T_Union_of_balls_epsilon_mesh_3< UnionOfBallsBoundary3, EXTERIOR_TAG > Class Template Reference

Construction of the mesh of the union of 3D balls such that any point at the surface of the union of balls has a point of the mesh in its epsilon-neighborhood. More...

#include <Union_of_balls_epsilon_mesh_3.hpp>

Classes
class	Unit_sphere_side

Public Types
typedef T_Union_of_balls_epsilon_mesh_3< UnionOfBallsBoundary3, EXTERIOR_TAG >	Self
typedef UnionOfBallsBoundary3::Traits	GeometricKernel
typedef GeometricKernel	K
typedef UnionOfBallsBoundary3::Weighted_alpha_complex_3	Alpha_complex
typedef GeometricKernel::FT	FT
	Number type used for representing coordinates of 3D balls and points. More...
typedef GeometricKernel::Vector_3	Vector_3
typedef GeometricKernel::Sphere_3	Sphere_3
typedef GeometricKernel::Point_3	Point_3
	Representation of a 3D point. More...
typedef std::vector< FT >	FT_vector
typedef GT::T_Union_of_balls_boundary_3_side< Alpha_complex, EXTERIOR_TAG >	Union_of_balls_boundary_3_side
typedef CGAL::Min_sphere_of_spheres_d_traits_3< GeometricKernel, double >	MinSphereTraits
typedef CGAL::Min_sphere_of_spheres_d< MinSphereTraits >	Min_sphere
typedef CGAL::Labeled_mesh_domain_3< GeometricKernel >	Implicit_mesh_domain
typedef CGAL::Mesh_domain_with_polyline_features_3< Implicit_mesh_domain >	Mesh_domain
typedef CGAL::Mesh_triangulation_3< Mesh_domain, GeometricKernel >::type	Mesh_triangulation
typedef CGAL::Mesh_complex_3_in_triangulation_3< Mesh_triangulation, typename Mesh_domain::Corner_index, typename Mesh_domain::Curve_segment_index >	C3t3
typedef CGAL::Mesh_criteria_3< Mesh_triangulation >	Mesh_criteria
typedef CGAL::Labeled_mesh_domain_3< GeometricKernel >	Mesh_domain_unit_sphere
typedef CGAL::Mesh_triangulation_3< Mesh_domain_unit_sphere, GeometricKernel >::type	Mesh_triangulation_unit_sphere
typedef CGAL::Mesh_complex_3_in_triangulation_3< Mesh_triangulation_unit_sphere >	C3t3_unit_sphere
typedef CGAL::Mesh_criteria_3< Mesh_triangulation_unit_sphere >	Mesh_criteria_unit_sphere
typedef CGAL::Algebraic_kernel_for_spheres_2_3< double >	AK
typedef CGAL::Spherical_kernel_3< CGAL::Simple_cartesian< double >, AK >	Spherical_kernel
typedef Spherical_kernel::Circular_arc_3	Circular_arc_3

Attributes
unsigned	m_minimal_number_of_points_on_arcs

Constructors
	T_Union_of_balls_epsilon_mesh_3 (void)

Parameters
void	set_minimal_number_of_points_on_arcs (unsigned n)

Functor
template<class OutputIterator >
OutputIterator	operator() (UnionOfBallsBoundary3 &boundary, const FT &epsilon, OutputIterator out) const

Detailed Description

template<class UnionOfBallsBoundary3, bool EXTERIOR_TAG = false>
class SBL::GT::T_Union_of_balls_epsilon_mesh_3< UnionOfBallsBoundary3, EXTERIOR_TAG >

Construction of the mesh of the union of 3D balls such that any point at the surface of the union of balls has a point of the mesh in its epsilon-neighborhood.

...

Member Typedef Documentation

AK

typedef CGAL::Algebraic_kernel_for_spheres_2_3<double> AK

Alpha_complex

typedef UnionOfBallsBoundary3::Weighted_alpha_complex_3 Alpha_complex

C3t3

typedef CGAL::Mesh_complex_3_in_triangulation_3<Mesh_triangulation, typename Mesh_domain::Corner_index, typename Mesh_domain::Curve_segment_index> C3t3

C3t3_unit_sphere

typedef CGAL::Mesh_complex_3_in_triangulation_3<Mesh_triangulation_unit_sphere> C3t3_unit_sphere

Circular_arc_3

typedef Spherical_kernel::Circular_arc_3 Circular_arc_3

FT

typedef GeometricKernel::FT FT

Number type used for representing coordinates of 3D balls and points.

FT_vector

typedef std::vector<FT> FT_vector

GeometricKernel

typedef UnionOfBallsBoundary3::Traits GeometricKernel

Implicit_mesh_domain

typedef CGAL::Labeled_mesh_domain_3<GeometricKernel> Implicit_mesh_domain

K

typedef GeometricKernel K

Mesh_criteria

typedef CGAL::Mesh_criteria_3<Mesh_triangulation> Mesh_criteria

Mesh_criteria_unit_sphere

typedef CGAL::Mesh_criteria_3<Mesh_triangulation_unit_sphere> Mesh_criteria_unit_sphere

Mesh_domain

typedef CGAL::Mesh_domain_with_polyline_features_3<Implicit_mesh_domain> Mesh_domain

Mesh_domain_unit_sphere

typedef CGAL::Labeled_mesh_domain_3<GeometricKernel> Mesh_domain_unit_sphere

Mesh_triangulation

typedef CGAL::Mesh_triangulation_3<Mesh_domain, GeometricKernel>::type Mesh_triangulation

Mesh_triangulation_unit_sphere

typedef CGAL::Mesh_triangulation_3<Mesh_domain_unit_sphere, GeometricKernel>::type Mesh_triangulation_unit_sphere

Min_sphere

typedef CGAL::Min_sphere_of_spheres_d<MinSphereTraits> Min_sphere

MinSphereTraits

typedef CGAL::Min_sphere_of_spheres_d_traits_3<GeometricKernel, double> MinSphereTraits

Point_3

typedef GeometricKernel::Point_3 Point_3

Representation of a 3D point.

Self

typedef T_Union_of_balls_epsilon_mesh_3<UnionOfBallsBoundary3, EXTERIOR_TAG> Self

Sphere_3

typedef GeometricKernel::Sphere_3 Sphere_3

Spherical_kernel

typedef CGAL::Spherical_kernel_3<CGAL::Simple_cartesian<double>, AK > Spherical_kernel

Union_of_balls_boundary_3_side

typedef GT::T_Union_of_balls_boundary_3_side<Alpha_complex, EXTERIOR_TAG> Union_of_balls_boundary_3_side

Vector_3

typedef GeometricKernel::Vector_3 Vector_3

Constructor & Destructor Documentation

T_Union_of_balls_epsilon_mesh_3()

T_Union_of_balls_epsilon_mesh_3 ( void  )

inline

Member Function Documentation

operator()()

OutputIterator operator() ( UnionOfBallsBoundary3 &  boundary, const FT &  epsilon, OutputIterator  out  ) const

inline

set_minimal_number_of_points_on_arcs()

void set_minimal_number_of_points_on_arcs ( unsigned  n )

inline

Member Data Documentation

m_minimal_number_of_points_on_arcs

unsigned m_minimal_number_of_points_on_arcs