#include <itkKdTree.h>

Detailed Description

template<typename TSample>
class itk::Statistics::KdTree< TSample >

This class provides methods for k-nearest neighbor search and related data structures for a k-d tree.

An object of this class stores instance identifiers in a k-d tree that is a binary tree with children split along a dimension among k-dimensions. The dimension of the split (or partition) is determined for each nonterminal node that has two children. The split process is terminated when the node has no children (when the number of measurement vectors is less than or equal to the size set by the SetBucketSize. That is The split process is a recursive process in nature and in implementation. This implementation doesn't support dynamic insert and delete operations for the tree. Instead, we can use the KdTreeGenerator or WeightedCentroidKdTreeGenerator to generate a static KdTree object.

To search k-nearest neighbor, call the Search method with the query point in a k-d space and the number of nearest neighbors. The GetSearchResult method returns a pointer to a NearestNeighbors object with k-nearest neighbors.

Recent API changes: The static const macro to get the length of a measurement vector, 'MeasurementVectorSize' has been removed to allow the length of a measurement vector to be specified at run time. Please use the function GetMeasurementVectorSize() instead.

See also: KdTreeNode, KdTreeNonterminalNode, KdTreeWeightedCentroidNonterminalNode, KdTreeTerminalNode, KdTreeGenerator, WeightedCentroidKdTreeNode

Definition at line 527 of file itkKdTree.h.

Inheritance diagram for itk::Statistics::KdTree< TSample >:

Collaboration diagram for itk::Statistics::KdTree< TSample >:

Classes
class	NearestNeighbors

Public Types
using	AbsoluteFrequencyType = typename TSample::AbsoluteFrequencyType

using	ConstIterator = typename TSample::ConstIterator

using	ConstPointer = SmartPointer< const Self >

using	DistanceMetricType = EuclideanDistanceMetric< MeasurementVectorType >

using	InstanceIdentifier = typename TSample::InstanceIdentifier

using	InstanceIdentifierVectorType = std::vector< InstanceIdentifier >

using	Iterator = typename TSample::Iterator

using	KdTreeNodeType = KdTreeNode< TSample >

using	MeasurementType = typename TSample::MeasurementType

using	MeasurementVectorSizeType = unsigned int

using	MeasurementVectorType = typename TSample::MeasurementVectorType

using	NeighborType = std::pair< InstanceIdentifier, double >

using	Pointer = SmartPointer< Self >

using	SampleType = TSample

using	Self = KdTree

using	Superclass = Object

Public Types inherited from itk::Object
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	Self = Object

using	Superclass = LightObject

Public Types inherited from itk::LightObject
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	Self = LightObject

Public Member Functions
bool	BallWithinBounds (const MeasurementVectorType &, MeasurementVectorType &, MeasurementVectorType &, double) const

bool	BoundsOverlapBall (const MeasurementVectorType &, MeasurementVectorType &, MeasurementVectorType &, double) const

void	DeleteNode (KdTreeNodeType *)

DistanceMetricType *	GetDistanceMetric ()

KdTreeNodeType *	GetEmptyTerminalNode ()

AbsoluteFrequencyType	GetFrequency (InstanceIdentifier id) const

const MeasurementVectorType &	GetMeasurementVector (InstanceIdentifier id) const

virtual MeasurementVectorSizeType	GetMeasurementVectorSize () const

const char *	GetNameOfClass () const override

KdTreeNodeType *	GetRoot ()

const TSample *	GetSample () const

void	PlotTree (KdTreeNodeType *node, std::ostream &os=std::cout) const

void	PlotTree (std::ostream &os) const

void	PrintTree (KdTreeNodeType *, unsigned int, unsigned int, std::ostream &os=std::cout) const

void	PrintTree (std::ostream &) const

void	Search (const MeasurementVectorType &, double, InstanceIdentifierVectorType &) const

void	Search (const MeasurementVectorType &, unsigned int, InstanceIdentifierVectorType &) const

void	Search (const MeasurementVectorType &, unsigned int, InstanceIdentifierVectorType &, std::vector< double > &) const

void	SetBucketSize (unsigned int)

void	SetSample (const TSample *)

SizeValueType	Size () const


void	SetRoot (KdTreeNodeType *root)

Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *cmd) const

unsigned long	AddObserver (const EventObject &event, std::function< void(const EventObject &)> function) const

LightObject::Pointer	CreateAnother () const override

virtual void	DebugOff () const

virtual void	DebugOn () const

Command *	GetCommand (unsigned long tag)

bool	GetDebug () const

MetaDataDictionary &	GetMetaDataDictionary ()

const MetaDataDictionary &	GetMetaDataDictionary () const

virtual ModifiedTimeType	GetMTime () const

virtual const TimeStamp &	GetTimeStamp () const

bool	HasObserver (const EventObject &event) const

void	InvokeEvent (const EventObject &)

void	InvokeEvent (const EventObject &) const

virtual void	Modified () const

void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag) const

void	SetDebug (bool debugFlag) const

void	SetReferenceCount (int) override

void	UnRegister () const noexcept override

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

void	SetMetaDataDictionary (MetaDataDictionary &&rrhs)

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

Public Member Functions inherited from itk::LightObject
Pointer	Clone () const

virtual void	Delete ()

virtual int	GetReferenceCount () const

void	Print (std::ostream &os, Indent indent=0) const

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::Object
static bool	GetGlobalWarningDisplay ()

static void	GlobalWarningDisplayOff ()

static void	GlobalWarningDisplayOn ()

static Pointer	New ()

static void	SetGlobalWarningDisplay (bool val)

Static Public Member Functions inherited from itk::LightObject
static void	BreakOnError ()

static Pointer	New ()

Protected Member Functions
	KdTree ()

int	NearestNeighborSearchLoop (const KdTreeNodeType *, const MeasurementVectorType &, MeasurementVectorType &, MeasurementVectorType &, NearestNeighbors &) const

void	PrintSelf (std::ostream &os, Indent indent) const override

int	SearchLoop (const KdTreeNodeType *, const MeasurementVectorType &, double, MeasurementVectorType &, MeasurementVectorType &, InstanceIdentifierVectorType &) const

	~KdTree () override

Protected Member Functions inherited from itk::Object
	Object ()

bool	PrintObservers (std::ostream &os, Indent indent) const

virtual void	SetTimeStamp (const TimeStamp &timeStamp)

	~Object () override

Protected Member Functions inherited from itk::LightObject
virtual LightObject::Pointer	InternalClone () const

	LightObject ()

virtual void	PrintHeader (std::ostream &os, Indent indent) const

virtual void	PrintTrailer (std::ostream &os, Indent indent) const

virtual	~LightObject ()

Private Attributes
int	m_BucketSize {}

DistanceMetricType::Pointer	m_DistanceMetric {}

KdTreeNodeType *	m_EmptyTerminalNode {}

MeasurementVectorSizeType	m_MeasurementVectorSize {}

KdTreeNodeType *	m_Root {}

const TSample *	m_Sample {}

Additional Inherited Members
Protected Attributes inherited from itk::LightObject
std::atomic< int >	m_ReferenceCount {}

Member Typedef Documentation

◆ AbsoluteFrequencyType

template<typename TSample >

using itk::Statistics::KdTree< TSample >::AbsoluteFrequencyType = typename TSample::AbsoluteFrequencyType

Definition at line 549 of file itkKdTree.h.

◆ ConstIterator

template<typename TSample >

using itk::Statistics::KdTree< TSample >::ConstIterator = typename TSample::ConstIterator

Definition at line 789 of file itkKdTree.h.

◆ ConstPointer

template<typename TSample >

using itk::Statistics::KdTree< TSample >::ConstPointer = SmartPointer<const Self>

Definition at line 536 of file itkKdTree.h.

◆ DistanceMetricType

template<typename TSample >

using itk::Statistics::KdTree< TSample >::DistanceMetricType = EuclideanDistanceMetric<MeasurementVectorType>

DistanceMetric type for the distance calculation and comparison

Definition at line 558 of file itkKdTree.h.

◆ InstanceIdentifier

template<typename TSample >

using itk::Statistics::KdTree< TSample >::InstanceIdentifier = typename TSample::InstanceIdentifier

Definition at line 548 of file itkKdTree.h.

◆ InstanceIdentifierVectorType

template<typename TSample >

using itk::Statistics::KdTree< TSample >::InstanceIdentifierVectorType = std::vector<InstanceIdentifier>

Definition at line 568 of file itkKdTree.h.

◆ Iterator

template<typename TSample >

using itk::Statistics::KdTree< TSample >::Iterator = typename TSample::Iterator

Definition at line 788 of file itkKdTree.h.

◆ KdTreeNodeType

template<typename TSample >

using itk::Statistics::KdTree< TSample >::KdTreeNodeType = KdTreeNode<TSample>

Node type of the KdTree

Definition at line 561 of file itkKdTree.h.

◆ MeasurementType

template<typename TSample >

using itk::Statistics::KdTree< TSample >::MeasurementType = typename TSample::MeasurementType

Definition at line 547 of file itkKdTree.h.

◆ MeasurementVectorSizeType

template<typename TSample >

using itk::Statistics::KdTree< TSample >::MeasurementVectorSizeType = unsigned int

Definition at line 551 of file itkKdTree.h.

◆ MeasurementVectorType

template<typename TSample >

using itk::Statistics::KdTree< TSample >::MeasurementVectorType = typename TSample::MeasurementVectorType

Definition at line 546 of file itkKdTree.h.

◆ NeighborType

template<typename TSample >

using itk::Statistics::KdTree< TSample >::NeighborType = std::pair<InstanceIdentifier, double>

Neighbor type. The first element of the std::pair is the instance identifier and the second one is the distance between the measurement vector identified by the first element and the query point.

Definition at line 566 of file itkKdTree.h.

◆ Pointer

template<typename TSample >

using itk::Statistics::KdTree< TSample >::Pointer = SmartPointer<Self>

Definition at line 535 of file itkKdTree.h.

◆ SampleType

template<typename TSample >

using itk::Statistics::KdTree< TSample >::SampleType = TSample

type alias alias for the source data container

Definition at line 545 of file itkKdTree.h.

◆ Self

template<typename TSample >

using itk::Statistics::KdTree< TSample >::Self = KdTree

Standard class type aliases

Definition at line 533 of file itkKdTree.h.

◆ Superclass

template<typename TSample >

using itk::Statistics::KdTree< TSample >::Superclass = Object

Definition at line 534 of file itkKdTree.h.

Constructor & Destructor Documentation

◆ KdTree()

template<typename TSample >

itk::Statistics::KdTree< TSample >::KdTree ( )

protected

Constructor

◆ ~KdTree()

template<typename TSample >

itk::Statistics::KdTree< TSample >::~KdTree ( )

overrideprotected

Destructor: deletes the root node and the empty terminal node.

Member Function Documentation

◆ BallWithinBounds()

template<typename TSample >

bool itk::Statistics::KdTree< TSample >::BallWithinBounds	(	const MeasurementVectorType &	,
		MeasurementVectorType &	,
		MeasurementVectorType &	,
		double
	)		const

Returns true if the intermediate k-nearest neighbors exist within the bounding box defined by the lowerBound and the upperBound. Otherwise returns false. Returns false if the ball defined by the distance between the query point and the farthest neighbor touch the surface of the bounding box.

◆ BoundsOverlapBall()

template<typename TSample >

bool itk::Statistics::KdTree< TSample >::BoundsOverlapBall	(	const MeasurementVectorType &	,
		MeasurementVectorType &	,
		MeasurementVectorType &	,
		double
	)		const

Returns true if the ball defined by the distance between the query point and the farthest neighbor overlaps with the bounding box defined by the lower and the upper bounds.

◆ DeleteNode()

template<typename TSample >

void itk::Statistics::KdTree< TSample >::DeleteNode ( KdTreeNodeType * )

Deletes the node recursively

◆ GetDistanceMetric()

template<typename TSample >

DistanceMetricType* itk::Statistics::KdTree< TSample >::GetDistanceMetric ( )

inline

Get the pointer to the distance metric.

Definition at line 734 of file itkKdTree.h.

◆ GetEmptyTerminalNode()

template<typename TSample >

KdTreeNodeType* itk::Statistics::KdTree< TSample >::GetEmptyTerminalNode ( )

inline

Returns the pointer to the empty terminal node. A KdTree object has a single empty terminal node in memory. when the split process has to create an empty terminal node, the single instance is reused for this case

Definition at line 691 of file itkKdTree.h.

◆ GetFrequency()

template<typename TSample >

AbsoluteFrequencyType itk::Statistics::KdTree< TSample >::GetFrequency ( InstanceIdentifier id ) const

inline

Returns the frequency of the measurement vector identified by the instance identifier

Definition at line 727 of file itkKdTree.h.

◆ GetMeasurementVector()

template<typename TSample >

const MeasurementVectorType& itk::Statistics::KdTree< TSample >::GetMeasurementVector ( InstanceIdentifier id ) const

inline

Returns the measurement vector identified by the instance identifier that is an identifier defined for the input sample

Definition at line 719 of file itkKdTree.h.

◆ GetMeasurementVectorSize()

template<typename TSample >

virtual MeasurementVectorSizeType itk::Statistics::KdTree< TSample >::GetMeasurementVectorSize ( ) const

virtual

Get Macro to get the length of a measurement vector in the KdTree. The length is obtained from the input sample.

◆ GetNameOfClass()

template<typename TSample >

const char* itk::Statistics::KdTree< TSample >::GetNameOfClass ( ) const

overridevirtual

See also: LightObject::GetNameOfClass()

Reimplemented from itk::Object.

◆ GetRoot()

template<typename TSample >

KdTreeNodeType* itk::Statistics::KdTree< TSample >::GetRoot ( )

inline

Returns the pointer to the root node.

Definition at line 711 of file itkKdTree.h.

◆ GetSample()

template<typename TSample >

const TSample* itk::Statistics::KdTree< TSample >::GetSample ( ) const

inline

Returns the pointer to the input sample

Definition at line 675 of file itkKdTree.h.

◆ NearestNeighborSearchLoop()

template<typename TSample >

int itk::Statistics::KdTree< TSample >::NearestNeighborSearchLoop	(	const KdTreeNodeType *	,
		const MeasurementVectorType &	,
		MeasurementVectorType &	,
		MeasurementVectorType &	,
		NearestNeighbors &
	)		const

protected

search loop

◆ New()

template<typename TSample >

static Pointer itk::Statistics::KdTree< TSample >::New ( )

static

Method for creation through the object factory.

◆ PlotTree() [1/2]

template<typename TSample >

void itk::Statistics::KdTree< TSample >::PlotTree	(	KdTreeNodeType *	node,
		std::ostream &	os = `std::cout`
	)		const

Prints out the tree information

◆ PlotTree() [2/2]

template<typename TSample >

void itk::Statistics::KdTree< TSample >::PlotTree ( std::ostream & os ) const

Draw out the tree information to a ostream using the format of the Graphviz dot tool.

◆ PrintSelf()

template<typename TSample >

void itk::Statistics::KdTree< TSample >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotectedvirtual

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::Object.

◆ PrintTree() [1/2]

template<typename TSample >

void itk::Statistics::KdTree< TSample >::PrintTree	(	KdTreeNodeType *	,
		unsigned int	,
		unsigned int	,
		std::ostream &	os = `std::cout`
	)		const

Prints out the tree information

◆ PrintTree() [2/2]

template<typename TSample >

void itk::Statistics::KdTree< TSample >::PrintTree ( std::ostream & ) const

Prints out the tree information

◆ Search() [1/3]

template<typename TSample >

void itk::Statistics::KdTree< TSample >::Search	(	const MeasurementVectorType &	,
		double	,
		InstanceIdentifierVectorType &
	)		const

Searches the neighbors fallen into a hypersphere

◆ Search() [2/3]

template<typename TSample >

void itk::Statistics::KdTree< TSample >::Search	(	const MeasurementVectorType &	,
		unsigned int	,
		InstanceIdentifierVectorType &
	)		const

Searches the k-nearest neighbors

◆ Search() [3/3]

template<typename TSample >

void itk::Statistics::KdTree< TSample >::Search	(	const MeasurementVectorType &	,
		unsigned int	,
		InstanceIdentifierVectorType &	,
		std::vector< double > &
	)		const

Searches the k-nearest neighbors and returns the distance vector along with the distance measures.

◆ SearchLoop()

template<typename TSample >

int itk::Statistics::KdTree< TSample >::SearchLoop	(	const KdTreeNodeType *	,
		const MeasurementVectorType &	,
		double	,
		MeasurementVectorType &	,
		MeasurementVectorType &	,
		InstanceIdentifierVectorType &
	)		const

protected

search loop

◆ SetBucketSize()

template<typename TSample >

void itk::Statistics::KdTree< TSample >::SetBucketSize ( unsigned int )

Sets the number of measurement vectors that can be stored in a terminal node

◆ SetRoot()

template<typename TSample >

void itk::Statistics::KdTree< TSample >::SetRoot ( KdTreeNodeType * root )

inline

Sets the root node of the KdTree that is a result of KdTreeGenerator or WeightedCentroidKdTreeGenerator.

Definition at line 699 of file itkKdTree.h.

◆ SetSample()

template<typename TSample >

void itk::Statistics::KdTree< TSample >::SetSample ( const TSample * )

Sets the input sample that provides the measurement vectors to the k-d tree

◆ Size()

template<typename TSample >

SizeValueType itk::Statistics::KdTree< TSample >::Size ( ) const

inline

Definition at line 681 of file itkKdTree.h.

Member Data Documentation

◆ m_BucketSize

template<typename TSample >

int itk::Statistics::KdTree< TSample >::m_BucketSize {}

private

Number of measurement vectors can be stored in a terminal node.

Definition at line 823 of file itkKdTree.h.

◆ m_DistanceMetric

template<typename TSample >

DistanceMetricType::Pointer itk::Statistics::KdTree< TSample >::m_DistanceMetric {}

private

Distance metric smart pointer

Definition at line 832 of file itkKdTree.h.

◆ m_EmptyTerminalNode

template<typename TSample >

KdTreeNodeType* itk::Statistics::KdTree< TSample >::m_EmptyTerminalNode {}

private

Pointer to the empty terminal node

Definition at line 829 of file itkKdTree.h.

◆ m_MeasurementVectorSize

template<typename TSample >

MeasurementVectorSizeType itk::Statistics::KdTree< TSample >::m_MeasurementVectorSize {}

private

Measurement vector size

Definition at line 835 of file itkKdTree.h.

◆ m_Root

template<typename TSample >

KdTreeNodeType* itk::Statistics::KdTree< TSample >::m_Root {}

private

Pointer to the root node

Definition at line 826 of file itkKdTree.h.

◆ m_Sample

template<typename TSample >

const TSample* itk::Statistics::KdTree< TSample >::m_Sample {}

private

Pointer to the input sample

Definition at line 820 of file itkKdTree.h.

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

itkKdTree.h

Detailed Description

template<typename TSample> class itk::Statistics::KdTree< TSample >

Classes

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Private Attributes

Additional Inherited Members

Member Typedef Documentation

◆ AbsoluteFrequencyType

◆ ConstIterator

◆ ConstPointer

◆ DistanceMetricType

◆ InstanceIdentifier

◆ InstanceIdentifierVectorType

◆ Iterator

◆ KdTreeNodeType

◆ MeasurementType

◆ MeasurementVectorSizeType

◆ MeasurementVectorType

◆ NeighborType

◆ Pointer

◆ SampleType

◆ Self

◆ Superclass

Constructor & Destructor Documentation

◆ KdTree()

◆ ~KdTree()

Member Function Documentation

◆ BallWithinBounds()

◆ BoundsOverlapBall()

◆ DeleteNode()

◆ GetDistanceMetric()

◆ GetEmptyTerminalNode()

◆ GetFrequency()

◆ GetMeasurementVector()

◆ GetMeasurementVectorSize()

◆ GetNameOfClass()

◆ GetRoot()

◆ GetSample()

◆ NearestNeighborSearchLoop()

◆ New()

◆ PlotTree() [1/2]

◆ PlotTree() [2/2]

◆ PrintSelf()

◆ PrintTree() [1/2]

◆ PrintTree() [2/2]

◆ Search() [1/3]

◆ Search() [2/3]

◆ Search() [3/3]

◆ SearchLoop()

◆ SetBucketSize()

◆ SetRoot()

◆ SetSample()

◆ Size()

Member Data Documentation

◆ m_BucketSize

◆ m_DistanceMetric

◆ m_EmptyTerminalNode

◆ m_MeasurementVectorSize

◆ m_Root

◆ m_Sample

template<typename TSample>
class itk::Statistics::KdTree< TSample >