh_domain(sphere_function,
                                             K::Sphere_3(Point(1, 0, 0), 6.));
 
  // Mesh criteria
  Mesh_criteria criteria(params::edge_size(0.15).
                                 facet_angle(25).
                                 facet_size(0.15).
                                 cell_radius_edge_ratio(2).
                                 cell_size(0.15));
 
  // Create edge that we want to preserve
  Polylines polylines (1);
  Polyline_3& polyline = polylines.front();
 
  for(int i = 0; i < 360; ++i)
  {
    Point p (1, std::cos(i*CGAL_PI/180), std::sin(i*CGAL_PI/180));
    polyline.push_back(p);
  }
  polyline.push_back(polyline.front()); // close the line
 
  // Insert edge in domain
  domain.add_features(polylines.begin(), polylines.end());
 
  // Mesh generation without feature preservation
  C3t3 c3t3 = CGAL::make_mesh_3<C3t3>(domain, criteria,
                                      params::no_features());
 
  std::ofstream medit_file("out-no-protection.mesh");
  CGAL::IO::write_MEDIT(medit_file, c3t3);
  medit_file.close();
  c3t3.clear();
 
  // Mesh generation with feature preservation
  c3t3 = CGAL::make_mesh_3<C3t3>(domain, criteria);
 
  // Output
  medit_file.open("out-with-protection.mesh");
  CGAL::IO::write_MEDIT(medit_file, c3t3);
  medit_file.close();
 
  return 0;
}