Aim: A class that recognizes pieces of digital planes of given axis width. When the width is 1, it corresponds to naive planes. Contrary to COBANaivePlaneComputer, the axis is not specified at initialization of the object. This class uses three instances of COBANaivePlaneComputer, one per axis. More...

#include <DGtal/geometry/surfaces/COBAGenericNaivePlaneComputer.h>

Public Types
typedef TSpace	Space

typedef Space::Point	Point

typedef std::set< Point >	PointSet

typedef PointSet::size_type	Size

typedef PointSet::const_iterator	ConstIterator

typedef PointSet::iterator	Iterator

typedef TInternalInteger	InternalInteger

typedef IntegerComputer< InternalInteger >	MyIntegerComputer

typedef COBANaivePlaneComputer< Space, InternalInteger >	COBAComputer

typedef COBAComputer::Primitive	Primitive

typedef PointSet::const_iterator	const_iterator

typedef PointSet::const_pointer	const_pointer

typedef PointSet::const_reference	const_reference

typedef PointSet::value_type	value_type

typedef PointSet::difference_type	difference_type

typedef PointSet::size_type	size_type

Public Member Functions
	~COBAGenericNaivePlaneComputer ()

	COBAGenericNaivePlaneComputer ()

	COBAGenericNaivePlaneComputer (const COBAGenericNaivePlaneComputer &other)

COBAGenericNaivePlaneComputer &	operator= (const COBAGenericNaivePlaneComputer &other)

MyIntegerComputer &	ic () const

Dimension	active () const

void	clear ()

void	init (InternalInteger diameter, InternalInteger widthNumerator=NumberTraits< InternalInteger >::ONE, InternalInteger widthDenominator=NumberTraits< InternalInteger >::ONE)

Size	complexity () const

Size	size () const

bool	empty () const

ConstIterator	begin () const

ConstIterator	end () const

Size	max_size () const

Size	maxSize () const

bool	operator() (const Point &p) const

bool	extendAsIs (const Point &p)

bool	extend (const Point &p)

bool	isExtendable (const Point &p) const

template<typename TInputIterator >
bool	extend (TInputIterator it, TInputIterator itE)

template<typename TInputIterator >
bool	isExtendable (TInputIterator it, TInputIterator itE) const

Primitive	primitive () const

template<typename Vector3D >
void	getNormal (Vector3D &normal) const

template<typename Vector3D >
void	getUnitNormal (Vector3D &normal) const

void	getBounds (double &min, double &max) const

const Point &	minimalPoint () const

const Point &	maximalPoint () const

void	selfDisplay (std::ostream &out) const

bool	isValid () const

Private Types
typedef std::vector< Dimension >::iterator	AxisIterator

typedef std::vector< Dimension >::const_iterator	AxisConstIterator

Private Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CSpace< TSpace >))

	BOOST_CONCEPT_ASSERT ((concepts::CInteger< TInternalInteger >))

	BOOST_STATIC_ASSERT ((TSpace::dimension==3))

Private Attributes
std::vector< Dimension >	myAxes

COBAComputer	myComputers [3]

std::vector< Dimension >	_axesToErase

Detailed Description

template<typename TSpace, typename TInternalInteger>
class DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >

Aim: A class that recognizes pieces of digital planes of given axis width. When the width is 1, it corresponds to naive planes. Contrary to COBANaivePlaneComputer, the axis is not specified at initialization of the object. This class uses three instances of COBANaivePlaneComputer, one per axis.

Description of template class 'COBAGenericNaivePlaneComputer'

As a (3D) geometric primitive, it obeys to a subset of the concept CSegmentComputer. It is copy constructible, assignable. It is iterable (inner type ConstIterator, begin(), end()). You may clear() it. It has methods extend(), extend( InputIterator, InputIterator) and isExtendable(), isExtendable(InputIterator, InputIterator). The object stores all the distinct points p such that 'extend( p )' was successful. It is thus a model of boost::ForwardContainer (non mutable).

It is also a model of concepts::CPointPredicate (returns 'true' iff a point is within the current bounds).

Note on complexity: See COBANaivePlaneComputer. Although it uses three instances of COBANaivePlaneComputer, the recognition is not three times slower. Indeed, recognition stops quickly on bad axes.

Note on execution times: The user should favor int64_t instead of BigInteger whenever possible (diameter smaller than 500). The speed-up is between 10 and 20 for these diameters. For greater diameters, it is necessary to use BigInteger (see below).

Template Parameters

TSpace	specifies the type of digital space in which lies input digital points. A model of CSpace.
TInternalInteger	specifies the type of integer used in internal computations. The type should be able to hold integers of order (2*D^3)^2 if D is the diameter of the set of digital points. In practice, diameter is limited to 20 for int32_t, diameter is approximately 500 for int64_t, and whatever with BigInteger/GMP integers. For huge diameters, the slow-down is polylogarithmic with the diameter.

Essentially a backport from ImaGene.

typedef SpaceND<3,int> Z3;
typedef COBAGenericNaivePlaneComputer< Z3, int64_t > NaivePlaneComputer;
NaivePlaneComputer plane;
plane.init( 100, 1, 1 ); // diameter is 100, width is 1/1 => naive 
plane.extend( Point( 10, 0, 0 ) ); // return 'true'
plane.extend( Point( 0, 8, 0 ) );  // return 'true'
plane.extend( Point( 0, 0, 6 ) );  // return 'true'
plane.extend( Point( 5, 5, 5 ) );  // return 'false'
// There is no naive plane going through the 3 first points and the last one.

Model of boost::DefaultConstructible, boost::CopyConstructible, boost::Assignable, boost::ForwardContainer, concepts::CAdditivePrimitiveComputer, concepts::CPointPredicate.

Definition at line 121 of file COBAGenericNaivePlaneComputer.h.

Member Typedef Documentation

◆ AxisConstIterator

template<typename TSpace , typename TInternalInteger >

typedef std::vector<Dimension>::const_iterator DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::AxisConstIterator

private

Definition at line 153 of file COBAGenericNaivePlaneComputer.h.

◆ AxisIterator

template<typename TSpace , typename TInternalInteger >

typedef std::vector<Dimension>::iterator DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::AxisIterator

private

Definition at line 152 of file COBAGenericNaivePlaneComputer.h.

◆ COBAComputer

template<typename TSpace , typename TInternalInteger >

typedef COBANaivePlaneComputer< Space, InternalInteger > DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::COBAComputer

Definition at line 138 of file COBAGenericNaivePlaneComputer.h.

◆ const_iterator

template<typename TSpace , typename TInternalInteger >

typedef PointSet::const_iterator DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::const_iterator

Definition at line 143 of file COBAGenericNaivePlaneComputer.h.

◆ const_pointer

template<typename TSpace , typename TInternalInteger >

typedef PointSet::const_pointer DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::const_pointer

Definition at line 144 of file COBAGenericNaivePlaneComputer.h.

◆ const_reference

template<typename TSpace , typename TInternalInteger >

typedef PointSet::const_reference DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::const_reference

Definition at line 145 of file COBAGenericNaivePlaneComputer.h.

◆ ConstIterator

template<typename TSpace , typename TInternalInteger >

typedef PointSet::const_iterator DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::ConstIterator

Definition at line 134 of file COBAGenericNaivePlaneComputer.h.

◆ difference_type

template<typename TSpace , typename TInternalInteger >

typedef PointSet::difference_type DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::difference_type

Definition at line 147 of file COBAGenericNaivePlaneComputer.h.

◆ InternalInteger

template<typename TSpace , typename TInternalInteger >

typedef TInternalInteger DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::InternalInteger

Definition at line 136 of file COBAGenericNaivePlaneComputer.h.

◆ Iterator

template<typename TSpace , typename TInternalInteger >

typedef PointSet::iterator DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::Iterator

Definition at line 135 of file COBAGenericNaivePlaneComputer.h.

◆ MyIntegerComputer

template<typename TSpace , typename TInternalInteger >

typedef IntegerComputer< InternalInteger > DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::MyIntegerComputer

Definition at line 137 of file COBAGenericNaivePlaneComputer.h.

◆ Point

template<typename TSpace , typename TInternalInteger >

typedef Space::Point DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::Point

Definition at line 131 of file COBAGenericNaivePlaneComputer.h.

◆ PointSet

template<typename TSpace , typename TInternalInteger >

typedef std::set< Point > DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::PointSet

Definition at line 132 of file COBAGenericNaivePlaneComputer.h.

◆ Primitive

template<typename TSpace , typename TInternalInteger >

typedef COBAComputer::Primitive DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::Primitive

Definition at line 139 of file COBAGenericNaivePlaneComputer.h.

◆ Size

template<typename TSpace , typename TInternalInteger >

typedef PointSet::size_type DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::Size

Definition at line 133 of file COBAGenericNaivePlaneComputer.h.

◆ size_type

template<typename TSpace , typename TInternalInteger >

typedef PointSet::size_type DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::size_type

Definition at line 148 of file COBAGenericNaivePlaneComputer.h.

◆ Space

template<typename TSpace , typename TInternalInteger >

typedef TSpace DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::Space

Definition at line 130 of file COBAGenericNaivePlaneComputer.h.

◆ value_type

template<typename TSpace , typename TInternalInteger >

typedef PointSet::value_type DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::value_type

Definition at line 146 of file COBAGenericNaivePlaneComputer.h.

Constructor & Destructor Documentation

◆ ~COBAGenericNaivePlaneComputer()

template<typename TSpace , typename TInternalInteger >

DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::~COBAGenericNaivePlaneComputer ( )

Destructor.

◆ COBAGenericNaivePlaneComputer() [1/2]

template<typename TSpace , typename TInternalInteger >

DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::COBAGenericNaivePlaneComputer ( )

Constructor. The object is not valid and should be initialized.

See also: init

◆ COBAGenericNaivePlaneComputer() [2/2]

template<typename TSpace , typename TInternalInteger >

DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::COBAGenericNaivePlaneComputer ( const COBAGenericNaivePlaneComputer< TSpace, TInternalInteger > & other )

Copy constructor.

Parameters

other the object to clone.

Member Function Documentation

◆ active()

template<typename TSpace , typename TInternalInteger >

Dimension DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::active ( ) const

Returns: an active axis (or the active axis when there is only one).

◆ begin()

template<typename TSpace , typename TInternalInteger >

ConstIterator DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::begin ( ) const

Returns: a const iterator pointing on the first point stored in the current naive plane.

◆ BOOST_CONCEPT_ASSERT() [1/2]

template<typename TSpace , typename TInternalInteger >

DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::BOOST_CONCEPT_ASSERT ( (concepts::CInteger< TInternalInteger >) )

private

◆ BOOST_CONCEPT_ASSERT() [2/2]

template<typename TSpace , typename TInternalInteger >

DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::BOOST_CONCEPT_ASSERT ( (concepts::CSpace< TSpace >) )

private

◆ BOOST_STATIC_ASSERT()

template<typename TSpace , typename TInternalInteger >

DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::BOOST_STATIC_ASSERT ( (TSpace::dimension==3) )

private

◆ clear()

template<typename TSpace , typename TInternalInteger >

void DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::clear ( )

Clear the object, free memory. The plane keeps its main axis, diameter and width, but contains no point.

◆ complexity()

template<typename TSpace , typename TInternalInteger >

Size DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::complexity ( ) const

Returns: the number of vertices/edges of the convex integer polygon of solutions.

◆ empty()

template<typename TSpace , typename TInternalInteger >

bool DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::empty ( ) const

Returns: 'true' if and only if this object contains no point.

◆ end()

template<typename TSpace , typename TInternalInteger >

ConstIterator DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::end ( ) const

Returns: a const iterator pointing after the last point stored in the current naive plane.

◆ extend() [1/2]

template<typename TSpace , typename TInternalInteger >

bool DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::extend ( const Point & p )

Adds the point p and checks if we have still a digital plane of specified width. The plane parameters may be updated so as to include the new point.

Parameters

p	any 3D point (in the specified diameter).

Returns: 'true' if it is still a plane, 'false' otherwise (the object is then in its original state).

◆ extend() [2/2]

template<typename TSpace , typename TInternalInteger >

template<typename TInputIterator >

bool DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::extend	(	TInputIterator	it,
		TInputIterator	itE
	)

Adds the range of points [it, itE) and checks if we have still a digital plane of specified width. The plane parameters may be updated so as to include all the new points. All points pointed by iterators should be in the diameter of this object.

Template Parameters

TInputIterator any model of InputIterator on Point.

Parameters

it	an iterator on the first element of the range of 3D points.
itE	an iterator after the last element of the range of 3D points.

Returns: 'true' if it is still a plane, 'false' otherwise (the object is then in its original state).

◆ extendAsIs()

template<typename TSpace , typename TInternalInteger >

bool DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::extendAsIs ( const Point & p )

Adds the point p to this plane if it is within the current bounds. The plane parameters are not updated.

Parameters

p	any 3D point (in the specified diameter).

Returns: 'true' if p is in the plane, 'false' otherwise (the object is then in its original state).

◆ getBounds()

template<typename TSpace , typename TInternalInteger >

void DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::getBounds	(	double &	min,
		double &	max
	)		const

If n is the unit normal to the current plane, then n.x >= min and n.x <= max are the two half-planes defining it.

Parameters

min	the lower bound (corresponding to the unit vector).
max	the upper bound (corresponding to the unit vector).

◆ getNormal()

template<typename TSpace , typename TInternalInteger >

template<typename Vector3D >

void DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::getNormal ( Vector3D & normal ) const

Template Parameters

Vector3D any type T such that T.operator[](int i) returns a reference to a double. i ranges in 0,1,2.

Parameters

[in,out] normal (updates) the current normal vector

◆ getUnitNormal()

template<typename TSpace , typename TInternalInteger >

template<typename Vector3D >

void DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::getUnitNormal ( Vector3D & normal ) const

Template Parameters

Vector3D any type T such that T.operator[](int i) returns a reference to a double. i ranges in 0,1,2.

Parameters

normal (updates) the current unit normal vector

◆ ic()

template<typename TSpace , typename TInternalInteger >

MyIntegerComputer & DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::ic ( ) const

Returns: the object that performs integer calculation.

◆ init()

template<typename TSpace , typename TInternalInteger >

void DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::init	(	InternalInteger	diameter,
		InternalInteger	widthNumerator = `NumberTraits< InternalInteger >::ONE`,
		InternalInteger	widthDenominator = `NumberTraits< InternalInteger >::ONE`
	)

All these parameters cannot be changed during the process. After this call, the object is in a consistent state and can accept new points for recognition. Calls clear so that the object is ready to be extended.

Parameters

diameter	the diameter for the set of points (maximum distance between the given points)
widthNumerator	the maximal axis-width (x,y,or z) for the plane is defined as the rational number widthNumerator / widthDenominator (default is 1/1, i.e. naive plane).
widthDenominator	the maximal axis-width (x,y,or z) for the plane is defined as the rational number widthNumerator / widthDenominator (default is 1/1, i.e. naive plane).

◆ isExtendable() [1/2]

template<typename TSpace , typename TInternalInteger >

bool DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::isExtendable ( const Point & p ) const

Checks if we have still a digital plane of specified width when adding point p. The object is left unchanged whatever the returned value. The invariant is 'this->isExtendable( p ) == true <=> this->extend( p ) == true'.

Parameters

p	any 3D point (in the specified diameter).

Returns: 'true' if this is still a plane, 'false' otherwise.

◆ isExtendable() [2/2]

template<typename TSpace , typename TInternalInteger >

template<typename TInputIterator >

bool DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::isExtendable	(	TInputIterator	it,
		TInputIterator	itE
	)		const

Checks if we have still a digital plane of specified width when adding the range of points [it, itE). The object is left unchanged whatever the returned value. All points pointed by iterators should be in the diameter of this object. The invariant is 'this->isExtendable( it, itE ) == true <=> this->extend( it, itE ) == true'.

Template Parameters

TInputIterator any model of InputIterator on Point.

Parameters

it	an iterator on the first element of the range of 3D points.
itE	an iterator after the last element of the range of 3D points.

Returns: 'true' if this is still a plane, 'false' otherwise.

◆ isValid()

template<typename TSpace , typename TInternalInteger >

bool DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::isValid ( ) const

Checks the validity/consistency of the object.

Returns: 'true' if the object is valid, 'false' otherwise.

◆ max_size()

template<typename TSpace , typename TInternalInteger >

Size DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::max_size ( ) const

NB: std version.

Returns: the maximal allowed number of points in the current naive plane.

See also: maxSize

◆ maximalPoint()

template<typename TSpace , typename TInternalInteger >

const Point & DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::maximalPoint ( ) const

Precondition: ! empty()

Returns: the current maximal point of the plane, i.e. the one with the highest scalar product with the current normal vector. Note that other points may also have a maximum value.

◆ maxSize()

template<typename TSpace , typename TInternalInteger >

Size DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::maxSize ( ) const

same as max_size

Returns: the maximal allowed number of points in the current naive plane.

◆ minimalPoint()

template<typename TSpace , typename TInternalInteger >

const Point & DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::minimalPoint ( ) const

Precondition: ! empty()

Returns: the current minimal point of the plane, i.e. the one with the smallest scalar product with the current normal vector. Note that other points may also have a minimum value.

◆ operator()()

template<typename TSpace , typename TInternalInteger >

bool DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::operator() ( const Point & p ) const

Checks if the point p is in the current digital plane. Therefore, a COBAGenericNaivePlaneComputer is a model of concepts::CPointPredicate.

Parameters

p	any 3D point.

Returns: 'true' if it is in the current plane, false otherwise.

◆ operator=()

template<typename TSpace , typename TInternalInteger >

COBAGenericNaivePlaneComputer & DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::operator= ( const COBAGenericNaivePlaneComputer< TSpace, TInternalInteger > & other )

Assignment.

Parameters

other the object to copy.

Returns: a reference on 'this'.

◆ primitive()

template<typename TSpace , typename TInternalInteger >

Primitive DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::primitive ( ) const

Returns: the current primitive recognized by this computer, which is a ParallelStrip of axis width smaller than the one specified at instanciation.

Note: The returned primitive has the form \(\mu \le \vec{N} \cdot \vec{X} \le \mu + \epsilon\). It is guaranteed that its axis width is strictly less than the value widthNumerator / widthDenominator specified with method init.

◆ selfDisplay()

template<typename TSpace , typename TInternalInteger >

void DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::selfDisplay ( std::ostream & out ) const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

◆ size()

template<typename TSpace , typename TInternalInteger >

Size DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::size ( ) const

Returns: the number of distinct points in the current naive plane.

Field Documentation

◆ _axesToErase

template<typename TSpace , typename TInternalInteger >

std::vector<Dimension> DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::_axesToErase

mutableprivate

Useful when erasing axes.

Definition at line 428 of file COBAGenericNaivePlaneComputer.h.

◆ myAxes

template<typename TSpace , typename TInternalInteger >

std::vector<Dimension> DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::myAxes

private

The list of active plane axes. Starts with {0,1,2}. At least one.

Definition at line 426 of file COBAGenericNaivePlaneComputer.h.

◆ myComputers

template<typename TSpace , typename TInternalInteger >

COBAComputer DGtal::COBAGenericNaivePlaneComputer< TSpace, TInternalInteger >::myComputers[3]

private

The three COBA plane computers.

Definition at line 427 of file COBAGenericNaivePlaneComputer.h.

The documentation for this class was generated from the following file:

COBAGenericNaivePlaneComputer.h

Public Types

Public Member Functions

Private Types

Private Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ AxisConstIterator

◆ AxisIterator

◆ COBAComputer

◆ const_iterator

◆ const_pointer

◆ const_reference

◆ ConstIterator

◆ difference_type

◆ InternalInteger

◆ Iterator

◆ MyIntegerComputer

◆ Point

◆ PointSet

◆ Primitive

◆ Size

◆ size_type

◆ Space

◆ value_type

Constructor & Destructor Documentation

◆ ~COBAGenericNaivePlaneComputer()

◆ COBAGenericNaivePlaneComputer() [1/2]

◆ COBAGenericNaivePlaneComputer() [2/2]

Member Function Documentation

◆ active()

◆ begin()

◆ BOOST_CONCEPT_ASSERT() [1/2]

◆ BOOST_CONCEPT_ASSERT() [2/2]

◆ BOOST_STATIC_ASSERT()

◆ clear()

◆ complexity()

◆ empty()

◆ end()

◆ extend() [1/2]

◆ extend() [2/2]

◆ extendAsIs()

◆ getBounds()

◆ getNormal()

◆ getUnitNormal()

◆ ic()

◆ init()

◆ isExtendable() [1/2]

◆ isExtendable() [2/2]

◆ isValid()

◆ max_size()

◆ maximalPoint()

◆ maxSize()

◆ minimalPoint()

◆ operator()()

◆ operator=()

◆ primitive()

◆ selfDisplay()

◆ size()

Field Documentation

◆ _axesToErase

◆ myAxes

◆ myComputers