Aim: Implementation of the linear in time Power map construction. More...

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

Inheritance diagram for DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >:

Public Types
typedef TWeightImage	WeightImage
	Copy of the distance image types.

typedef TWeightImage::Value	Weight

typedef WeightImage::Domain::Space	Space

typedef Space::Vector	Vector

typedef Space::Point	Point

typedef Space::Dimension	Dimension

typedef Space::Size	Size

typedef Space::Point::Coordinate	Abscissa

typedef TImageContainer::Domain	Domain
	Definition of the underlying domain type.

typedef TPowerSeparableMetric	PowerSeparableMetric
	We construct the type associated to the separable metric.

typedef TImageContainer	OutputImage
	Type of resulting image.

typedef Vector	Value
	Definition of the image model value type.

typedef OutputImage::ConstRange	ConstRange
	Definition of the image value type.

typedef PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >	Self
	Self type.

typedef std::array< bool, Space::dimension >	PeriodicitySpec
	Periodicity specification type.

Public Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CImage< TImageContainer >))

	BOOST_CONCEPT_ASSERT ((concepts::CConstImage< TWeightImage >))

	BOOST_CONCEPT_ASSERT ((concepts::CPowerSeparableMetric< TPowerSeparableMetric >))

	BOOST_STATIC_ASSERT ((boost::is_same< typename TWeightImage::Domain::Space, typename TImageContainer::Domain::Space >::value))

	BOOST_STATIC_ASSERT ((boost::is_same< typename TWeightImage::Domain::Space::Vector, typename TImageContainer::Value >::value))

	BOOST_STATIC_ASSERT ((boost::is_same< HyperRectDomain< typename TWeightImage::Domain::Space >, typename TImageContainer::Domain >::value))

	PowerMap (ConstAlias< Domain > aDomain, ConstAlias< WeightImage > aWeightImage, ConstAlias< PowerSeparableMetric > aMetric)

	PowerMap (ConstAlias< Domain > aDomain, ConstAlias< WeightImage > aWeightImage, ConstAlias< PowerSeparableMetric > aMetric, PeriodicitySpec const &aPeriodicitySpec)

	PowerMap ()=delete

	~PowerMap ()=default

Self &	operator= (const Self &aOtherPowerMap)=default

const Domain &	domain () const

ConstRange	constRange () const

Value	operator() (const Point &aPoint) const

const PowerSeparableMetric *	metricPtr () const

const WeightImage *	weightImagePtr () const

PeriodicitySpec const &	getPeriodicitySpec () const

bool	isPeriodic (const Dimension n) const

Point	projectPoint (Point aPoint) const

void	selfDisplay (std::ostream &out) const

Protected Attributes
const PowerSeparableMetric *	myMetricPtr
	Pointer to the separable metric instance.

CountedPtr< OutputImage >	myImagePtr
	Power map image.

const WeightImage *	myWeightImagePtr
	Pointer to the point predicate.

PeriodicitySpec	myPeriodicitySpec
	Periodicity along each dimension.

Private Member Functions
void	compute ()

void	computeOtherSteps (const Dimension dim) const

void	computeOtherStep1D (const Point &row, const Dimension dim) const

Point	projectPoint (Point aPoint, const Dimension aMaxDim) const

Point::Coordinate	projectCoordinate (typename Point::Coordinate aCoordinate, const Dimension aDim) const

Private Attributes
const Domain *	myDomainPtr
	Pointer to the computation domain.

Point	myLowerBoundCopy
	Copy of the image lower bound.

Point	myUpperBoundCopy
	Copy of the image lower bound.

Point	myInfinity
	Value to act as a +infinity value.

std::vector< Dimension >	myPeriodicityIndex
	Index of the periodic dimensions.

Point	myDomainExtent
	Domain extent.

Detailed Description

template<typename TWeightImage, typename TPowerSeparableMetric, typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>
class DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >

Aim: Implementation of the linear in time Power map construction.

Description of template class 'PowerMap'

The algorithm uses a separable process to construct Power maps as discussed in [27]. Along periodic dimensions, the algorithm is adapted following [34].

Given an image mapping points to values and a power separable metric, the class computes the power map of the weighted points specified in the image. Similarly to the VoronoiMap class, if two points are equi-distant according to the power distance, this power map will only consider one of them.

By default, the domain is considered non-periodic but per-dimension periodicity can be specified in the constructor. When the domain has periodic dimensions, the closest point coordinates B to a given point A may not be between the lower and upper bounds of the domain, in such a way that the non-periodic power distance between A and B is equal to their power distance considering the periodicity.

If the separable metric has a complexity of O(h) for its "hiddenByPower" predicate, the overall Power map construction algorithm is in \( O(h.d.n^d)\) for \( n^d\) domains (see class constructor). For Euclidean the \( l_2\) metric, the overall computation is in \( O(d.n^d)\), which is optimal.

This class is a model of concepts::CConstImage.

See also: Volumetric Analysis on Toric domains

Template Parameters

TWeightImage	model of CConstImage
TPowerSeparableMetric	model of concepts::CPowerSeparableMetric
TImageContainer	any model of CImage to store the PowerMap (default: ImageContainerBySTLVector). The space of the image container and the TSpace should match. Furthermore the container value type must be TSpace::Vector. Lastly, the domain of the container must be HyperRectDomain.

Definition at line 110 of file PowerMap.h.

Member Typedef Documentation

◆ Abscissa

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef Space::Point::Coordinate DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::Abscissa

Definition at line 127 of file PowerMap.h.

◆ ConstRange

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef OutputImage::ConstRange DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::ConstRange

Definition of the image value type.

Definition at line 153 of file PowerMap.h.

◆ Dimension

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef Space::Dimension DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::Dimension

Definition at line 125 of file PowerMap.h.

◆ Domain

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef TImageContainer::Domain DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::Domain

Definition of the underlying domain type.

Definition at line 142 of file PowerMap.h.

◆ OutputImage

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef TImageContainer DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::OutputImage

Type of resulting image.

Definition at line 148 of file PowerMap.h.

◆ PeriodicitySpec

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef std::array< bool, Space::dimension > DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::PeriodicitySpec

Periodicity specification type.

Definition at line 159 of file PowerMap.h.

◆ Point

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef Space::Point DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::Point

Definition at line 124 of file PowerMap.h.

◆ PowerSeparableMetric

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef TPowerSeparableMetric DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::PowerSeparableMetric

We construct the type associated to the separable metric.

Definition at line 145 of file PowerMap.h.

◆ Self

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef PowerMap<TWeightImage, TPowerSeparableMetric, TImageContainer> DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::Self

Self type.

Definition at line 156 of file PowerMap.h.

◆ Size

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef Space::Size DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::Size

Definition at line 126 of file PowerMap.h.

◆ Space

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef WeightImage::Domain::Space DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::Space

Definition at line 122 of file PowerMap.h.

◆ Value

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef Vector DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::Value

Definition of the image model value type.

Definition at line 151 of file PowerMap.h.

◆ Vector

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef Space::Vector DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::Vector

Definition at line 123 of file PowerMap.h.

◆ Weight

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef TWeightImage::Value DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::Weight

Definition at line 121 of file PowerMap.h.

◆ WeightImage

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

typedef TWeightImage DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::WeightImage

Copy of the distance image types.

Definition at line 120 of file PowerMap.h.

Constructor & Destructor Documentation

◆ PowerMap() [1/3]

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::PowerMap	(	ConstAlias< Domain >	aDomain,
		ConstAlias< WeightImage >	aWeightImage,
		ConstAlias< PowerSeparableMetric >	aMetric )

Constructor.

This constructor computes the Power Map of a set of point sites using a SeparableMetric metric on a non-periodic domain.

The method associates to each point satisfying the foreground predicate, the closest site for which the predicate is false.

All parameters are aliased in this class.

Note: if weights come from distance transform values, do not forget to square the distance values (for the l2 metric). I.e: \( w_i(c_i)=r_i^2\) for a ball \(B_i(c_i,r_i)\).

Parameters

aDomain	defines the (hyper-rectangular) domain on which the computation is performed.
aWeightImage	an image returning the weight for some points
aMetric	a power seprable metric instance.

◆ PowerMap() [2/3]

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::PowerMap	(	ConstAlias< Domain >	aDomain,
		ConstAlias< WeightImage >	aWeightImage,
		ConstAlias< PowerSeparableMetric >	aMetric,
		PeriodicitySpec const &	aPeriodicitySpec )

Constructor with periodicity specification.

This constructor computes the Power Map of a set of point sites using a SeparableMetric metric, on a domain with specified periodicity.

The method associates to each point satisfying the foreground predicate, the closest site for which the predicate is false.

All parameters are aliased in this class.

Parameters

aDomain	defines the (hyper-rectangular) domain on which the computation is performed.
aWeightImage	an image returning the weight for some points.
aMetric	a power separable metric instance.
aPeriodicitySpec	an array of size equal to the space dimension where the i-th value is `true` if the i-th dimension of the space is periodic, `false` otherwise.

◆ PowerMap() [3/3]

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::PowerMap ( )

delete

Disable default constructor.

◆ ~PowerMap()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::~PowerMap ( )

default

Default destructor

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT() [1/3]

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::BOOST_CONCEPT_ASSERT ( (concepts::CConstImage< TWeightImage >) )

◆ BOOST_CONCEPT_ASSERT() [2/3]

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::BOOST_CONCEPT_ASSERT ( (concepts::CImage< TImageContainer >) )

◆ BOOST_CONCEPT_ASSERT() [3/3]

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::BOOST_CONCEPT_ASSERT ( (concepts::CPowerSeparableMetric< TPowerSeparableMetric >) )

◆ BOOST_STATIC_ASSERT() [1/3]

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::BOOST_STATIC_ASSERT ( (boost::is_same< HyperRectDomain< typename TWeightImage::Domain::Space >, typename TImageContainer::Domain >::value) )

◆ BOOST_STATIC_ASSERT() [2/3]

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::BOOST_STATIC_ASSERT ( (boost::is_same< typename TWeightImage::Domain::Space, typename TImageContainer::Domain::Space >::value) )

◆ BOOST_STATIC_ASSERT() [3/3]

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::BOOST_STATIC_ASSERT ( (boost::is_same< typename TWeightImage::Domain::Space::Vector, typename TImageContainer::Value >::value) )

◆ compute()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

void DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::compute ( )

private

Compute the Power Map of a set of point sites using a SeparableMetric metric. The method associates to each point satisfying the foreground predicate, the closest site for which the predicate is false. This algorithm is O(d.|domain size|).

◆ computeOtherStep1D()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

void DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::computeOtherStep1D	(	const Point &	row,
		const Dimension	dim ) const

private

Given a voronoi map valid at dimension dim-1, this method updates the map to make it consistent at dimension dim along the 1D span starting at row along the dimension dim.

Parameters

row	starting point of the 1D process.
dim	dimension of the update.

◆ computeOtherSteps()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

void DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::computeOtherSteps ( const Dimension dim ) const

private

Compute the other steps of the separable Power map.

Parameters

dim	the dimension to process

◆ constRange()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

ConstRange DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::constRange ( ) const

inline

Returns a const range on the Power map values.

Returns: a const range

Definition at line 249 of file PowerMap.h.

    {
      return myImagePtr->constRange();
    }

References DGtal::ImageContainerBySTLVector< TDomain, TValue >::constRange(), and DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myImagePtr.

◆ domain()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

const Domain & DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::domain ( ) const

inline

Returns a reference (const) to the Power map domain.

Returns: a domain

Definition at line 239 of file PowerMap.h.

    {
      return *myDomainPtr;
    }

References DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myDomainPtr.

Referenced by checkPowerMap(), and DGtal::ReverseDistanceTransformation< TWeightImage, TPSeparableMetric, TImageContainer >::domain().

◆ getPeriodicitySpec()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

PeriodicitySpec const & DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::getPeriodicitySpec ( ) const

inline

Periodicity specification.

Returns: the periodicity specification array.

Definition at line 284 of file PowerMap.h.

      {
        return myPeriodicitySpec;
      }

References DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myPeriodicitySpec.

◆ isPeriodic()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

bool DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::isPeriodic ( const Dimension n ) const

inline

Periodicity specification along one dimensions.

Parameters

[in] n the dimension index.

Returns: true if the n-th dimension is periodic, false otherwise.

Definition at line 295 of file PowerMap.h.

      {
        return myPeriodicitySpec[ n ];
      }

References DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myPeriodicitySpec.

Referenced by checkPowerMap().

◆ metricPtr()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

const PowerSeparableMetric * DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::metricPtr ( ) const

inline

Returns: Returns the underlying metric.

Definition at line 267 of file PowerMap.h.

    {
      return myMetricPtr;
    }

References DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myMetricPtr.

Referenced by checkPowerMap(), and DGtal::ReverseDistanceTransformation< TWeightImage, TPSeparableMetric, TImageContainer >::metricPtr().

◆ operator()()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

Value DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::operator() ( const Point & aPoint ) const

inline

Access to a Power value (a.k.a. vector to the closest site) at a point.

Parameters

aPoint the point to probe.

Definition at line 259 of file PowerMap.h.

    {
      return myImagePtr->operator()(aPoint);
    }

References aPoint(), and DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myImagePtr.

◆ operator=()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

Self & DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::operator= ( const Self & aOtherPowerMap )

default

Assignment operator from another Power map.

Parameters

aOtherPowerMap another instance of Self

Returns: a reference to Self

◆ projectCoordinate()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

Point::Coordinate DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::projectCoordinate	(	typename Point::Coordinate	aCoordinate,
		const Dimension	aDim ) const

private

Project a coordinate into the domain, taking into account the periodicity.

Precondition: The given coordinate must come from operator()(const Point &) const (for performance reasons).

Parameters

aCoordinate	the coordinate.
aDim	dimension of the coordinate.

Returns: the coordinates projected into the domain bounds accordingly to the periodicity specification.

◆ projectPoint() [1/2]

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

Point DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::projectPoint ( Point aPoint ) const

Project point coordinates into the domain, taking into account the periodicity.

Precondition: The given point must come from operator()(const Point &) const (for performance reasons).

Parameters

aPoint the point to project

Returns: the coordinates projected into the domain bounds accordingly to the periodicity specification.

Referenced by checkPowerMap().

◆ projectPoint() [2/2]

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

Point DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::projectPoint	(	Point	aPoint,
		const Dimension	aMaxDim ) const

private

Project point coordinates into the domain, taking into account the periodicity up to a fixed dimension.

Precondition: The given point must come from operator()(const Point &) const (for performance reasons).

Parameters

aPoint	the point to project
aMaxDim	maximal dimension along which to project the coordinates.

Returns: the coordinates projected into the domain bounds accordingly to the periodicity specification, and only for dimension lower or equal to aMaxDim.

◆ selfDisplay()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

void DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::selfDisplay ( std::ostream & out ) const

Self Display method.

Parameters

out	output stream

Referenced by DGtal::ReverseDistanceTransformation< TWeightImage, TPSeparableMetric, TImageContainer >::selfDisplay().

◆ weightImagePtr()

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

const WeightImage * DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::weightImagePtr ( ) const

inline

Returns: Returns the underlying weight image.

Definition at line 275 of file PowerMap.h.

    {
      return myWeightImagePtr;
    }

References DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myWeightImagePtr.

Referenced by checkPowerMap().

Field Documentation

◆ myDomainExtent

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

Point DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myDomainExtent

private

Domain extent.

Definition at line 401 of file PowerMap.h.

◆ myDomainPtr

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

const Domain* DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myDomainPtr

private

Pointer to the computation domain.

Definition at line 386 of file PowerMap.h.

Referenced by DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::domain().

◆ myImagePtr

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

CountedPtr<OutputImage> DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myImagePtr

protected

Power map image.

Definition at line 408 of file PowerMap.h.

Referenced by DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::constRange(), DGtal::ReverseDistanceTransformation< TWeightImage, TPSeparableMetric, TImageContainer >::getPowerVector(), DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::operator()(), and DGtal::ReverseDistanceTransformation< TWeightImage, TPSeparableMetric, TImageContainer >::operator()().

◆ myInfinity

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

Point DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myInfinity

private

Value to act as a +infinity value.

Definition at line 395 of file PowerMap.h.

◆ myLowerBoundCopy

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

Point DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myLowerBoundCopy

private

Copy of the image lower bound.

Definition at line 389 of file PowerMap.h.

◆ myMetricPtr

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

const PowerSeparableMetric* DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myMetricPtr

protected

Pointer to the separable metric instance.

Definition at line 405 of file PowerMap.h.

Referenced by DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::metricPtr(), and DGtal::ReverseDistanceTransformation< TWeightImage, TPSeparableMetric, TImageContainer >::operator()().

◆ myPeriodicityIndex

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

std::vector< Dimension > DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myPeriodicityIndex

private

Index of the periodic dimensions.

Definition at line 398 of file PowerMap.h.

◆ myPeriodicitySpec

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

PeriodicitySpec DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myPeriodicitySpec

protected

Periodicity along each dimension.

Definition at line 414 of file PowerMap.h.

Referenced by DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::getPeriodicitySpec(), and DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::isPeriodic().

◆ myUpperBoundCopy

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

Point DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myUpperBoundCopy

private

Copy of the image lower bound.

Definition at line 392 of file PowerMap.h.

◆ myWeightImagePtr

template<typename TWeightImage , typename TPowerSeparableMetric , typename TImageContainer = ImageContainerBySTLVector<HyperRectDomain<typename TWeightImage::Domain::Space>, typename TWeightImage::Domain::Space::Vector>>

const WeightImage* DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::myWeightImagePtr

protected

Pointer to the point predicate.

Definition at line 411 of file PowerMap.h.

Referenced by DGtal::PowerMap< TWeightImage, TPowerSeparableMetric, TImageContainer >::weightImagePtr().

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

PowerMap.h

Public Types

Public Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ Abscissa

◆ ConstRange

◆ Dimension

◆ Domain

◆ OutputImage

◆ PeriodicitySpec

◆ Point

◆ PowerSeparableMetric

◆ Self

◆ Size

◆ Space

◆ Value

◆ Vector

◆ Weight

◆ WeightImage

Constructor & Destructor Documentation

◆ PowerMap() [1/3]

◆ PowerMap() [2/3]

◆ PowerMap() [3/3]

◆ ~PowerMap()

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT() [1/3]

◆ BOOST_CONCEPT_ASSERT() [2/3]

◆ BOOST_CONCEPT_ASSERT() [3/3]

◆ BOOST_STATIC_ASSERT() [1/3]

◆ BOOST_STATIC_ASSERT() [2/3]

◆ BOOST_STATIC_ASSERT() [3/3]

◆ compute()

◆ computeOtherStep1D()

◆ computeOtherSteps()

◆ constRange()

◆ domain()

◆ getPeriodicitySpec()

◆ isPeriodic()

◆ metricPtr()

◆ operator()()

◆ operator=()

◆ projectCoordinate()

◆ projectPoint() [1/2]

◆ projectPoint() [2/2]

◆ selfDisplay()

◆ weightImagePtr()

Field Documentation

◆ myDomainExtent

◆ myDomainPtr

◆ myImagePtr

◆ myInfinity

◆ myLowerBoundCopy

◆ myMetricPtr

◆ myPeriodicityIndex

◆ myPeriodicitySpec

◆ myUpperBoundCopy

◆ myWeightImagePtr