CGAL 5.6.3 - 3D Mesh Generation

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Mesh_3/mesh_implicit_sphere_variable_size.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>
// 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;
#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> C3t3;
// Criteria
typedef CGAL::Mesh_criteria_3<Tr> Mesh_criteria;
// Sizing field
struct Spherical_sizing_field
{
typedef ::FT FT;
typedef Point Point_3;
typedef Mesh_domain::Index Index;
FT operator()(const Point_3& p, const int, const Index&) const
{
FT sq_d_to_origin = CGAL::squared_distance(p, Point(CGAL::ORIGIN));
return CGAL::abs( CGAL::sqrt(sq_d_to_origin)-0.5 ) / 5. + 0.025;
}
};
namespace params = CGAL::parameters;
// Function
FT sphere_function (const Point& p)
{ return CGAL::squared_distance(p, Point(CGAL::ORIGIN))-1; }
int main()
{
Mesh_domain domain = Mesh_domain::create_implicit_mesh_domain
(sphere_function, K::Sphere_3(CGAL::ORIGIN, K::FT(2))
);
// Mesh criteria
Spherical_sizing_field size;
Mesh_criteria criteria(params::facet_angle(30).facet_size(0.1).facet_distance(0.025).
cell_radius_edge_ratio(2).cell_size(size));
// Mesh generation
C3t3 c3t3 = CGAL::make_mesh_3<C3t3>(domain, criteria, params::no_exude().no_perturb());
// Output
std::ofstream medit_file("out.mesh");
CGAL::IO::write_MEDIT(medit_file, c3t3);
medit_file.close();
return 0;
}
CGAL::Exact_predicates_inexact_constructions_kernel
CGAL::Labeled_mesh_domain_3
The class Labeled_mesh_domain_3 implements indexed domains.
Definition: Labeled_mesh_domain_3.h:357
CGAL::Mesh_complex_3_in_triangulation_3
CGAL::Mesh_criteria_3
The class gathers the refinement criteria for mesh tetrahedra and surface facets where surface facets...
Definition: Mesh_criteria_3.h:192
Index
unspecified_type
CGAL::abs
NT abs(const NT &x)
CGAL::sqrt
NT sqrt(const NT &x)
CGAL::parameters::no_perturb
unspecified_type no_perturb()
The function parameters::no_perturb() allows the user to tell mesh generation global functions make_m...
CGAL::IO::write_MEDIT
void write_MEDIT(std::ostream &os, const T3 &t3, const NamedParameters &np=parameters::default_values())
CGAL::ORIGIN
const CGAL::Origin ORIGIN
CGAL::squared_distance
Kernel::FT squared_distance(Type1< Kernel > obj1, Type2< Kernel > obj2)
CGAL::parameters
CGAL::Parallel_tag
CGAL::Sequential_tag