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;
}

// To avoid verbose function and named parameters call
using namespace 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, no_perturb(), no_exude());

  // Output
  std::ofstream medit_file("out_wo.mesh");
  c3t3.output_to_medit(medit_file);
  medit_file.close();

  // Perturbation (5s, 12degree)
  CGAL::perturb_mesh_3(c3t3, domain, time_limit=5, sliver_bound=12);

  // Exudation
  CGAL::exude_mesh_3(c3t3);

  // Output
  medit_file.open("out_optimized.mesh");
  c3t3.output_to_medit(medit_file);

  return 0;
}