#include <itkHistogramToTextureFeaturesFilter.h>

Inheritance diagram for itk::Statistics::HistogramToTextureFeaturesFilter< THistogram >:

Collaboration diagram for itk::Statistics::HistogramToTextureFeaturesFilter< THistogram >:

Detailed Description

template<typename THistogram>
class itk::Statistics::HistogramToTextureFeaturesFilter< THistogram >

This class computes texture feature coefficients from a grey level co-occurrence matrix.

This class computes features that summarize image texture, given a grey level co-occurrence matrix (generated by a ScalarImageToCooccurrenceMatrixFilter or related class).

The features calculated are as follows (where $ g(i, j) $ is the element in cell i, j of a a normalized GLCM):

"Energy" $= f_1 = \sum_{i,j}g(i, j)^2$

"Entropy" $= f_2 = -\sum_{i,j}g(i, j) \log_2 g(i, j)$ , or 0 if $g(i, j) = 0$

"Correlation" $= f_3 = \sum_{i,j}\frac{(i - \mu)(j - \mu)g(i, j)}{\sigma^2}$

"Difference Moment" $= f_4 = \sum_{i,j}\frac{1}{1 + (i - j)^2}g(i, j)$

"Inertia" $= f_5 = \sum_{i,j}(i - j)^2g(i, j)$ (sometimes called "contrast.")

"Cluster Shade" $= f_6 = \sum_{i,j}((i - \mu) + (j - \mu))^3 g(i, j)$

"Cluster Prominence" $= f_7 = \sum_{i,j}((i - \mu) + (j - \mu))^4 g(i, j)$

"Haralick's Correlation" $= f_8 = \frac{\sum_{i,j}(i, j) g(i, j) -\mu_t^2}{\sigma_t^2}$ where $\mu_t$ and $\sigma_t$ are the mean and standard deviation of the row (or column, due to symmetry) sums.

Above, $\mu =$ (weighted pixel average) $= \sum_{i,j}i \cdot g(i, j) = \sum_{i,j}j \cdot g(i, j)$ (due to matrix summetry), and

$\sigma =$ (weighted pixel variance) $= \sum_{i,j}(i - \mu)^2 \cdot g(i, j) = \sum_{i,j}(j - \mu)^2 \cdot g(i, j)$ (due to matrix summetry)

A good texture feature set to use is the Conners, Trivedi and Harlow set: features 1, 2, 4, 5, 6, and 7. There is some correlation between the various features, so using all of them at the same time is not necessarialy a good idea.

NOTA BENE: The input histogram will be forcably normalized! This algorithm takes three passes through the input histogram if the histogram was already normalized, and four if not.

Web references:

http://www.cssip.uq.edu.au/meastex/www/algs/algs/algs.html http://www.ucalgary.ca/~mhallbey/texture/texture_tutorial.html

Print references:

Haralick, R.M., K. Shanmugam and I. Dinstein. 1973. Textural Features for Image Classification. IEEE Transactions on Systems, Man and Cybernetics. SMC-3(6):610-620.

Haralick, R.M. 1979. Statistical and Structural Approaches to Texture. Proceedings of the IEEE, 67:786-804.

R.W. Conners and C.A. Harlow. A Theoretical Comaprison of Texture Algorithms. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2:204-222, 1980.

R.W. Conners, M.M. Trivedi, and C.A. Harlow. Segmentation of a High-Resolution Urban Scene using Texture Operators. Computer Vision, Graphics and Image Processing, 25:273-310, 1984.

See Also: ScalarImageToCooccurrenceMatrixFilter; ScalarImageToTextureFeaturesFilter

Author: Zachary Pincus

Examples:: WikiExamples/Statistics/TextureFeatures.cxx.

Definition at line 102 of file itkHistogramToTextureFeaturesFilter.h.

Public Types
typedef HistogramType::AbsoluteFrequencyType	AbsoluteFrequencyType

typedef SmartPointer< const Self >	ConstPointer

typedef DataObject::Pointer	DataObjectPointer

typedef HistogramType::ConstPointer	HistogramConstPointer

typedef HistogramType::Pointer	HistogramPointer

typedef THistogram	HistogramType

typedef HistogramType::IndexType	IndexType

typedef SimpleDataObjectDecorator < MeasurementType >	MeasurementObjectType

typedef HistogramType::MeasurementType	MeasurementType

typedef HistogramType::MeasurementVectorType	MeasurementVectorType

typedef SmartPointer< Self >	Pointer

typedef std::vector < RelativeFrequencyType >	RelativeFrequencyContainerType

typedef HistogramType::RelativeFrequencyType	RelativeFrequencyType

typedef HistogramToTextureFeaturesFilter	Self

typedef ProcessObject	Superclass

enum	TextureFeatureName { Energy, Entropy, Correlation, InverseDifferenceMoment, Inertia, ClusterShade, ClusterProminence, HaralickCorrelation, InvalidFeatureName }

typedef HistogramType::TotalAbsoluteFrequencyType	TotalAbsoluteFrequencyType

typedef HistogramType::TotalRelativeFrequencyType	TotalRelativeFrequencyType

Public Types inherited from itk::ProcessObject
typedef SmartPointer< const Self >	ConstPointer

typedef DataObject::DataObjectIdentifierType	DataObjectIdentifierType

typedef DataObject::Pointer	DataObjectPointer

typedef std::vector < DataObjectPointer >	DataObjectPointerArray

typedef DataObjectPointerArray::size_type	DataObjectPointerArraySizeType

typedef std::vector < DataObjectIdentifierType >	NameArray

typedef SmartPointer< Self >	Pointer

typedef ProcessObject	Self

typedef Object	Superclass

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

typedef SmartPointer< Self >	Pointer

typedef Object	Self

typedef LightObject	Superclass

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

typedef SmartPointer< Self >	Pointer

typedef LightObject	Self

Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother () const

MeasurementType	GetClusterProminence () const

const MeasurementObjectType *	GetClusterProminenceOutput () const

MeasurementType	GetClusterShade () const

const MeasurementObjectType *	GetClusterShadeOutput () const

MeasurementType	GetCorrelation () const

const MeasurementObjectType *	GetCorrelationOutput () const

MeasurementType	GetEnergy () const

const MeasurementObjectType *	GetEnergyOutput () const

MeasurementType	GetEntropy () const

const MeasurementObjectType *	GetEntropyOutput () const

MeasurementType	GetFeature (TextureFeatureName name)

MeasurementType	GetHaralickCorrelation () const

const MeasurementObjectType *	GetHaralickCorrelationOutput () const

MeasurementType	GetInertia () const

const MeasurementObjectType *	GetInertiaOutput () const

const HistogramType *	GetInput () const

MeasurementType	GetInverseDifferenceMoment () const

const MeasurementObjectType *	GetInverseDifferenceMomentOutput () const

virtual const char *	GetNameOfClass () const

void	SetInput (const HistogramType *histogram)

Public Member Functions inherited from itk::ProcessObject
virtual void	AbortGenerateDataOff ()

virtual void	AbortGenerateDataOn ()

virtual void	EnlargeOutputRequestedRegion (DataObject *)

virtual const bool &	GetAbortGenerateData () const

DataObjectPointerArray	GetIndexedInputs ()

DataObjectPointerArray	GetIndexedOutputs ()

NameArray	GetInputNames () const

DataObjectPointerArray	GetInputs ()

MultiThreader *	GetMultiThreader () const

DataObjectPointerArraySizeType	GetNumberOfIndexedInputs () const

DataObjectPointerArraySizeType	GetNumberOfIndexedOutputs () const

DataObjectPointerArraySizeType	GetNumberOfInputs () const

DataObjectPointerArraySizeType	GetNumberOfOutputs () const

virtual DataObjectPointerArraySizeType	GetNumberOfValidRequiredInputs () const

NameArray	GetOutputNames () const

DataObjectPointerArray	GetOutputs ()

virtual const float &	GetProgress () const

NameArray	GetRequiredInputNames () const

bool	HasInput (const DataObjectIdentifierType &key) const

bool	HasOutput (const DataObjectIdentifierType &key) const

virtual DataObjectPointer	MakeOutput (const DataObjectIdentifierType &)

virtual void	PrepareOutputs ()

virtual void	PropagateRequestedRegion (DataObject *output)

virtual void	ResetPipeline ()

virtual void	SetAbortGenerateData (bool _arg)

virtual void	Update ()

virtual void	UpdateLargestPossibleRegion ()

virtual void	UpdateOutputData (DataObject *output)

virtual void	UpdateOutputInformation ()

void	UpdateProgress (float progress)

void	SetProgress (float progress)

virtual void	SetReleaseDataFlag (bool flag)

virtual bool	GetReleaseDataFlag () const

void	ReleaseDataFlagOn ()

void	ReleaseDataFlagOff ()

virtual void	SetReleaseDataBeforeUpdateFlag (bool _arg)

virtual const bool &	GetReleaseDataBeforeUpdateFlag () const

virtual void	ReleaseDataBeforeUpdateFlagOn ()

virtual void	ReleaseDataBeforeUpdateFlagOff ()

virtual void	SetNumberOfThreads (ThreadIdType _arg)

virtual const ThreadIdType &	GetNumberOfThreads () const

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

unsigned long	AddObserver (const EventObject &event, Command *) const

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

virtual void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

virtual void	SetReferenceCount (int) override

virtual void	UnRegister () const noexceptoverride

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

Public Member Functions inherited from itk::LightObject
virtual void	Delete ()

virtual int	GetReferenceCount () const

	itkCloneMacro (Self)

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 flag)

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

static Pointer	New ()

Protected Types
typedef ProcessObject::DataObjectPointerArraySizeType	DataObjectPointerArraySizeType

Protected Member Functions
virtual void	GenerateData () override

	HistogramToTextureFeaturesFilter ()

virtual DataObjectPointer	MakeOutput (DataObjectPointerArraySizeType) override

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

	~HistogramToTextureFeaturesFilter ()

Protected Member Functions inherited from itk::ProcessObject
virtual void	AddInput (DataObject *input)

virtual void	AddOutput (DataObject *output)

bool	AddRequiredInputName (const DataObjectIdentifierType &)

bool	AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

virtual void	CacheInputReleaseDataFlags ()

virtual void	GenerateInputRequestedRegion ()

virtual void	GenerateOutputInformation ()

virtual void	GenerateOutputRequestedRegion (DataObject *output)

DataObject *	GetInput (const DataObjectIdentifierType &key)

const DataObject *	GetInput (const DataObjectIdentifierType &key) const

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredInputs () const

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredOutputs () const

bool	IsIndexedInputName (const DataObjectIdentifierType &) const

bool	IsIndexedOutputName (const DataObjectIdentifierType &) const

bool	IsRequiredInputName (const DataObjectIdentifierType &) const

	itkLegacyMacro (virtual void RemoveOutput(DataObject *output))

	itkLegacyMacro (void SetNumberOfOutputs(DataObjectPointerArraySizeType num))

	itkLegacyMacro (virtual void RemoveInput(DataObject *input))

	itkLegacyMacro (void SetNumberOfInputs(DataObjectPointerArraySizeType num))

DataObjectPointerArraySizeType	MakeIndexFromInputName (const DataObjectIdentifierType &name) const

DataObjectPointerArraySizeType	MakeIndexFromOutputName (const DataObjectIdentifierType &name) const

DataObjectIdentifierType	MakeNameFromInputIndex (DataObjectPointerArraySizeType idx) const

DataObjectIdentifierType	MakeNameFromOutputIndex (DataObjectPointerArraySizeType idx) const

virtual void	PopBackInput ()

virtual void	PopFrontInput ()

	ProcessObject ()

virtual void	PropagateResetPipeline ()

virtual void	PushBackInput (const DataObject *input)

virtual void	PushFrontInput (const DataObject *input)

virtual void	ReleaseInputs ()

virtual void	RemoveInput (const DataObjectIdentifierType &key)

virtual void	RemoveInput (DataObjectPointerArraySizeType)

virtual void	RemoveOutput (const DataObjectIdentifierType &key)

virtual void	RemoveOutput (DataObjectPointerArraySizeType idx)

bool	RemoveRequiredInputName (const DataObjectIdentifierType &)

virtual void	RestoreInputReleaseDataFlags ()

virtual void	SetInput (const DataObjectIdentifierType &key, DataObject *input)

virtual void	SetNthInput (DataObjectPointerArraySizeType num, DataObject *input)

virtual void	SetNthOutput (DataObjectPointerArraySizeType num, DataObject *output)

void	SetNumberOfIndexedInputs (DataObjectPointerArraySizeType num)

void	SetNumberOfIndexedOutputs (DataObjectPointerArraySizeType num)

virtual void	SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)

virtual void	SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg)

virtual void	SetOutput (const DataObjectIdentifierType &key, DataObject *output)

virtual void	SetPrimaryInput (DataObject *input)

virtual void	SetPrimaryOutput (DataObject *output)

void	SetRequiredInputNames (const NameArray &)

virtual void	VerifyInputInformation ()

virtual void	VerifyPreconditions ()

	~ProcessObject ()

DataObject *	GetInput (DataObjectPointerArraySizeType idx)

const DataObject *	GetInput (DataObjectPointerArraySizeType idx) const

DataObject *	GetPrimaryInput ()

const DataObject *	GetPrimaryInput () const

virtual void	SetPrimaryInputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryInputName (void) const

DataObject *	GetOutput (const DataObjectIdentifierType &key)

const DataObject *	GetOutput (const DataObjectIdentifierType &key) const

virtual void	SetPrimaryOutputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryOutputName (void) const

DataObject *	GetOutput (DataObjectPointerArraySizeType idx)

const DataObject *	GetOutput (DataObjectPointerArraySizeType idx) const

DataObject *	GetPrimaryOutput ()

const DataObject *	GetPrimaryOutput () const

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

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

virtual void	SetTimeStamp (const TimeStamp &time)

virtual	~Object ()

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 Member Functions
void	ComputeMeansAndVariances (double &pixelMean, double &marginalMean, double &marginalDevSquared, double &pixelVariance)

	HistogramToTextureFeaturesFilter (const Self &)

void	operator= (const Self &)

Private Attributes
RelativeFrequencyContainerType	m_RelativeFrequencyContainer

Additional Inherited Members
Protected Attributes inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime

bool	m_Updating

Protected Attributes inherited from itk::LightObject
AtomicInt< int >	m_ReferenceCount