Aim: Implementation of the linear in time distance transformation for separable metrics. More...

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

Inheritance diagram for DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >:

Public Types
typedef TSeparableMetric	SeparableMetric
	Separable Metric type. More...

typedef TSpace	Space
	Separable Metric type. More...

typedef TSpace::Vector	Vector
	Separable Metric type. More...

typedef TPointPredicate	PointPredicate
	Point Predicate type. More...

typedef SeparableMetric::Value	Value
	Definition of the image value type. More...

typedef SeparableMetric::Point	Point
	Definition of the image value type. More...

typedef DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric >	Self
	Definition of the image. More...

typedef VoronoiMap< TSpace, TPointPredicate, TSeparableMetric >	Parent

typedef DefaultConstImageRange< Self >	ConstRange
	Definition of the image constRange. More...

typedef VoronoiMap< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::Domain	Domain
	Definition of the image value type. More...

Public Types inherited from DGtal::VoronoiMap< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >
typedef TSpace	Space
	Copy of the space type. More...

typedef TPointPredicate	PointPredicate
	Copy of the point predicate type. More...

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

typedef TSeparableMetric	SeparableMetric
	Definition of the separable metric type. More...

typedef DGtal::int64_t	IntegerLong
	Large integer type for SeparableMetricHelper construction. More...

typedef Space::Vector	Vector

typedef Space::Point	Point

typedef Space::Dimension	Dimension

typedef Space::Size	Size

typedef Space::Point::Coordinate	Abscissa

typedef TImageContainer	OutputImage
	Type of resulting image. More...

typedef Vector	Value
	Definition of the image value type. More...

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

typedef VoronoiMap< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >	Self
	Self type. More...

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

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

	BOOST_CONCEPT_ASSERT ((concepts::CPointPredicate< TPointPredicate >))

	BOOST_CONCEPT_ASSERT ((concepts::CSeparableMetric< TSeparableMetric >))

	BOOST_STATIC_ASSERT ((boost::is_same< typename Space::Point, typename SeparableMetric::Point >::value))

	DistanceTransformation (ConstAlias< Domain > aDomain, ConstAlias< PointPredicate > predicate, ConstAlias< SeparableMetric > aMetric)

	DistanceTransformation (ConstAlias< Domain > aDomain, ConstAlias< PointPredicate > predicate, ConstAlias< SeparableMetric > aMetric, typename Parent::PeriodicitySpec const &aPeriodicitySpec)

	~DistanceTransformation ()

const Domain &	domain () const

ConstRange	constRange () const

Value	operator() (const Point &aPoint) const

Vector	getVoronoiSite (const Point &aPoint) const

const SeparableMetric *	metric () const

void	selfDisplay (std::ostream &out) const

Public Member Functions inherited from DGtal::VoronoiMap< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >
	BOOST_CONCEPT_ASSERT ((concepts::CSpace< TSpace >))

	BOOST_CONCEPT_ASSERT ((concepts::CPointPredicate< TPointPredicate >))

	BOOST_CONCEPT_ASSERT ((concepts::CSeparableMetric< TSeparableMetric >))

	BOOST_CONCEPT_ASSERT ((concepts::CImage< TImageContainer >))

	BOOST_STATIC_ASSERT ((boost::is_same< typename TSpace::Point, typename TPointPredicate::Point >::value))
	Both Space points and PointPredicate points must be the same. More...

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

	BOOST_STATIC_ASSERT ((boost::is_same< typename TSpace::Vector, typename TImageContainer::Value >::value))

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

	VoronoiMap (ConstAlias< Domain > aDomain, ConstAlias< PointPredicate > predicate, ConstAlias< SeparableMetric > aMetric)

	VoronoiMap (ConstAlias< Domain > aDomain, ConstAlias< PointPredicate > predicate, ConstAlias< SeparableMetric > aMetric, PeriodicitySpec const &aPeriodicitySpec)

	~VoronoiMap ()=default

	VoronoiMap ()=delete

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

const Domain &	domain () const

ConstRange	constRange () const

Value	operator() (const Point &aPoint) const

const SeparableMetric *	metric () const

PeriodicitySpec const &	getPeriodicitySpec () const

bool	isPeriodic (const Dimension n) const

Point	projectPoint (Point aPoint) const

void	selfDisplay (std::ostream &out) const

Protected Member Functions
	DistanceTransformation ()

Additional Inherited Members
Protected Attributes inherited from DGtal::VoronoiMap< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >
const SeparableMetric *	myMetricPtr
	Pointer to the separable metric instance. More...

CountedPtr< OutputImage >	myImagePtr
	Voronoi map image. More...

PeriodicitySpec	myPeriodicitySpec
	Periodicity along each dimension. More...

Detailed Description

template<typename TSpace, typename TPointPredicate, typename TSeparableMetric, typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>
class DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >

Aim: Implementation of the linear in time distance transformation for separable metrics.

Description of template class 'DistanceTransformation'

This class is a wrapper around a Voronoi map construction (see VoronoiMap). More precisely, at a point p, since the VoronoiMap at p returns a vector to the closest site, this class adapts the operator() in order to returns the distance to the closest site for the considered metric.

Please refer to VoronoiMap documentation for details on the computational cost and parameter description.

This class is a model of concepts::CConstImage.

Template Parameters

TSpace	type of Digital Space (model of concepts::CSpace).
TPointPredicate	point predicate returning false for points from which we compute the distance (model of concepts::CPointPredicate)
TSeparableMetric	a model of concepts::CSeparableMetric
TImageContainer	any model of concepts::CImage to store the VoronoiMap (default: ImageContainerBySTLVector). The space of the image container and the TSpace should match. Furthermore the container value type must be TSpace::Vector.

See also: distancetransform2D.cpp; distancetransform3D.cpp

Examples: geometry/volumes/distance/distancetransform2D.cpp, geometry/volumes/distance/distancetransform3D.cpp, geometry/volumes/distance/toricdomainvolumetric.cpp, geometry/volumes/distance/voronoimap2D.cpp, and tutorial-examples/volDTGranulo.cpp.

Definition at line 98 of file DistanceTransformation.h.

Member Typedef Documentation

◆ ConstRange

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

typedef DefaultConstImageRange<Self> DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::ConstRange

Definition of the image constRange.

Definition at line 133 of file DistanceTransformation.h.

◆ Domain

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

typedef VoronoiMap<TSpace,TPointPredicate,TSeparableMetric,TImageContainer>::Domain DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::Domain

Definition of the image value type.

Definition at line 138 of file DistanceTransformation.h.

◆ Parent

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

typedef VoronoiMap<TSpace,TPointPredicate,TSeparableMetric> DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::Parent

Definition at line 130 of file DistanceTransformation.h.

◆ Point

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

typedef SeparableMetric::Point DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::Point

Definition of the image value type.

Definition at line 123 of file DistanceTransformation.h.

◆ PointPredicate

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

typedef TPointPredicate DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::PointPredicate

Point Predicate type.

Definition at line 117 of file DistanceTransformation.h.

◆ Self

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

typedef DistanceTransformation<TSpace,TPointPredicate,TSeparableMetric> DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::Self

Definition of the image.

Definition at line 128 of file DistanceTransformation.h.

◆ SeparableMetric

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

typedef TSeparableMetric DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::SeparableMetric

Separable Metric type.

Definition at line 108 of file DistanceTransformation.h.

◆ Space

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

typedef TSpace DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::Space

Separable Metric type.

Definition at line 111 of file DistanceTransformation.h.

◆ Value

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

typedef SeparableMetric::Value DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::Value

Definition of the image value type.

Definition at line 120 of file DistanceTransformation.h.

◆ Vector

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

typedef TSpace::Vector DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::Vector

Separable Metric type.

Definition at line 114 of file DistanceTransformation.h.

Constructor & Destructor Documentation

◆ DistanceTransformation() [1/3]

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::DistanceTransformation	(	ConstAlias< Domain >	aDomain,
		ConstAlias< PointPredicate >	predicate,
		ConstAlias< SeparableMetric >	aMetric
	)

inline

Constructor in the non-periodic case.

See documentation of VoronoiMap constructor.

Definition at line 145 of file DistanceTransformation.h.

                                                               :
      VoronoiMap<TSpace,TPointPredicate,TSeparableMetric,TImageContainer>(aDomain,
                                                                          predicate,
                                                                          aMetric)
    {}

◆ DistanceTransformation() [2/3]

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::DistanceTransformation	(	ConstAlias< Domain >	aDomain,
		ConstAlias< PointPredicate >	predicate,
		ConstAlias< SeparableMetric >	aMetric,
		typename Parent::PeriodicitySpec const &	aPeriodicitySpec
	)

inline

Constructor with periodicity specification.

See documentation of VoronoiMap constructor.

Definition at line 158 of file DistanceTransformation.h.

      : VoronoiMap<TSpace,TPointPredicate,TSeparableMetric,TImageContainer>(aDomain,
                                                                            predicate,
                                                                            aMetric,
                                                                            aPeriodicitySpec)
    {}

◆ ~DistanceTransformation()

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::~DistanceTransformation ( )

inline

Default destructor

Definition at line 171 of file DistanceTransformation.h.

171{};

◆ DistanceTransformation() [3/3]

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::DistanceTransformation ( )

protected

Default Constructor.

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT() [1/3]

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::BOOST_CONCEPT_ASSERT ( (concepts::CPointPredicate< TPointPredicate >) )

◆ BOOST_CONCEPT_ASSERT() [2/3]

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::BOOST_CONCEPT_ASSERT ( (concepts::CSeparableMetric< TSeparableMetric >) )

◆ BOOST_CONCEPT_ASSERT() [3/3]

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::BOOST_CONCEPT_ASSERT ( (concepts::CSpace< TSpace >) )

◆ BOOST_STATIC_ASSERT()

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::BOOST_STATIC_ASSERT ( (boost::is_same< typename Space::Point, typename SeparableMetric::Point >::value) )

◆ constRange()

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

ConstRange DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::constRange ( ) const

inline

Returns a const range on the DistanceMap values.

Returns: a const range

Definition at line 189 of file DistanceTransformation.h.

    {
      return ConstRange(*this);
    }

◆ domain()

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

const Domain & DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::domain ( ) const

inline

Returns a const range on the DistanceMap values.

Returns: a const range

Definition at line 180 of file DistanceTransformation.h.

    {
      return Parent::domain();
    }

References DGtal::VoronoiMap< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::domain().

◆ getVoronoiSite()

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

Vector DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::getVoronoiSite ( const Point & aPoint ) const

inline

Access to the Voronoi site inducing the DistanceMap value (a.k.a. the vector such that its norm is the DT value) at a point.

Parameters

[in] aPoint the point to probe.

Definition at line 212 of file DistanceTransformation.h.

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

References aPoint(), and DGtal::VoronoiMap< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::myImagePtr.

◆ metric()

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

const SeparableMetric * DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::metric ( ) const

inline

Returns: Returns the underlying metric.

Definition at line 220 of file DistanceTransformation.h.

    {
      return Parent::metric();
    }

References DGtal::VoronoiMap< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::metric().

◆ operator()()

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

Value DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::operator() ( const Point & aPoint ) const

inline

Access to a DistanceMap value (a.k.a. the norm of the associated Voronoi vector) at a point.

Parameters

aPoint the point to probe.

Definition at line 200 of file DistanceTransformation.h.

    {
      return this->myMetricPtr->operator()(aPoint,
                                           this->myImagePtr->operator()(aPoint));
    }

References aPoint(), DGtal::VoronoiMap< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::myImagePtr, and DGtal::VoronoiMap< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::myMetricPtr.

◆ selfDisplay()

template<typename TSpace , typename TPointPredicate , typename TSeparableMetric , typename TImageContainer = ImageContainerBySTLVector< HyperRectDomain<TSpace>, typename TSpace::Vector >>

void DGtal::DistanceTransformation< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::selfDisplay ( std::ostream & out ) const

inline

Self Display method.

Parameters

[out] out output stream

Definition at line 230 of file DistanceTransformation.h.

    {
      out << "[DistanceTransformation] underlying VoronoiMap={";
      Parent::selfDisplay(out);
      out << "}";
    }

References DGtal::VoronoiMap< TSpace, TPointPredicate, TSeparableMetric, TImageContainer >::selfDisplay().

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

DistanceTransformation.h

Public Types

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ ConstRange

◆ Domain

◆ Parent

◆ Point

◆ PointPredicate

◆ Self

◆ SeparableMetric

◆ Space

◆ Value

◆ Vector

Constructor & Destructor Documentation

◆ DistanceTransformation() [1/3]

◆ DistanceTransformation() [2/3]

◆ ~DistanceTransformation()

◆ DistanceTransformation() [3/3]

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT() [1/3]

◆ BOOST_CONCEPT_ASSERT() [2/3]

◆ BOOST_CONCEPT_ASSERT() [3/3]

◆ BOOST_STATIC_ASSERT()

◆ constRange()

◆ domain()

◆ getVoronoiSite()

◆ metric()

◆ operator()()

◆ selfDisplay()