DGtal: DGtal::DigitalPlanePredicate< TSpace

Aim: Representing digital planes, which are digitizations of Euclidean planes, as point predicates. More...

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

Public Types
using	Self = DigitalPlanePredicate< TSpace >

using	Space = TSpace

using	Integer = typename Space::Integer

using	Point = typename Space::Point

using	Vector = typename Space::Vector

Public Member Functions
	DigitalPlanePredicate ()=default

	DigitalPlanePredicate (Vector const &aN, Integer const &aMu, Integer const &aNu)

	~DigitalPlanePredicate ()=default

	DigitalPlanePredicate (const DigitalPlanePredicate &other)

	DigitalPlanePredicate (DigitalPlanePredicate &&other)

DigitalPlanePredicate &	operator= (const DigitalPlanePredicate &other)

DigitalPlanePredicate &	operator= (DigitalPlanePredicate &&other)

Vector const &	normal () const

Integer	mu () const

Integer	nu () const

bool	operator() (Point const &aPoint) const

void	selfDisplay (std::ostream &out) const

bool	isValid () const

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

Private Attributes
Vector	myNormal

Integer	myMu

Integer	myNu

Detailed Description

template<typename TSpace>
class DGtal::DigitalPlanePredicate< TSpace >

Aim: Representing digital planes, which are digitizations of Euclidean planes, as point predicates.

Description of template class 'DigitalPlanePredicate'

A digital plane is a digitization of a Euclidean plane, it can be seen as the set of digital points comprised between two parallel Euclidean planes.

If N is a normal vector, \( \mu \) the lower bound and \( \nu \) the thickness then the corresponding digital plane is the set of digital points \( x \) such that \( \mu \leq x \cdot N < \mu + \nu \).

When \( \nu = \| N \|_1 \), then it represents a standard digital plane, and when \( \nu = \| N \|_\infty \), then it represents a naive digital plane.

Template Parameters

TSpace any digital space, i.e., a model of CSpace.

Models: A DigitalPlanePredicate is a model of concepts::CPointPredicate.

Definition at line 72 of file DigitalPlanePredicate.h.

Member Typedef Documentation

◆ Integer

template<typename TSpace >

using DGtal::DigitalPlanePredicate< TSpace >::Integer = typename Space::Integer

Definition at line 80 of file DigitalPlanePredicate.h.

◆ Point

template<typename TSpace >

using DGtal::DigitalPlanePredicate< TSpace >::Point = typename Space::Point

Definition at line 81 of file DigitalPlanePredicate.h.

◆ Self

template<typename TSpace >

using DGtal::DigitalPlanePredicate< TSpace >::Self = DigitalPlanePredicate<TSpace>

Definition at line 78 of file DigitalPlanePredicate.h.

◆ Space

template<typename TSpace >

using DGtal::DigitalPlanePredicate< TSpace >::Space = TSpace

Definition at line 79 of file DigitalPlanePredicate.h.

◆ Vector

template<typename TSpace >

using DGtal::DigitalPlanePredicate< TSpace >::Vector = typename Space::Vector

Definition at line 82 of file DigitalPlanePredicate.h.

Constructor & Destructor Documentation

◆ DigitalPlanePredicate() [1/4]

template<typename TSpace >

DGtal::DigitalPlanePredicate< TSpace >::DigitalPlanePredicate ( )

default

Default constructor.

◆ DigitalPlanePredicate() [2/4]

template<typename TSpace >

DGtal::DigitalPlanePredicate< TSpace >::DigitalPlanePredicate	(	Vector const &	aN,
		Integer const &	aMu,
		Integer const &	aNu
	)

Constructor from normal, lower bound and thickness.

Parameters

aN	vector that defines the normal of the plane.
aMu	constant that defines the lower bound.
aNu	constant that defines the thickness.

◆ ~DigitalPlanePredicate()

template<typename TSpace >

DGtal::DigitalPlanePredicate< TSpace >::~DigitalPlanePredicate ( )

default

Destructor.

◆ DigitalPlanePredicate() [3/4]

template<typename TSpace >

DGtal::DigitalPlanePredicate< TSpace >::DigitalPlanePredicate ( const DigitalPlanePredicate< TSpace > & other )

Copy constructor.

Parameters

other the object to clone.

◆ DigitalPlanePredicate() [4/4]

template<typename TSpace >

DGtal::DigitalPlanePredicate< TSpace >::DigitalPlanePredicate ( DigitalPlanePredicate< TSpace > && other )

Move constructor.

Parameters

other the object to move.

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT()

template<typename TSpace >

DGtal::DigitalPlanePredicate< TSpace >::BOOST_CONCEPT_ASSERT ( (concepts::CSpace< TSpace >) )

private

◆ isValid()

template<typename TSpace >

bool DGtal::DigitalPlanePredicate< TSpace >::isValid ( ) const

Checks the validity/consistency of the object.

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

◆ mu()

template<typename TSpace >

Integer DGtal::DigitalPlanePredicate< TSpace >::mu ( ) const

Returns: the lower bound defining the digital plane.

◆ normal()

template<typename TSpace >

Vector const& DGtal::DigitalPlanePredicate< TSpace >::normal ( ) const

Returns: the normal vector to the digital plane.

◆ nu()

template<typename TSpace >

Integer DGtal::DigitalPlanePredicate< TSpace >::nu ( ) const

Returns: the thickness of the digital plane.

◆ operator()()

template<typename TSpace >

bool DGtal::DigitalPlanePredicate< TSpace >::operator() ( Point const & aPoint ) const

Checks whether a point aPoint belongs to the digital plane.

Parameters

aPoint any digital point.

Returns: 'true' if p belongs to the digital plane, 'false' otherwise.

◆ operator=() [1/2]

template<typename TSpace >

DigitalPlanePredicate& DGtal::DigitalPlanePredicate< TSpace >::operator= ( const DigitalPlanePredicate< TSpace > & other )

Copy assignment operator.

Parameters

other the object to copy.

Returns: a reference on 'this'.

◆ operator=() [2/2]

template<typename TSpace >

DigitalPlanePredicate& DGtal::DigitalPlanePredicate< TSpace >::operator= ( DigitalPlanePredicate< TSpace > && other )

Move assignment operator.

Parameters

other the object to move.

Returns: a reference on 'this'.

◆ selfDisplay()

template<typename TSpace >

void DGtal::DigitalPlanePredicate< TSpace >::selfDisplay ( std::ostream & out ) const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

Field Documentation

◆ myMu

template<typename TSpace >

Integer DGtal::DigitalPlanePredicate< TSpace >::myMu

private

The lower bound.

Definition at line 178 of file DigitalPlanePredicate.h.

◆ myNormal

template<typename TSpace >

Vector DGtal::DigitalPlanePredicate< TSpace >::myNormal

private

The normal vector.

Definition at line 177 of file DigitalPlanePredicate.h.

◆ myNu

template<typename TSpace >

Integer DGtal::DigitalPlanePredicate< TSpace >::myNu

private

The thickness.

Definition at line 179 of file DigitalPlanePredicate.h.

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

DigitalPlanePredicate.h

Public Types

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

template<typename TSpace> class DGtal::DigitalPlanePredicate< TSpace >

Member Typedef Documentation

◆ Integer

◆ Point

◆ Self

◆ Space

◆ Vector

Constructor & Destructor Documentation

◆ DigitalPlanePredicate() [1/4]

◆ DigitalPlanePredicate() [2/4]

◆ ~DigitalPlanePredicate()

◆ DigitalPlanePredicate() [3/4]

◆ DigitalPlanePredicate() [4/4]

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT()

◆ isValid()

◆ mu()

◆ normal()

◆ nu()

◆ operator()()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ selfDisplay()

Field Documentation

◆ myMu

◆ myNormal

◆ myNu

template<typename TSpace>
class DGtal::DigitalPlanePredicate< TSpace >