Aim: Adapts any model of CMetric to construct a separable metric (model of CSeparableMetric). More...

#include <DGtal/geometry/volumes/distance/SeparableMetricAdapter.h>

Public Types
typedef TMetric	Metric
	Copy the space type. More...

typedef Metric::Point	Point
	Type for points. More...

typedef Point::Coordinate	Abscissa
	Type for point abscissa. More...

typedef Metric::Value	Value
	Type for values. More...

typedef Metric::RawValue	RawValue
	Type for raw values. More...

typedef Metric::Vector	Vector
	Type for vectors. More...

typedef Metric::Space	Space
	Type for Space. More...

Public Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CMetricSpace< TMetric >))

	SeparableMetricAdapter (ConstAlias< Metric > aMetric)

	~SeparableMetricAdapter ()

	SeparableMetricAdapter (const SeparableMetricAdapter &other)

SeparableMetricAdapter &	operator= (const SeparableMetricAdapter &other)

Value	operator() (const Point &aP, const Point &aQ) const

RawValue	rawDistance (const Point &aP, const Point &aQ) const

Closest	closest (const Point &origin, const Point &first, const Point &second) const

bool	hiddenBy (const Point &u, const Point &v, const Point &w, const Point &startingPoint, const Point &endPoint, const typename Point::UnsignedComponent dim) const

void	selfDisplay (std::ostream &out) const

bool	isValid () const

Abscissa	binarySearchHidden (const Point &u, const Point &v, const typename Point::UnsignedComponent dim, const Point &lower, const Point &upper) const

Private Attributes
const Metric *	myMetric

Detailed Description

template<typename TMetric>
class DGtal::SeparableMetricAdapter< TMetric >

Aim: Adapts any model of CMetric to construct a separable metric (model of CSeparableMetric).

Description of template class 'SeparableMetricAdapter'

The adapted metric can thus be used in separable algorithms such as VoronoiMap or PowerMap. The adapted metric makes sense only if the input metric as the monotinicity propertery (see [60] or ␓[83]): In dimension 2, consider two points \( p(x,y)\), \(q(x',y')\) with \(x<x'\). Let \(r( x'',0)\) be a point on the x-axis such that \(d(p,r) = d(q,r)\) and \( s(u,0)\) be another point on the x-axis. A metric \( d\) is monotonic if

\[ u < x'' \implies d(p,s) \leq d(q,s) \]

and

\[ u > x'' \implies d(p,s) \geq d(q,s) \]

If the metric distance evaluation is in \(O(m)\), the hiddenBy() method is in \(O(m\log n)\).

Template Parameters

TMetric the type of input metric (model of CMetric)

Definition at line 79 of file SeparableMetricAdapter.h.

Member Typedef Documentation

◆ Abscissa

template<typename TMetric >

typedef Point::Coordinate DGtal::SeparableMetricAdapter< TMetric >::Abscissa

Type for point abscissa.

Definition at line 92 of file SeparableMetricAdapter.h.

◆ Metric

template<typename TMetric >

typedef TMetric DGtal::SeparableMetricAdapter< TMetric >::Metric

Copy the space type.

Definition at line 86 of file SeparableMetricAdapter.h.

◆ Point

template<typename TMetric >

typedef Metric::Point DGtal::SeparableMetricAdapter< TMetric >::Point

Type for points.

Definition at line 90 of file SeparableMetricAdapter.h.

◆ RawValue

template<typename TMetric >

typedef Metric::RawValue DGtal::SeparableMetricAdapter< TMetric >::RawValue

Type for raw values.

Definition at line 96 of file SeparableMetricAdapter.h.

◆ Space

template<typename TMetric >

typedef Metric::Space DGtal::SeparableMetricAdapter< TMetric >::Space

Type for Space.

Definition at line 100 of file SeparableMetricAdapter.h.

◆ Value

template<typename TMetric >

typedef Metric::Value DGtal::SeparableMetricAdapter< TMetric >::Value

Type for values.

Definition at line 94 of file SeparableMetricAdapter.h.

◆ Vector

template<typename TMetric >

typedef Metric::Vector DGtal::SeparableMetricAdapter< TMetric >::Vector

Type for vectors.

Definition at line 98 of file SeparableMetricAdapter.h.

Constructor & Destructor Documentation

◆ SeparableMetricAdapter() [1/2]

template<typename TMetric >

DGtal::SeparableMetricAdapter< TMetric >::SeparableMetricAdapter ( ConstAlias< Metric > aMetric )

inline

Constructor from a CMetric model instance. The metric is aliased in this class.

Parameters

[in] aMetric any model of CMetric which is monotonic.

Definition at line 108 of file SeparableMetricAdapter.h.

108 : myMetric(&aMetric)

109 {}

DGtal::SeparableMetricAdapter::myMetric

const Metric * myMetric

Definition: SeparableMetricAdapter.h:250

◆ ~SeparableMetricAdapter()

template<typename TMetric >

DGtal::SeparableMetricAdapter< TMetric >::~SeparableMetricAdapter ( )

inline

Destructor.

Definition at line 114 of file SeparableMetricAdapter.h.

114{};

◆ SeparableMetricAdapter() [2/2]

template<typename TMetric >

DGtal::SeparableMetricAdapter< TMetric >::SeparableMetricAdapter ( const SeparableMetricAdapter< TMetric > & other )

inline

Copy constructor. (CopyConstruticle concept)

Parameters

other the object to clone.

Definition at line 120 of file SeparableMetricAdapter.h.

120: myMetric(other.myMetric) {}

Member Function Documentation

◆ binarySearchHidden()

template<typename TMetric >

Abscissa DGtal::SeparableMetricAdapter< TMetric >::binarySearchHidden	(	const Point &	u,
		const Point &	v,
		const typename Point::UnsignedComponent	dim,
		const Point &	lower,
		const Point &	upper
	)		const

Perform a binary search on the interval [lower,upper] to detect the mid-point between u and v .

Precondition: udim < vdim

Parameters

u	a point
v	a point
dim	direction of the straight line
lower	starting point of the segment
upper	end point of the segment

Returns: the u Voronoi cell greatest point coordinates along dimension dim.

◆ BOOST_CONCEPT_ASSERT()

template<typename TMetric >

DGtal::SeparableMetricAdapter< TMetric >::BOOST_CONCEPT_ASSERT ( (concepts::CMetricSpace< TMetric >) )

◆ closest()

template<typename TMetric >

Closest DGtal::SeparableMetricAdapter< TMetric >::closest	(	const Point &	origin,
		const Point &	first,
		const Point &	second
	)		const

inline

Given an origin and two points, this method decides which one is closest to the origin. This method should be faster than comparing distance values.

Parameters

origin	the origin
first	the first point
second	the second point

Returns: a Closest enum: ClosestFIRST, ClosestSECOND or ClosestBOTH.

Definition at line 173 of file SeparableMetricAdapter.h.

    {
      return myMetric->closest(origin,first,second);
    }

References DGtal::SeparableMetricAdapter< TMetric >::myMetric.

◆ hiddenBy()

template<typename TMetric >

bool DGtal::SeparableMetricAdapter< TMetric >::hiddenBy	(	const Point &	u,
		const Point &	v,
		const Point &	w,
		const Point &	startingPoint,
		const Point &	endPoint,
		const typename Point::UnsignedComponent	dim
	)		const

Given three sites (u,v,w) and a straight segment [startingPoint,endPoint] along dimension dim, we detect if the voronoi cells of u and w strictly hide the voronoi cell of v on the straight line.

If operator()(p,q) of the underlying metric is in \( O(m)\), the cost of this method is \( O(mlog(n))\) (b being the number of points in [startingPoint,endPoint]).

Precondition: u,v and w must be such that u[dim] < v[dim] < w[dim]

Parameters

u	a site
v	a site
w	a site
startingPoint	starting point of the segment
endPoint	end point of the segment
dim	direction of the straight line

Returns: true if (u,w) hides v (strictly).

◆ isValid()

template<typename TMetric >

bool DGtal::SeparableMetricAdapter< TMetric >::isValid ( ) const

inline

Checks the validity/consistency of the object.

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

Definition at line 219 of file SeparableMetricAdapter.h.

    {
      return myMetric->isValid();
    }

References DGtal::SeparableMetricAdapter< TMetric >::myMetric.

◆ operator()()

template<typename TMetric >

Value DGtal::SeparableMetricAdapter< TMetric >::operator()	(	const Point &	aP,
		const Point &	aQ
	)		const

inline

Compute the distance between aP and aQ.

Parameters

aP	a first point.
aQ	a second point.

Returns: the distance between aP and aQ.

Definition at line 145 of file SeparableMetricAdapter.h.

    {
      return myMetric->operator()(aP,aQ);
    }

References DGtal::SeparableMetricAdapter< TMetric >::myMetric.

◆ operator=()

template<typename TMetric >

SeparableMetricAdapter & DGtal::SeparableMetricAdapter< TMetric >::operator= ( const SeparableMetricAdapter< TMetric > & other )

inline

Assignment. (Assignable concept)

Parameters

other the object to copy.

Returns: a reference on 'this'.

Definition at line 127 of file SeparableMetricAdapter.h.

    {
      myMetric = other.myMetric;
      return *this;
    }

References DGtal::SeparableMetricAdapter< TMetric >::myMetric.

◆ rawDistance()

template<typename TMetric >

RawValue DGtal::SeparableMetricAdapter< TMetric >::rawDistance	(	const Point &	aP,
		const Point &	aQ
	)		const

inline

Compute the raw distance between aP and aQ.

Parameters

aP	a first point.
aQ	a second point.

Returns: the distance between aP and aQ.

Definition at line 158 of file SeparableMetricAdapter.h.

    {
      return myMetric->rawDistance(aP,aQ);
    }

References DGtal::SeparableMetricAdapter< TMetric >::myMetric.

◆ selfDisplay()

template<typename TMetric >

void DGtal::SeparableMetricAdapter< TMetric >::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

◆ myMetric

template<typename TMetric >

const Metric* DGtal::SeparableMetricAdapter< TMetric >::myMetric

private

Definition at line 250 of file SeparableMetricAdapter.h.

Referenced by DGtal::SeparableMetricAdapter< TMetric >::closest(), DGtal::SeparableMetricAdapter< TMetric >::isValid(), DGtal::SeparableMetricAdapter< TMetric >::operator()(), DGtal::SeparableMetricAdapter< TMetric >::operator=(), and DGtal::SeparableMetricAdapter< TMetric >::rawDistance().

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

SeparableMetricAdapter.h

Public Types

Public Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ Abscissa

◆ Metric

◆ Point

◆ RawValue

◆ Space

◆ Value

◆ Vector

Constructor & Destructor Documentation

◆ SeparableMetricAdapter() [1/2]

◆ ~SeparableMetricAdapter()

◆ SeparableMetricAdapter() [2/2]

Member Function Documentation

◆ binarySearchHidden()

◆ BOOST_CONCEPT_ASSERT()

◆ closest()

◆ hiddenBy()

◆ isValid()

◆ operator()()

◆ operator=()

◆ rawDistance()

◆ selfDisplay()

Field Documentation

◆ myMetric