Engine computing the interpolated cover between given inner and outer covers. More...

#include <Space_filling_model_coarse_graining_interpolated_cover.hpp>

Public Types
typedef T_Space_filling_model_coarse_graining_interpolated_cover< AlphaComplex3 >	Self

typedef AlphaComplex3::Geom_traits::Kernel	K
	3D geometric kernel defining the objects used in the alpha-complex. More...

typedef K::FT	FT
	Number type used for representing the objects in the alpha-complex. More...

typedef K::Sphere_3	Sphere_3
	Representation of a sphere in the interpolated approximation. More...

typedef K::Point_3	Point_3
	Center of a sphere in the interpolated approximation. More...

Constructors
	T_Space_filling_model_coarse_graining_interpolated_cover (void)
	Default constructor. More...

Functor
template<class InputIterator , class OutputIterator >
OutputIterator	operator() (InputIterator begin_inner, InputIterator end_inner, InputIterator begin_outer, InputIterator end_outer, const FT &volume, const FT &epsilon, OutputIterator out) const
	Make a linear interpolation from the balls defining an inner cover (begin_inner, end_inner) to the ones defining an outer cover (begin_outer, end_outer). More...

Detailed Description

template<class AlphaComplex3>
class T_Space_filling_model_coarse_graining_interpolated_cover< AlphaComplex3 >

Engine computing the interpolated cover between given inner and outer covers.

Template Parameters

AlphaComplex3 Model of an alpha-complex used for computing the volume of the inteprolated covers.

Member Typedef Documentation

◆ FT

typedef K::FT FT

Number type used for representing the objects in the alpha-complex.

◆ K

typedef AlphaComplex3::Geom_traits::Kernel K

3D geometric kernel defining the objects used in the alpha-complex.

◆ Point_3

typedef K::Point_3 Point_3

Center of a sphere in the interpolated approximation.

◆ Self

typedef T_Space_filling_model_coarse_graining_interpolated_cover<AlphaComplex3> Self

◆ Sphere_3

typedef K::Sphere_3 Sphere_3

Representation of a sphere in the interpolated approximation.

Constructor & Destructor Documentation

◆ T_Space_filling_model_coarse_graining_interpolated_cover()

T_Space_filling_model_coarse_graining_interpolated_cover ( void )

inline

Default constructor.

Member Function Documentation

◆ operator()()

OutputIterator operator()	(	InputIterator	begin_inner,
		InputIterator	end_inner,
		InputIterator	begin_outer,
		InputIterator	end_outer,
		const FT &	volume,
		const FT &	epsilon,
		OutputIterator	out
	)		const

inline

Make a linear interpolation from the balls defining an inner cover (begin_inner, end_inner) to the ones defining an outer cover (begin_outer, end_outer).

The input volume is the target volume to obtain with the linear interpolation. The algorithm stops when the target volume is obtained with an error of epsilon. The interpolated balls are stored in the output iterator.

Public Types

Constructors

Functor