Aim: A class that recognizes pieces of digital planes of given diagonal width. When the width is \(1 \times \sqrt{3}\), it corresponds to standard planes. Contrary to ChordStandardPlaneComputer, the axis is not specified at initialization of the object. This class uses four instances of ChordStandardPlaneComputer of axis z, by transforming points \((x,y,z)\) to \((x \pm z, y \pm z, z)\). More...

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

Data Structures
struct	Transform

Public Types
typedef TSpace	Space

typedef TInputPoint	InputPoint

typedef TInternalScalar	InternalScalar

typedef InputPoint	InputVector

typedef ChordNaivePlaneComputer< Space, InputPoint, InternalScalar >	ChordComputer

typedef ChordComputer::Component	Component

typedef ChordComputer::Coordinate	Coordinate

typedef ChordComputer::InternalVector	InternalVector

typedef ChordComputer::Point	Point

typedef ChordComputer::Primitive	Primitive

typedef ChordComputer::InputPointSet	InputPointSet

typedef ChordComputer::Size	Size

typedef ChordComputer::ConstIterator	InputPointSetConstIterator

typedef ChordComputer::Iterator	InputPointSetIterator

typedef boost::transform_iterator< Transform, InputPointSetConstIterator, InputPoint, InputPoint >	ConstIterator

typedef ConstIterator	const_iterator

typedef const InputPoint *	const_pointer

typedef const InputPoint &	const_reference

typedef InputPoint	value_type

typedef InputPointSet::difference_type	difference_type

typedef InputPointSet::size_type	size_type

Public Member Functions
	~ChordGenericStandardPlaneComputer ()

	ChordGenericStandardPlaneComputer ()

	ChordGenericStandardPlaneComputer (const ChordGenericStandardPlaneComputer &other)

ChordGenericStandardPlaneComputer &	operator= (const ChordGenericStandardPlaneComputer &other)

Dimension	active () const

void	clear ()

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

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 InputPoint &p)

bool	extend (const InputPoint &p)

bool	isExtendable (const InputPoint &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

InputPoint	minimalPoint () const

InputPoint	maximalPoint () const

void	getCharacteristics (InternalVector &n, InternalScalar &imin, InternalScalar &imax, InputPoint &p_min, InputPoint &p_max) const

void	selfDisplay (std::ostream &out) const

bool	isValid () const

Static Protected Member Functions
static Transform	t (Dimension orthant)

static Transform	invT (Dimension orthant)

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

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

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

	BOOST_CONCEPT_ASSERT ((concepts::CSignedNumber< TInternalScalar >))

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

	BOOST_STATIC_ASSERT ((TInputPoint::dimension==3))

Private Attributes
std::vector< Dimension >	myOrthants

ChordComputer	myComputers [4]

std::vector< Dimension >	_orthantsToErase

Static Private Attributes
static Transform	myTransforms [4]

Detailed Description

template<typename TSpace, typename TInputPoint, typename TInternalScalar>
class DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >

Aim: A class that recognizes pieces of digital planes of given diagonal width. When the width is \(1 \times \sqrt{3}\), it corresponds to standard planes. Contrary to ChordStandardPlaneComputer, the axis is not specified at initialization of the object. This class uses four instances of ChordStandardPlaneComputer of axis z, by transforming points \((x,y,z)\) to \((x \pm z, y \pm z, z)\).

Description of template class 'ChordGenericStandardPlaneComputer'

As a (3D) geometric primitive computer, it obeys the concept CAdditivePrimitiveComputer. It is copy constructible, assignable. 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 iterable (inner type ConstIterator, begin(), end()). You may clear() it.

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

Note on complexity: See ChordNaivePlaneComputer and Comparative evaluation of COBA and Chord algorithm. Although it uses four instances of ChordStandardNaiveComputer, the recognition is not four times slower. Indeed, recognition stops quickly on bad diagonal axes.

Template Parameters

TSpace	specifies the digital space (provides dimension and types for the primitive)
TInputPoint	specifies the type of the input points (digital or not). Usually, you may choose TInputPoint = TSpace::Point, but this is not compulsory. You may for instance wish to manipulate floating-point value points. This is possible, but you have to choose the type TInternalScalar accordingly.
TInternalScalar	specifies the type of scalar used in internal computations, generally a more precise type than TInputPoint::Component. For instance, for digital points, the type should be able to hold integers of order \((2*D)^2\) if D is the diameter of the set of digital points.

typedef SpaceND<3,int> Z3;
typedef ChordGenericStandardPlaneComputer< Z3, Z3::Point, int64_t > StandardPlaneComputer;
StandardPlaneComputer plane;
plane.init( 1, 1 ); // width is 1/1 => standard
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 standard 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 122 of file ChordGenericStandardPlaneComputer.h.

Member Typedef Documentation

◆ ChordComputer

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef ChordNaivePlaneComputer< Space, InputPoint, InternalScalar > DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::ChordComputer

Definition at line 135 of file ChordGenericStandardPlaneComputer.h.

◆ Component

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef ChordComputer::Component DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::Component

Definition at line 136 of file ChordGenericStandardPlaneComputer.h.

◆ const_iterator

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef ConstIterator DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::const_iterator

Definition at line 208 of file ChordGenericStandardPlaneComputer.h.

◆ const_pointer

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef const InputPoint* DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::const_pointer

Definition at line 209 of file ChordGenericStandardPlaneComputer.h.

◆ const_reference

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef const InputPoint& DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::const_reference

Definition at line 210 of file ChordGenericStandardPlaneComputer.h.

◆ ConstIterator

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef boost::transform_iterator<Transform,InputPointSetConstIterator, InputPoint,InputPoint> DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::ConstIterator

We wrap a transform over the iterator on point that uses one of the functor Transform to cast back the point from the naive space to the standard space.

Definition at line 204 of file ChordGenericStandardPlaneComputer.h.

◆ Coordinate

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef ChordComputer::Coordinate DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::Coordinate

Definition at line 137 of file ChordGenericStandardPlaneComputer.h.

◆ difference_type

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef InputPointSet::difference_type DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::difference_type

Definition at line 212 of file ChordGenericStandardPlaneComputer.h.

◆ InputPoint

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef TInputPoint DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::InputPoint

Definition at line 132 of file ChordGenericStandardPlaneComputer.h.

◆ InputPointSet

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef ChordComputer::InputPointSet DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::InputPointSet

Definition at line 141 of file ChordGenericStandardPlaneComputer.h.

◆ InputPointSetConstIterator

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef ChordComputer::ConstIterator DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::InputPointSetConstIterator

Definition at line 143 of file ChordGenericStandardPlaneComputer.h.

◆ InputPointSetIterator

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef ChordComputer::Iterator DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::InputPointSetIterator

Definition at line 144 of file ChordGenericStandardPlaneComputer.h.

◆ InputVector

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef InputPoint DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::InputVector

Definition at line 134 of file ChordGenericStandardPlaneComputer.h.

◆ InternalScalar

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef TInternalScalar DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::InternalScalar

Definition at line 133 of file ChordGenericStandardPlaneComputer.h.

◆ InternalVector

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef ChordComputer::InternalVector DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::InternalVector

Definition at line 138 of file ChordGenericStandardPlaneComputer.h.

◆ OrthantConstIterator

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef std::vector<Dimension>::const_iterator DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::OrthantConstIterator

private

Definition at line 149 of file ChordGenericStandardPlaneComputer.h.

◆ OrthantIterator

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef std::vector<Dimension>::iterator DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::OrthantIterator

private

Definition at line 148 of file ChordGenericStandardPlaneComputer.h.

◆ Point

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef ChordComputer::Point DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::Point

Definition at line 139 of file ChordGenericStandardPlaneComputer.h.

◆ Primitive

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef ChordComputer::Primitive DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::Primitive

Definition at line 140 of file ChordGenericStandardPlaneComputer.h.

◆ Size

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef ChordComputer::Size DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::Size

Definition at line 142 of file ChordGenericStandardPlaneComputer.h.

◆ size_type

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef InputPointSet::size_type DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::size_type

Definition at line 213 of file ChordGenericStandardPlaneComputer.h.

◆ Space

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef TSpace DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::Space

Definition at line 131 of file ChordGenericStandardPlaneComputer.h.

◆ value_type

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

typedef InputPoint DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::value_type

Definition at line 211 of file ChordGenericStandardPlaneComputer.h.

Constructor & Destructor Documentation

◆ ~ChordGenericStandardPlaneComputer()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::~ChordGenericStandardPlaneComputer ( )

Destructor.

◆ ChordGenericStandardPlaneComputer() [1/2]

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::ChordGenericStandardPlaneComputer ( )

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

See also: init

◆ ChordGenericStandardPlaneComputer() [2/2]

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::ChordGenericStandardPlaneComputer ( const ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar > & other )

Copy constructor.

Parameters

other the object to clone.

Member Function Documentation

◆ active()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

Dimension DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::active ( ) const

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

◆ begin()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

ConstIterator DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::begin ( ) const

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

◆ BOOST_CONCEPT_ASSERT() [1/2]

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::BOOST_CONCEPT_ASSERT ( (concepts::CSignedNumber< TInternalScalar >) )

private

◆ BOOST_CONCEPT_ASSERT() [2/2]

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::BOOST_CONCEPT_ASSERT ( (concepts::CSpace< TSpace >) )

private

◆ BOOST_STATIC_ASSERT() [1/2]

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::BOOST_STATIC_ASSERT ( (TInputPoint::dimension==3) )

private

◆ BOOST_STATIC_ASSERT() [2/2]

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::BOOST_STATIC_ASSERT ( (TSpace::dimension==3) )

private

◆ clear()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

void DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::clear ( )

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

◆ empty()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

bool DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::empty ( ) const

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

◆ end()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

ConstIterator DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::end ( ) const

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

◆ extend() [1/2]

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

bool DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::extend ( const InputPoint & 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 TInputPoint , typename TInternalScalar >

template<typename TInputIterator >

bool DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::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 InputPoint.

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 TInputPoint , typename TInternalScalar >

bool DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::extendAsIs ( const InputPoint & 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 TInputPoint , typename TInternalScalar >

void DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::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).

◆ getCharacteristics()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

void DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::getCharacteristics	(	InternalVector &	n,
		InternalScalar &	imin,
		InternalScalar &	imax,
		InputPoint &	p_min,
		InputPoint &	p_max
	)		const

The basic method for computing all characteristics of the recognized plane. Used by primitive, minimalPoint, maximalPoint, getBounds.

Parameters

[out]	n	the integral normal vector (with last component positive).
[out]	imin	the minimum dot product of an inserted point with n.
[out]	imax	the maximum dot product of an inserted point with n.
[out]	p_min	an inserted point satisfying the minimum dot product imin.
[out]	p_max	an inserted point satisfying the maximum dot product imax.

◆ getNormal()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

template<typename Vector3D >

void DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::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

normal (updates) the current normal vector

◆ getUnitNormal()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

template<typename Vector3D >

void DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::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

◆ init()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

void DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::init	(	InternalScalar	widthNumerator = `NumberTraits< InternalScalar >::ONE`,
		InternalScalar	widthDenominator = `NumberTraits< InternalScalar >::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

widthNumerator	the maximal diagonal width for the plane is defined as the rational number widthNumerator / widthDenominator x sqrt(3). (default is 1/1 x sqrt(3), i.e. standard plane).
widthDenominator	the maximal diagonal width for the plane is defined as the rational number widthNumerator / widthDenominator x sqrt(3). (default is 1/1 x sqrt(3), i.e. standard plane).

Referenced by main().

◆ invT()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

static Transform DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::invT ( Dimension orthant )

staticprotected

Parameters

orthant any orthant specified as an integer between 0 and 3.

Returns: the space transformation "naive to standard" associated with orthant orthant.

◆ isExtendable() [1/2]

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

bool DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::isExtendable ( const InputPoint & 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 TInputPoint , typename TInternalScalar >

template<typename TInputIterator >

bool DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::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 InputPoint.

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 TInputPoint , typename TInternalScalar >

bool DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::isValid ( ) const

Checks the validity/consistency of the object.

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

◆ max_size()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

Size DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::max_size ( ) const

NB: std version.

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

See also: maxSize

◆ maximalPoint()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

InputPoint DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::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 TInputPoint , typename TInternalScalar >

Size DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::maxSize ( ) const

same as max_size

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

◆ minimalPoint()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

InputPoint DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::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 TInputPoint , typename TInternalScalar >

bool DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::operator() ( const Point & p ) const

Checks if the point p is in the current digital plane. Therefore, a ChordGenericStandardPlaneComputer 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 TInputPoint , typename TInternalScalar >

ChordGenericStandardPlaneComputer& DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::operator= ( const ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar > & other )

Assignment.

Parameters

other the object to copy.

Returns: a reference on 'this'.

◆ primitive()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

Primitive DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::primitive ( ) const

Returns: the current primitive recognized by this computer, which is a ParallelStrip of diagonal 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 diagonal width is strictly less than the value widthNumerator / widthDenominator x sqrt(3) specified with method init.

◆ selfDisplay()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

void DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::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 TInputPoint , typename TInternalScalar >

Size DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::size ( ) const

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

◆ t()

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

static Transform DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::t ( Dimension orthant )

staticprotected

Parameters

orthant any orthant specified as an integer between 0 and 3.

Returns: the space transformation "standard to naive" associated with orthant orthant.

Field Documentation

◆ _orthantsToErase

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

std::vector<Dimension> DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::_orthantsToErase

mutableprivate

Useful when erasing orthants.

Definition at line 493 of file ChordGenericStandardPlaneComputer.h.

◆ myComputers

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

ChordComputer DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::myComputers[4]

private

The four Chord plane computers.

Definition at line 491 of file ChordGenericStandardPlaneComputer.h.

◆ myOrthants

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

std::vector<Dimension> DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::myOrthants

private

The list of active plane orthants. Starts with {0:++,1:+-,2:-+,3:–}.

Definition at line 490 of file ChordGenericStandardPlaneComputer.h.

◆ myTransforms

template<typename TSpace , typename TInputPoint , typename TInternalScalar >

Transform DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >::myTransforms[4]

staticprivate

The four space transformation associated with each Chord plane computer, shared by all computers.

Definition at line 492 of file ChordGenericStandardPlaneComputer.h.

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

ChordGenericStandardPlaneComputer.h

Data Structures

Public Types

Public Member Functions

Static Protected Member Functions

Private Types

Private Member Functions

Private Attributes

Static Private Attributes

Detailed Description

template<typename TSpace, typename TInputPoint, typename TInternalScalar> class DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >

Member Typedef Documentation

◆ ChordComputer

◆ Component

◆ const_iterator

◆ const_pointer

◆ const_reference

◆ ConstIterator

◆ Coordinate

◆ difference_type

◆ InputPoint

◆ InputPointSet

◆ InputPointSetConstIterator

◆ InputPointSetIterator

◆ InputVector

◆ InternalScalar

◆ InternalVector

◆ OrthantConstIterator

◆ OrthantIterator

◆ Point

◆ Primitive

◆ Size

◆ size_type

◆ Space

◆ value_type

Constructor & Destructor Documentation

◆ ~ChordGenericStandardPlaneComputer()

◆ ChordGenericStandardPlaneComputer() [1/2]

◆ ChordGenericStandardPlaneComputer() [2/2]

Member Function Documentation

◆ active()

◆ begin()

◆ BOOST_CONCEPT_ASSERT() [1/2]

◆ BOOST_CONCEPT_ASSERT() [2/2]

◆ BOOST_STATIC_ASSERT() [1/2]

◆ BOOST_STATIC_ASSERT() [2/2]

◆ clear()

◆ empty()

◆ end()

◆ extend() [1/2]

◆ extend() [2/2]

◆ extendAsIs()

◆ getBounds()

◆ getCharacteristics()

◆ getNormal()

◆ getUnitNormal()

◆ init()

◆ invT()

◆ isExtendable() [1/2]

◆ isExtendable() [2/2]

◆ isValid()

◆ max_size()

◆ maximalPoint()

◆ maxSize()

◆ minimalPoint()

◆ operator()()

◆ operator=()

◆ primitive()

◆ selfDisplay()

◆ size()

◆ t()

Field Documentation

◆ _orthantsToErase

◆ myComputers

◆ myOrthants

◆ myTransforms

template<typename TSpace, typename TInputPoint, typename TInternalScalar>
class DGtal::ChordGenericStandardPlaneComputer< TSpace, TInputPoint, TInternalScalar >