T_Betti_numbers_2< AlphaComplex3 > Class Template Reference

Compute the Betti numbers of a 3D Cell Complex from its alpha-complex. More...

#include <Betti_numbers_2.hpp>

Public Types
typedef AlphaComplex3::FT	FT
	Number type used for representing coordinates and weights in the -complex.
typedef boost::tuple< unsigned, unsigned, unsigned >	result_type
	Boost tuple (Betti_0, Betti_1, Betti_2)

Functors
result_type	operator() (const AlphaComplex3 &A) const
	Returns the Betti numbers of the input -complex.
template<class InputIterator>
result_type	operator() (InputIterator begin, InputIterator end, const FT &alpha=0) const
	Computes the Betti numbers of the union of the family of input 3D balls represented as weighted points.

Detailed Description

template<class AlphaComplex3>
class SBL::GT::T_Betti_numbers_2< AlphaComplex3 >

Compute the Betti numbers of a 3D Cell Complex from its alpha-complex.

Template Parameters

AlphaComplex3

A Model of the 3D -complex of the CGAL Library.

Member Typedef Documentation

FT

template<class AlphaComplex3>

typedef AlphaComplex3::FT FT

Number type used for representing coordinates and weights in the -complex.

result_type

template<class AlphaComplex3>

typedef boost::tuple<unsigned, unsigned, unsigned> result_type

Boost tuple (Betti_0, Betti_1, Betti_2)

Member Function Documentation

operator()() [1/2]

template<class AlphaComplex3>

T_Betti_numbers_2< AlphaComplex3 >::result_type operator() ( const AlphaComplex3 & A ) const

inline

Returns the Betti numbers of the input -complex.

operator()() [2/2]

template<class AlphaComplex3>

template<class InputIterator>

T_Betti_numbers_2< AlphaComplex3 >::result_type operator() ( InputIterator begin, InputIterator end, const FT & alpha = 0 ) const

inline

Computes the Betti numbers of the union of the family of input 3D balls represented as weighted points.