Mesh_3/mesh_implicit_ellipsoid.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/make_mesh_3.h>
#include <CGAL/perturb_mesh_3.h>
#include <CGAL/exude_mesh_3.h>
 
// Domain
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef K::FT FT;
typedef K::Point_3 Point;
typedef FT (Function)(const Point&);
typedef CGAL::Labeled_mesh_domain_3<K> Mesh_domain;
 
// Triangulation
typedef CGAL::Mesh_triangulation_3<Mesh_domain>::type Tr;
typedef CGAL::Mesh_complex_3_in_triangulation_3<Tr> C3t3;
 
// Criteria
typedef CGAL::Mesh_criteria_3<Tr> Mesh_criteria;
typedef Mesh_criteria::Facet_criteria Facet_criteria;
typedef Mesh_criteria::Cell_criteria Cell_criteria;
 
// Function
FT ellipsoid_function (const Point& p)
{
  const FT x2=p.x()*p.x();
  const FT y2=p.y()*p.y();
  const FT z2=p.z()*p.z();
 
  return x2+2*y2+4*z2-1;
}
 
namespace params = CGAL::parameters;
 
int main()
{
  // Domain (Warning: Sphere_3 constructor uses square radius !)
  Mesh_domain domain =
    Mesh_domain::create_implicit_mesh_domain(ellipsoid_function,
                                             K::Sphere_3(CGAL::ORIGIN, 2.));
 
  // Criteria
  Facet_criteria facet_criteria(30, 0.08, 0.025); // angle, size, approximation
  Cell_criteria cell_criteria(2, 0.1); // radius-edge ratio, size
  Mesh_criteria criteria(facet_criteria, cell_criteria);
 
  // Mesh generation (without optimization)
  C3t3 c3t3 = CGAL::make_mesh_3<C3t3>(domain, criteria, params::no_perturb().no_exude());
 
  // Output
  std::ofstream medit_file("out_wo.mesh");
  CGAL::IO::write_MEDIT(medit_file, c3t3);
  medit_file.close();
 
  // Perturbation (5s, 12degree)
  CGAL::perturb_mesh_3(c3t3, domain, params::time_limit(5).sliver_bound(12));
 
  // Exudation
  CGAL::exude_mesh_3(c3t3);
 
  // Output
  medit_file.open("out_optimized.mesh");
  CGAL::IO::write_MEDIT(medit_file, c3t3);
  medit_file.close();
 
  return 0;
}