#include <itkCoherenceEnhancingDiffusionImageFilter.h>

Inheritance diagram for itk::CoherenceEnhancingDiffusionImageFilter< TImage, TScalar >:

Collaboration diagram for itk::CoherenceEnhancingDiffusionImageFilter< TImage, TScalar >:

Detailed Description

template<typename TImage, typename TScalar = typename NumericTraits< typename TImage::PixelType >::RealType>
class itk::CoherenceEnhancingDiffusionImageFilter< TImage, TScalar >

Coherence enhancing diffusion and edge enhancing diffusion.

Implementation of Coherence Enhancing Diffusion (CED), and Edge Enhancing Diffusion (EED), as described by Weickert.

CED heuristically smoothes everywhere except accross image contours, while EED smoothes nowhere but tangentially to image contours.

The non-linear diffusion tensor is defined in terms of the structure tensor.

Denote by $\mu_i$ the structure tensor eigenvalues, at a given point $x$ , with $0\leq i < d$ . Let also $\mu_{\rm min}$ and $\mu_{\rm max}$ , be the smallest and largest eigenvalues respectively. The diffusion tensor is defined by the same eigenvectors, but with modified with eigenvalues $\lambda_i$ .

Edge Enhancing Diffusion:

$\lambda_i := g(\mu_i - \mu_{\rm min})$ , where $g(s) = 1 - (1-\alpha)*exp(-(\lambda/s)^m)$

Note the limit values $g(0) = 1$ , $g(\infty) = \alpha$ .

Coherence Enhancing Diffusion:

$\lambda_i := g(\mu_{\rm max} - \mu_i)$ , where $g(s) = \alpha + (1-\alpha)*exp(-(\lambda/s)^m)$

Note the limit values $g(0) = \alpha$ , $g(\infty) = 1$ .

Definition at line 64 of file itkCoherenceEnhancingDiffusionImageFilter.h.

Public Types
using	ConstPointer = SmartPointer< const Self >

using	EigenValuesArrayType = typename Superclass::EigenValuesArrayType

enum	EnhancementType { CED, cCED, EED, cEED, Isotropic }

using	Pointer = SmartPointer< Self >

using	ScalarType = typename Superclass::ScalarType

using	Self = CoherenceEnhancingDiffusionImageFilter

using	Superclass = AnisotropicDiffusionLBRImageFilter< TImage, TScalar >

Public Types inherited from itk::AnisotropicDiffusionLBRImageFilter< TImage, TScalar >
using	ConstPointer = SmartPointer< const Self >

using	EffectiveTimesAndIterationsType = std::vector< std::pair< ScalarType, int > >

using	EigenValuesArrayType = typename TensorType::EigenValuesArrayType

using	ImageType = TImage

using	LinearDiffusionFilterType = LinearAnisotropicDiffusionLBRImageFilter< ImageType, ScalarType >

using	PixelType = typename ImageType::PixelType

using	Pointer = SmartPointer< Self >

using	ScalarType = TScalar

using	Self = AnisotropicDiffusionLBRImageFilter

using	StructureTensorFilterType = StructureTensorImageFilter< ImageType, TensorImageType >

using	Superclass = ImageToImageFilter< TImage, TImage >

using	TensorImageType = Image< TensorType, Dimension >

using	TensorType = SymmetricSecondRankTensor< ScalarType, Dimension >

Public Types inherited from itk::ImageToImageFilter< TImage, TImage >
using	ConstPointer = SmartPointer< const Self >

using	InputImageConstPointer = typename InputImageType::ConstPointer

using	InputImagePixelType = typename InputImageType::PixelType

using	InputImagePointer = typename InputImageType::Pointer

using	InputImageRegionType = typename InputImageType::RegionType

using	InputImageType = TImage

using	OutputImagePixelType = typename Superclass::OutputImagePixelType

using	OutputImageRegionType = typename Superclass::OutputImageRegionType

using	Pointer = SmartPointer< Self >

using	Self = ImageToImageFilter

using	Superclass = ImageSource< TImage >

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

using	DataObjectIdentifierType = Superclass::DataObjectIdentifierType

using	DataObjectPointer = DataObject::Pointer

using	DataObjectPointerArraySizeType = Superclass::DataObjectPointerArraySizeType

using	OutputImagePixelType = typename OutputImageType::PixelType

using	OutputImagePointer = typename OutputImageType::Pointer

using	OutputImageRegionType = typename OutputImageType::RegionType

using	OutputImageType = TImage

using	Pointer = SmartPointer< Self >

using	Self = ImageSource

using	Superclass = ProcessObject

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

using	DataObjectIdentifierType = DataObject::DataObjectIdentifierType

using	DataObjectPointer = DataObject::Pointer

using	DataObjectPointerArray = std::vector< DataObjectPointer >

using	DataObjectPointerArraySizeType = DataObjectPointerArray::size_type

using	MultiThreaderType = MultiThreaderBase

using	NameArray = std::vector< DataObjectIdentifierType >

using	Pointer = SmartPointer< Self >

using	Self = ProcessObject

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
virtual ::itk::LightObject::Pointer	CreateAnother () const

EigenValuesArrayType	EigenValuesTransform (const EigenValuesArrayType &) const override

virtual ScalarType	GetAlpha ()

virtual EnhancementType	GetEnhancement () const

virtual ScalarType	GetExponent ()

virtual ScalarType	GetLambda ()

virtual const char *	GetNameOfClass () const

virtual void	SetEnhancement (const EnhancementType _arg)


virtual void	SetExponent (ScalarType _arg)

virtual void	SetLambda (ScalarType _arg)

virtual void	SetAlpha (ScalarType _arg)

Public Member Functions inherited from itk::AnisotropicDiffusionLBRImageFilter< TImage, TScalar >
virtual ScalarType	GetDiffusionTime () const

virtual TensorImageType::Pointer	GetLastTensorImage ()

virtual const EffectiveTimesAndIterationsType &	GetLinearFilterEffectiveTimesAndIterations () const

virtual void	SetDiffusionTime (ScalarType _arg)

virtual void	SetNoiseScale (ScalarType _arg)

virtual ScalarType	GetNoiseScale () const

virtual void	SetFeatureScale (ScalarType _arg)

virtual ScalarType	GetFeatureScale () const

virtual void	SetRatioToMaxStableTimeStep (ScalarType _arg)

virtual ScalarType	GetRatioToMaxStableTimeStep () const

virtual void	SetMaxTimeStepsBetweenTensorUpdates (int _arg)

virtual int	GetMaxTimeStepsBetweenTensorUpdates () const

virtual void	SetAdimensionize (bool _arg)

virtual bool	GetAdimensionize () const

Public Member Functions inherited from itk::ImageToImageFilter< TImage, TImage >
const InputImageType *	GetInput () const

const InputImageType *	GetInput (unsigned int idx) const

void	PopBackInput () override

void	PopFrontInput () override

virtual void	PushBackInput (const InputImageType *image)

virtual void	PushFrontInput (const InputImageType *image)

virtual void	SetInput (const InputImageType *image)

virtual void	SetInput (unsigned int, const TImage *image)

virtual void	SetCoordinateTolerance (double _arg)

virtual double	GetCoordinateTolerance () const

virtual void	SetDirectionTolerance (double _arg)

virtual double	GetDirectionTolerance () const

Public Member Functions inherited from itk::ImageSource< TImage >
OutputImageType *	GetOutput (unsigned int idx)

OutputImageType *	GetOutput ()

const OutputImageType *	GetOutput () const

virtual void	GraftOutput (DataObject *output)

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

virtual void	GraftNthOutput (unsigned int idx, DataObject *output)

ProcessObject::DataObjectPointer	MakeOutput (ProcessObject::DataObjectPointerArraySizeType idx) override

ProcessObject::DataObjectPointer	MakeOutput (const ProcessObject::DataObjectIdentifierType &) override

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 ()

MultiThreaderType *	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 void	PrepareOutputs ()

virtual void	PropagateRequestedRegion (DataObject *output)

virtual void	ResetPipeline ()

virtual void	SetAbortGenerateData (bool _arg)

void	SetMultiThreader (MultiThreaderType *threader)

virtual void	Update ()

virtual void	UpdateLargestPossibleRegion ()

virtual void	UpdateOutputData (DataObject *output)

virtual void	UpdateOutputInformation ()

void	UpdateProgress (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	SetNumberOfWorkUnits (ThreadIdType _arg)

virtual const ThreadIdType &	GetNumberOfWorkUnits () 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

void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetReferenceCount (int) override

void	UnRegister () const noexceptoverride

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
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::AnisotropicDiffusionLBRImageFilter< TImage, TScalar >
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 ()

Static Public Attributes
static const unsigned int	Dimension = Superclass::Dimension

Static Public Attributes inherited from itk::AnisotropicDiffusionLBRImageFilter< TImage, TScalar >
static const unsigned int	Dimension = ImageType::ImageDimension

Static Public Attributes inherited from itk::ImageToImageFilter< TImage, TImage >
static constexpr unsigned int	InputImageDimension

static constexpr unsigned int	OutputImageDimension

Static Public Attributes inherited from itk::ImageSource< TImage >
static constexpr unsigned int	OutputImageDimension

Protected Member Functions
	CoherenceEnhancingDiffusionImageFilter ()

ScalarType	g_CED (ScalarType s) const

ScalarType	g_EED (ScalarType s) const

Protected Member Functions inherited from itk::AnisotropicDiffusionLBRImageFilter< TImage, TScalar >
	AnisotropicDiffusionLBRImageFilter ()

virtual void	ComputeDiffusionTensors (ImageType *)

void	GenerateData () override

	~AnisotropicDiffusionLBRImageFilter () override

Protected Member Functions inherited from itk::ImageToImageFilter< TImage, TImage >
virtual void	CallCopyInputRegionToOutputRegion (OutputImageRegionType &destRegion, const InputImageRegionType &srcRegion)

virtual void	CallCopyOutputRegionToInputRegion (InputImageRegionType &destRegion, const OutputImageRegionType &srcRegion)

void	GenerateInputRequestedRegion () override

	ImageToImageFilter ()

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

void	VerifyInputInformation () ITKv5_CONST override

	~ImageToImageFilter () override

void	PushBackInput (const DataObject *input) override

void	PushFrontInput (const DataObject *input) override

Protected Member Functions inherited from itk::ImageSource< TImage >
virtual void	AfterThreadedGenerateData ()

virtual void	AllocateOutputs ()

virtual void	BeforeThreadedGenerateData ()

void	ClassicMultiThread (ThreadFunctionType callbackFunction)

void	GenerateData () override

virtual const ImageRegionSplitterBase *	GetImageRegionSplitter () const

	ImageSource ()

virtual unsigned int	SplitRequestedRegion (unsigned int i, unsigned int pieces, OutputImageRegionType &splitRegion)

	~ImageSource () override=default

virtual void	ThreadedGenerateData (const OutputImageRegionType &outputRegionForThread, ThreadIdType threadId)

virtual void	DynamicThreadedGenerateData (const OutputImageRegionType &outputRegionForThread)

virtual bool	GetDynamicMultiThreading () const

virtual void	SetDynamicMultiThreading (bool _arg)

virtual void	DynamicMultiThreadingOn ()

virtual void	DynamicMultiThreadingOff ()

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

void	AddOptionalInputName (const DataObjectIdentifierType &)

void	AddOptionalInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

virtual void	AddOutput (DataObject *output)

bool	AddRequiredInputName (const DataObjectIdentifierType &)

bool	AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

virtual void	CacheInputReleaseDataFlags ()

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

DataObjectPointerArraySizeType	MakeIndexFromInputName (const DataObjectIdentifierType &name) const

DataObjectPointerArraySizeType	MakeIndexFromOutputName (const DataObjectIdentifierType &name) const

DataObjectIdentifierType	MakeNameFromInputIndex (DataObjectPointerArraySizeType idx) const

DataObjectIdentifierType	MakeNameFromOutputIndex (DataObjectPointerArraySizeType idx) const

	ProcessObject ()

virtual void	PropagateResetPipeline ()

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	VerifyPreconditions () ITKv5_CONST

	~ProcessObject () override

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 () const

DataObject *	GetOutput (const DataObjectIdentifierType &key)

const DataObject *	GetOutput (const DataObjectIdentifierType &key) const

virtual void	SetPrimaryOutputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryOutputName () 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)

	~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 ()

Protected Attributes
ScalarType	m_Alpha

EnhancementType	m_Enhancement

ScalarType	m_Exponent

ScalarType	m_Lambda

Protected Attributes inherited from itk::AnisotropicDiffusionLBRImageFilter< TImage, TScalar >
bool	m_Adimensionize

ScalarType	m_DiffusionTime

ScalarType	m_FeatureScale

EffectiveTimesAndIterationsType	m_LinearFilterEffectiveTimesAndIterations

int	m_MaxTimeStepsBetweenTensorUpdates

ScalarType	m_NoiseScale

ScalarType	m_RatioToMaxStableTimeStep

TensorImageType::Pointer	m_TensorImage

Protected Attributes inherited from itk::ImageSource< TImage >
bool	m_DynamicMultiThreading

Protected Attributes inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime

bool	m_Updating

Protected Attributes inherited from itk::LightObject
std::atomic< int >	m_ReferenceCount

Additional Inherited Members
Protected Types inherited from itk::ImageToImageFilter< TImage, TImage >
using	InputToOutputRegionCopierType = ImageToImageFilterDetail::ImageRegionCopier< Self::OutputImageDimension, Self::InputImageDimension >

using	OutputToInputRegionCopierType = ImageToImageFilterDetail::ImageRegionCopier< Self::InputImageDimension, Self::OutputImageDimension >

Static Protected Member Functions inherited from itk::ImageSource< TImage >
static const ImageRegionSplitterBase *	GetGlobalDefaultSplitter ()

static ITK_THREAD_RETURN_FUNCTION_CALL_CONVENTION	ThreaderCallback (void *arg)