DGtal::detail::PointOnProbingRay< Integer, Index > Class Template Reference

A ray consists of a permutation \( \sigma \) and an integer index \( \lambda \) (position on the ray). For a triplet of vectors \( (m_k)_{0 \leq k \leq 2} \) and a point \( q \), a point on the ray is defined as: \( q - m_{\sigma(0)} + m_{\sigma(1)} + \lambda m_{\sigma(2)} \). \( q - m_{\sigma(0)} + m_{\sigma(1)} \) is called the base point. More...

#include <DGtal/geometry/helpers/PlaneProbingEstimatorHelper.h>

Inheritance diagram for DGtal::detail::PointOnProbingRay< Integer, Index >:

Public Types
using	Permutation = std::array<Index, 3>

Public Member Functions
	PointOnProbingRay ()=default
	PointOnProbingRay (Permutation const &aSigma, Integer const &aInt=Integer(0))
PointOnProbingRay	getBase () const
Permutation const &	sigma () const
Index	sigma (Index const &aIndex) const
Integer const &	position () const
template<typename Point>
Point	relativePoint (std::array< Point, 3 > const &aM) const
bool	operator== (PointOnProbingRay const &aRay) const
bool	operator!= (PointOnProbingRay const &aRay) const
bool	operator<= (PointOnProbingRay const &aRay) const
PointOnProbingRay	next (Integer const &aInc) const
PointOnProbingRay	previous (Integer const &aDec) const

Private Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CInteger< Integer >))

Private Attributes
Permutation	mySigma
Integer	myPosition

Detailed Description

template<typename Integer = int, typename Index = std::size_t>
class DGtal::detail::PointOnProbingRay< Integer, Index >

A ray consists of a permutation \( \sigma \) and an integer index \( \lambda \) (position on the ray). For a triplet of vectors \( (m_k)_{0 \leq k \leq 2} \) and a point \( q \), a point on the ray is defined as: \( q - m_{\sigma(0)} + m_{\sigma(1)} + \lambda m_{\sigma(2)} \). \( q - m_{\sigma(0)} + m_{\sigma(1)} \) is called the base point.

Description of template class 'PointOnProbingRay'

This class is used to represent points on rays for a plane-probing estimator, so in practice the point \( q \) is the fixed point and the three vectors \( (m_k)_{0 \leq k \leq 2} \) are the vectors defining the current probing frame.

Template Parameters

Integer

the integer type, model of concepts::CInteger.

Definition at line 112 of file PlaneProbingEstimatorHelper.h.

Member Typedef Documentation

Permutation

template<typename Integer = int, typename Index = std::size_t>

using DGtal::detail::PointOnProbingRay< Integer, Index >::Permutation = std::array<Index, 3>

Definition at line 118 of file PlaneProbingEstimatorHelper.h.

Constructor & Destructor Documentation

PointOnProbingRay() [1/2]

template<typename Integer = int, typename Index = std::size_t>

DGtal::detail::PointOnProbingRay< Integer, Index >::PointOnProbingRay ( )

default

Default constructor.

PointOnProbingRay() [2/2]

template<typename Integer = int, typename Index = std::size_t>

DGtal::detail::PointOnProbingRay< Integer, Index >::PointOnProbingRay	(	Permutation const &	aSigma,
		Integer const &	aInt = Integer(0) )

Constructs a ray with a permutation and an index.

Parameters

aSigma	a permutation.
aInt	an integer that determines a point along the ray.

Member Function Documentation

BOOST_CONCEPT_ASSERT()

template<typename Integer = int, typename Index = std::size_t>

DGtal::detail::PointOnProbingRay< Integer, Index >::BOOST_CONCEPT_ASSERT ( (concepts::CInteger< Integer >) )

private

getBase()

template<typename Integer = int, typename Index = std::size_t>

PointOnProbingRay DGtal::detail::PointOnProbingRay< Integer, Index >::getBase

(

)

const

Returns

the base point of the ray (with index 0).

next()

template<typename Integer = int, typename Index = std::size_t>

PointOnProbingRay DGtal::detail::PointOnProbingRay< Integer, Index >::next

(

Integer const &

aInc

)

const

Parameters

aInc	an increment.

Returns

a new point on a ray, with index the current index incremented by aInc.

operator!=()

template<typename Integer = int, typename Index = std::size_t>

bool DGtal::detail::PointOnProbingRay< Integer, Index >::operator!=

(

PointOnProbingRay< Integer, Index > const &

aRay

)

const

Inequality test between two rays.

Parameters

aRay	an other ray.

Returns

true if the two rays are different, false otherwise.

operator<=()

template<typename Integer = int, typename Index = std::size_t>

bool DGtal::detail::PointOnProbingRay< Integer, Index >::operator<=

(

PointOnProbingRay< Integer, Index > const &

aRay

)

const

Comparison operator between two rays: one ray is less than another if they have the same internal permutation and the first one has a smaller index than the second one.

Parameters

aRay	an other ray.

Returns

true if *this <= aRay, false otherwise.

operator==()

template<typename Integer = int, typename Index = std::size_t>

bool DGtal::detail::PointOnProbingRay< Integer, Index >::operator==

(

PointOnProbingRay< Integer, Index > const &

aRay

)

const

Equality test between two rays: the internal permutations and indices must be the same.

Parameters

aRay	an other ray.

Returns

true if the two rays are the same, false otherwise.

position()

template<typename Integer = int, typename Index = std::size_t>

Integer const & DGtal::detail::PointOnProbingRay< Integer, Index >::position

(

)

const

Returns

integer that locates the current point on the ray.

previous()

template<typename Integer = int, typename Index = std::size_t>

PointOnProbingRay DGtal::detail::PointOnProbingRay< Integer, Index >::previous

(

Integer const &

aDec

)

const

Parameters

aDec	a decrement.

Returns

a new point on a ray, with index the current index decremented by aInc.

relativePoint()

template<typename Integer = int, typename Index = std::size_t>

template<typename Point>

Point DGtal::detail::PointOnProbingRay< Integer, Index >::relativePoint

(

std::array< Point, 3 > const &

aM

)

const

Returns the geometric realization of this grid point.

Parameters

aM	an array of three points.

Template Parameters

Point

a type for points.

Returns

the computed point.

sigma() [1/2]

template<typename Integer = int, typename Index = std::size_t>

Permutation const & DGtal::detail::PointOnProbingRay< Integer, Index >::sigma

(

)

const

Returns

the permutation that defines the ray.

sigma() [2/2]

template<typename Integer = int, typename Index = std::size_t>

Index DGtal::detail::PointOnProbingRay< Integer, Index >::sigma

(

Index const &

aIndex

)

const

Parameters

aIndex

an index between 0 and 2.

Returns

the i-th element of the permutation that defines the ray.

Field Documentation

myPosition

template<typename Integer = int, typename Index = std::size_t>

Integer DGtal::detail::PointOnProbingRay< Integer, Index >::myPosition

private

The index.

Definition at line 207 of file PlaneProbingEstimatorHelper.h.

mySigma

template<typename Integer = int, typename Index = std::size_t>

Permutation DGtal::detail::PointOnProbingRay< Integer, Index >::mySigma

private

The permutation.

Definition at line 206 of file PlaneProbingEstimatorHelper.h.

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

• PlaneProbingEstimatorHelper.h