T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 > Class Template Reference

Algorithm computing the surface area and the volume of the union of 3D balls. More...

#include <Union_of_balls_surface_volume_3.hpp>

Public Types
typedef T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 >	Self
typedef UnionOfBallsBoundary3	Union_of_balls_boundary_3
typedef AlphaComplex3	Alpha_complex_3
typedef AlphaComplex3::Geom_traits::Kernel	Input_kernel
typedef CGAL::Simple_cartesian< CGAL::Interval_nt< false > >	Output_kernel
typedef Output_kernel::FT	FT_output
typedef Input_kernel::FT	FT_input
typedef AlphaComplex3::Vertex_handle	Vertex_handle

Construction
	T_Union_of_balls_surface_volume_3 (UnionOfBallsBoundary3 &boundary)
	T_Union_of_balls_surface_volume_3 (AlphaComplex3 &alpha_complex)
template<class InputIterator >
	T_Union_of_balls_surface_volume_3 (InputIterator begin, InputIterator end, const FT_input &alpha=0.)
	~T_Union_of_balls_surface_volume_3 (void)

Accessors
const AlphaComplex3 &	get_alpha_complex (void) const
unsigned	get_number_of_finite_vertices (void) const
const UnionOfBallsBoundary3 &	get_boundary (void) const
UnionOfBallsBoundary3 &	get_boundary (void)
FT_output	volume (void) const
FT_output	volume (unsigned i) const
FT_output	volume (Vertex_handle v) const
FT_output	area (void) const
FT_output	area (Face_handle f) const
FT_output	area (unsigned i) const
FT_output	area (Vertex_handle v) const
FT_output	area (const typename AlphaComplex3::Edge &e) const
bool	is_buried (unsigned i) const
bool	is_buried (Vertex_handle v) const

Cavities
unsigned	get_number_of_cavities (void) const
FT_output	get_area_of_cavity (unsigned i) const
FT_output	get_volume_of_cavity (unsigned i) const

Detailed Description

template<class AlphaComplex3, class SphericalKernel3 = CGAL::Spherical_kernel_3<typename AlphaComplex3::Geom_traits::Kernel, CGAL::Algebraic_kernel_for_spheres_2_3<typename AlphaComplex3::FT> >, class UnionOfBallsBoundary3 = T_Union_of_balls_boundary_3_data_structure<AlphaComplex3>>
class SBL::GT::T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 >

Algorithm computing the surface area and the volume of the union of 3D balls.

Algorithm computing the surface area and the volume of the union of 3D balls

Template Parameters

AlphaComplex3	Alpha-complex of the input spheres
SphericalKernel3	Geometric kernel for computations over a sphere
UnionOfBallsBoundary3	Representation of the boundary of a union of spheres

Member Typedef Documentation

Alpha_complex_3

typedef AlphaComplex3 Alpha_complex_3

FT_input

typedef Input_kernel::FT FT_input

FT_output

typedef Output_kernel::FT FT_output

Input_kernel

typedef AlphaComplex3::Geom_traits::Kernel Input_kernel

Output_kernel

typedef CGAL::Simple_cartesian<CGAL::Interval_nt<false> > Output_kernel

Self

typedef T_Union_of_balls_surface_volume_3<AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3> Self

Union_of_balls_boundary_3

typedef UnionOfBallsBoundary3 Union_of_balls_boundary_3

Vertex_handle

typedef AlphaComplex3::Vertex_handle Vertex_handle

Constructor & Destructor Documentation

T_Union_of_balls_surface_volume_3() [1/3]

T_Union_of_balls_surface_volume_3 ( UnionOfBallsBoundary3 &  boundary )

inline

T_Union_of_balls_surface_volume_3() [2/3]

T_Union_of_balls_surface_volume_3 ( AlphaComplex3 &  alpha_complex )

inline

T_Union_of_balls_surface_volume_3() [3/3]

T_Union_of_balls_surface_volume_3 ( InputIterator  begin, InputIterator  end, const FT_input &  alpha = 0.  )

inline

~T_Union_of_balls_surface_volume_3()

~T_Union_of_balls_surface_volume_3 ( void  )

inline

Member Function Documentation

area() [1/5]

T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 >::FT_output area ( const typename AlphaComplex3::Edge &  e ) const

inline

area() [2/5]

T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 >::FT_output area ( Face_handle  f ) const

inline

area() [3/5]

T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 >::FT_output area ( unsigned  i ) const

inline

area() [4/5]

T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 >::FT_output area ( Vertex_handle  v ) const

inline

area() [5/5]

T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 >::FT_output area ( void  ) const

inline

get_alpha_complex()

const AlphaComplex3 & get_alpha_complex ( void  ) const

inline

get_area_of_cavity()

T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 >::FT_output get_area_of_cavity ( unsigned  i ) const

inline

get_boundary() [1/2]

UnionOfBallsBoundary3 & get_boundary ( void  )

inline

get_boundary() [2/2]

const UnionOfBallsBoundary3 & get_boundary ( void  ) const

inline

get_number_of_cavities()

unsigned get_number_of_cavities ( void  ) const

inline

get_number_of_finite_vertices()

unsigned get_number_of_finite_vertices ( void  ) const

inline

get_volume_of_cavity()

T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 >::FT_output get_volume_of_cavity ( unsigned  i ) const

inline

is_buried() [1/2]

bool is_buried ( unsigned  i ) const

inline

is_buried() [2/2]

bool is_buried ( Vertex_handle  v ) const

inline

volume() [1/3]

T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 >::FT_output volume ( unsigned  i ) const

inline

volume() [2/3]

T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 >::FT_output volume ( Vertex_handle  v ) const

inline

volume() [3/3]

T_Union_of_balls_surface_volume_3< AlphaComplex3, SphericalKernel3, UnionOfBallsBoundary3 >::FT_output volume ( void  ) const

inline