#include <itkCurvatureFlowImageFilter.h>

Inheritance diagram for itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >:

Collaboration diagram for itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >:

Public Types
using	ConstPointer = SmartPointer< const Self >

using	CurvatureFlowFunctionType = CurvatureFlowFunction< OutputImageType >

using	FiniteDifferenceFunctionType = typename Superclass::FiniteDifferenceFunctionType

using	InputImageType = typename Superclass::InputImageType

using	OutputImagePointer = typename OutputImageType::Pointer

using	OutputImageType = typename Superclass::OutputImageType

using	PixelType = typename Superclass::PixelType

using	Pointer = SmartPointer< Self >

using	Self = CurvatureFlowImageFilter

using	Superclass = DenseFiniteDifferenceImageFilter< TInputImage, TOutputImage >

using	TimeStepType = typename Superclass::TimeStepType

Public Types inherited from itk::DenseFiniteDifferenceImageFilter< TInputImage, TOutputImage >
using	ConstPointer = SmartPointer< const Self >

using	FiniteDifferenceFunctionType = typename Superclass::FiniteDifferenceFunctionType

using	InputImageType = typename Superclass::InputImageType

using	OutputImageType = typename Superclass::OutputImageType

using	PixelType = typename Superclass::PixelType

using	Pointer = SmartPointer< Self >

using	Self = DenseFiniteDifferenceImageFilter

using	Superclass = FiniteDifferenceImageFilter< TInputImage, TOutputImage >

using	TimeStepType = typename Superclass::TimeStepType

using	UpdateBufferType = OutputImageType

Public Types inherited from itk::FiniteDifferenceImageFilter< TInputImage, TOutputImage >
using	ConstPointer = SmartPointer< const Self >

using	FiniteDifferenceFunctionType = FiniteDifferenceFunction< TOutputImage >

using	InputImageType = TInputImage

using	InputPixelType = typename TInputImage::PixelType

using	InputPixelValueType = typename NumericTraits< InputPixelType >::ValueType

using	NeighborhoodScalesType = typename FiniteDifferenceFunctionType::NeighborhoodScalesType

using	OutputImageType = TOutputImage

using	OutputPixelType = typename TOutputImage::PixelType

using	OutputPixelValueType = typename NumericTraits< OutputPixelType >::ValueType

using	PixelType = OutputPixelType

using	Pointer = SmartPointer< Self >

using	RadiusType = typename FiniteDifferenceFunctionType::RadiusType

using	Self = FiniteDifferenceImageFilter

using	Superclass = InPlaceImageFilter< TInputImage, TOutputImage >

using	TimeStepType = typename FiniteDifferenceFunctionType::TimeStepType

Public Types inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
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 = TInputImage

using	OutputImagePixelType = typename Superclass::OutputImagePixelType

using	OutputImagePointer = typename Superclass::OutputImagePointer

using	OutputImageRegionType = typename Superclass::OutputImageRegionType

using	OutputImageType = typename Superclass::OutputImageType

using	Pointer = SmartPointer< Self >

using	Self = InPlaceImageFilter

using	Superclass = ImageToImageFilter< TInputImage, TOutputImage >

Public Types inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
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 = TInputImage

using	OutputImagePixelType = typename Superclass::OutputImagePixelType

using	OutputImageRegionType = typename Superclass::OutputImageRegionType

using	Pointer = SmartPointer< Self >

using	Self = ImageToImageFilter

using	Superclass = ImageSource< TOutputImage >

Public Types inherited from itk::ImageSource< TOutputImage >
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 = TOutputImage

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

virtual const char *	GetNameOfClass () const

virtual TimeStepType	GetTimeStep () const

virtual void	SetTimeStep (TimeStepType _arg)

Public Member Functions inherited from itk::FiniteDifferenceImageFilter< TInputImage, TOutputImage >
virtual const FiniteDifferenceFunctionType ::Pointer &	GetDifferenceFunction () const

virtual const IdentifierType &	GetElapsedIterations () const

virtual void	SetDifferenceFunction (FiniteDifferenceFunctionType *_arg)

virtual void	SetNumberOfIterations (IdentifierType _arg)

virtual const IdentifierType &	GetNumberOfIterations () const

virtual void	SetUseImageSpacing (bool _arg)

virtual void	UseImageSpacingOn ()

virtual void	UseImageSpacingOff ()

virtual const bool &	GetUseImageSpacing () const

virtual void	SetMaximumRMSError (double _arg)

virtual const double &	GetMaximumRMSError () const

virtual void	SetRMSChange (double _arg)

virtual const double &	GetRMSChange () const

virtual void	SetManualReinitialization (bool _arg)

virtual const bool &	GetManualReinitialization () const

virtual void	ManualReinitializationOn ()

virtual void	ManualReinitializationOff ()

virtual void	SetIsInitialized (bool _arg)

virtual bool	GetIsInitialized ()

void	SetStateToUninitialized ()

void	SetStateToInitialized ()

Public Member Functions inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
virtual void	SetInPlace (bool _arg)

virtual bool	GetInPlace () const

virtual void	InPlaceOn ()

virtual void	InPlaceOff ()

virtual bool	CanRunInPlace () const

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

const InputImageType *	GetInput (unsigned int idx) const

void	PopBackInput () override

void	PopFrontInput () override

virtual void	PushBackInput (const InputImageType *input)

virtual void	PushFrontInput (const InputImageType *input)

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

virtual void	SetInput (const InputImageType *input)

virtual void	SetInput (unsigned int, const TInputImage *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< TOutputImage >
OutputImageType *	GetOutput ()

const OutputImageType *	GetOutput () const

OutputImageType *	GetOutput (unsigned int idx)

virtual void	GraftOutput (DataObject *graft)

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

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

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 const bool &	GetAbortGenerateData () const

DataObjectPointerArray	GetIndexedInputs ()

DataObjectPointerArray	GetIndexedOutputs ()

NameArray	GetInputNames () const

DataObjectPointerArray	GetInputs ()

DataObjectPointerArraySizeType	GetNumberOfIndexedInputs () const

DataObjectPointerArraySizeType	GetNumberOfIndexedOutputs () const

DataObjectPointerArraySizeType	GetNumberOfInputs () const

DataObjectPointerArraySizeType	GetNumberOfOutputs () const

virtual DataObjectPointerArraySizeType	GetNumberOfValidRequiredInputs () const

NameArray	GetOutputNames () const

DataObjectPointerArray	GetOutputs ()

virtual float	GetProgress () const

NameArray	GetRequiredInputNames () const

bool	HasInput (const DataObjectIdentifierType &key) const

bool	HasOutput (const DataObjectIdentifierType &key) const

void	IncrementProgress (float increment)

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)

virtual void	SetReleaseDataFlag (bool val)

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

MultiThreaderType *	GetMultiThreader () const

void	SetMultiThreader (MultiThreaderType *threader)

virtual void	PrepareOutputs ()

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

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

unsigned long	AddObserver (const EventObject &event, std::function< void(const EventObject &)> function) 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 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::ImageToImageFilter< TInputImage, TOutputImage >
static void	SetGlobalDefaultDirectionTolerance (double)

static double	GetGlobalDefaultDirectionTolerance ()

static void	SetGlobalDefaultCoordinateTolerance (double)

static double	GetGlobalDefaultCoordinateTolerance ()

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 ()

Static Public Attributes
static constexpr unsigned int	ImageDimension = Superclass::ImageDimension

Static Public Attributes inherited from itk::DenseFiniteDifferenceImageFilter< TInputImage, TOutputImage >
static constexpr unsigned int	ImageDimension = Superclass::ImageDimension

Static Public Attributes inherited from itk::FiniteDifferenceImageFilter< TInputImage, TOutputImage >
static constexpr unsigned int	ImageDimension = OutputImageType::ImageDimension

Static Public Attributes inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
static constexpr unsigned int	InputImageDimension = TInputImage::ImageDimension

static constexpr unsigned int	OutputImageDimension = TOutputImage::ImageDimension

Static Public Attributes inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
static constexpr unsigned int	InputImageDimension = TInputImage::ImageDimension

static constexpr unsigned int	OutputImageDimension = TOutputImage::ImageDimension

Static Public Attributes inherited from itk::ImageSource< TOutputImage >
static constexpr unsigned int	OutputImageDimension = TOutputImage::ImageDimension

Protected Member Functions
	CurvatureFlowImageFilter ()

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

	~CurvatureFlowImageFilter () override=default

Protected Member Functions inherited from itk::DenseFiniteDifferenceImageFilter< TInputImage, TOutputImage >
void	AllocateUpdateBuffer () override

void	ApplyUpdate (const TimeStepType &dt) override

TimeStepType	CalculateChange () override

void	CopyInputToOutput () override

	DenseFiniteDifferenceImageFilter ()

virtual UpdateBufferType *	GetUpdateBuffer ()

virtual void	ThreadedApplyUpdate (const TimeStepType &dt, const ThreadRegionType &regionToProcess, ThreadIdType threadId)

virtual TimeStepType	ThreadedCalculateChange (const ThreadRegionType &regionToProcess, ThreadIdType threadId)

	~DenseFiniteDifferenceImageFilter () override=default

Protected Member Functions inherited from itk::FiniteDifferenceImageFilter< TInputImage, TOutputImage >
	FiniteDifferenceImageFilter ()

	~FiniteDifferenceImageFilter () override=default

virtual void	ApplyUpdate (const TimeStepType &dt)=0

void	GenerateData () override

virtual bool	ThreadedHalt (void *)

virtual void	Initialize ()

virtual TimeStepType	ResolveTimeStep (const std::vector< TimeStepType > &timeStepList, const std::vector< bool > &valid) const

virtual void	SetElapsedIterations (IdentifierType _arg)

virtual void	PostProcessOutput ()

Protected Member Functions inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
	InPlaceImageFilter ()=default

	~InPlaceImageFilter () override=default

void	AllocateOutputs () override

void	ReleaseInputs () override

virtual bool	GetRunningInPlace () const

Protected Member Functions inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
	ImageToImageFilter ()

	~ImageToImageFilter () override=default

void	VerifyInputInformation () ITKv5_CONST override

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

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

void	PushBackInput (const DataObject *input) override

void	PushFrontInput (const DataObject *input) override

Protected Member Functions inherited from itk::ImageSource< TOutputImage >
	ImageSource ()

	~ImageSource () override=default

void	ClassicMultiThread (ThreadFunctionType callbackFunction)

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

virtual void	DynamicThreadedGenerateData (const OutputImageRegionType &outputRegionForThread)

virtual void	BeforeThreadedGenerateData ()

virtual void	AfterThreadedGenerateData ()

virtual const ImageRegionSplitterBase *	GetImageRegionSplitter () const

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

virtual bool	GetDynamicMultiThreading () const

virtual void	SetDynamicMultiThreading (bool _arg)

virtual void	DynamicMultiThreadingOn ()

virtual void	DynamicMultiThreadingOff ()

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

	~ProcessObject () override

DataObject *	GetInput (const DataObjectIdentifierType &key)

const DataObject *	GetInput (const DataObjectIdentifierType &key) const

DataObject *	GetInput (DataObjectPointerArraySizeType idx)

const DataObject *	GetInput (DataObjectPointerArraySizeType idx) const

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

virtual void	SetNthInput (DataObjectPointerArraySizeType idx, DataObject *input)

virtual void	AddInput (DataObject *input)

virtual void	RemoveInput (const DataObjectIdentifierType &key)

virtual void	RemoveInput (DataObjectPointerArraySizeType)

DataObject *	GetPrimaryInput ()

const DataObject *	GetPrimaryInput () const

virtual void	SetPrimaryInputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryInputName () const

virtual void	SetPrimaryInput (DataObject *object)

void	SetNumberOfIndexedInputs (DataObjectPointerArraySizeType num)

virtual void	SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredInputs () const

bool	RemoveRequiredInputName (const DataObjectIdentifierType &)

bool	IsRequiredInputName (const DataObjectIdentifierType &) const

void	SetRequiredInputNames (const NameArray &)

bool	AddRequiredInputName (const DataObjectIdentifierType &)

bool	AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

void	AddOptionalInputName (const DataObjectIdentifierType &)

void	AddOptionalInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

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 i)

const DataObject *	GetOutput (DataObjectPointerArraySizeType i) const

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

virtual void	RemoveOutput (const DataObjectIdentifierType &key)

DataObject *	GetPrimaryOutput ()

const DataObject *	GetPrimaryOutput () const

virtual void	SetPrimaryOutput (DataObject *object)

virtual void	SetNthOutput (DataObjectPointerArraySizeType idx, DataObject *output)

virtual void	AddOutput (DataObject *output)

virtual void	RemoveOutput (DataObjectPointerArraySizeType idx)

virtual void	SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg)

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredOutputs () const

void	SetNumberOfIndexedOutputs (DataObjectPointerArraySizeType num)

DataObjectIdentifierType	MakeNameFromInputIndex (DataObjectPointerArraySizeType idx) const

DataObjectIdentifierType	MakeNameFromOutputIndex (DataObjectPointerArraySizeType idx) const

DataObjectPointerArraySizeType	MakeIndexFromInputName (const DataObjectIdentifierType &name) const

DataObjectPointerArraySizeType	MakeIndexFromOutputName (const DataObjectIdentifierType &name) const

bool	IsIndexedInputName (const DataObjectIdentifierType &) const

bool	IsIndexedOutputName (const DataObjectIdentifierType &) const

virtual void	VerifyPreconditions () ITKv5_CONST

virtual void	GenerateOutputRequestedRegion (DataObject *output)

virtual void	GenerateOutputInformation ()

virtual void	PropagateResetPipeline ()

virtual void	CacheInputReleaseDataFlags ()

virtual void	RestoreInputReleaseDataFlags ()

virtual bool	GetThreaderUpdateProgress () const

virtual void	ThreaderUpdateProgressOn ()

virtual void	ThreaderUpdateProgressOff ()

virtual void	SetThreaderUpdateProgress (bool arg)

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

	~Object () override

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

virtual void	SetTimeStamp (const TimeStamp &timeStamp)

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 ()

TimeStepType	m_TimeStep

bool	Halt () override

void	InitializeIteration () override

void	EnlargeOutputRequestedRegion (DataObject *) override

void	GenerateInputRequestedRegion () override

Additional Inherited Members
Protected Types inherited from itk::DenseFiniteDifferenceImageFilter< TInputImage, TOutputImage >
using	ThreadRegionType = typename UpdateBufferType::RegionType

Protected Types inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
using	InputToOutputRegionCopierType = ImageToImageFilterDetail::ImageRegionCopier< Self::OutputImageDimension, Self::InputImageDimension >

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

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

static ITK_THREAD_RETURN_FUNCTION_CALL_CONVENTION	ThreaderCallback (void *arg)

Static Protected Member Functions inherited from itk::ProcessObject
static constexpr float	progressFixedToFloat (uint32_t fixed)

static uint32_t	progressFloatToFixed (float f)

Protected Attributes inherited from itk::FiniteDifferenceImageFilter< TInputImage, TOutputImage >
bool	m_IsInitialized

IdentifierType	m_NumberOfIterations

IdentifierType	m_ElapsedIterations

bool	m_ManualReinitialization

double	m_RMSChange

double	m_MaximumRMSError

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

Protected Attributes inherited from itk::ProcessObject
bool	m_Updating

TimeStamp	m_OutputInformationMTime

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

Detailed Description

template<typename TInputImage, typename TOutputImage>
class itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >

Denoise an image using curvature driven flow.

CurvatureFlowImageFilter implements a curvature driven image denoising algorithm. Iso-brightness contours in the grayscale input image are viewed as a level set. The level set is then evolved using a curvature-based speed function:

$I_t = \kappa |\nabla I|$

where $\kappa$ is the curvature.

The advantage of this approach is that sharp boundaries are preserved with smoothing occurring only within a region. However, it should be noted that continuous application of this scheme will result in the eventual removal of all information as each contour shrinks to zero and disappear.

Note that unlike level set segmentation algorithms, the image to be denoised is already the level set and can be set directly as the input using the SetInput() method.

This filter has two parameters: the number of update iterations to be performed and the timestep between each update.

The timestep should be "small enough" to ensure numerical stability. Stability is guarantee when the timestep meets the CFL (Courant-Friedrichs-Levy) condition. Broadly speaking, this condition ensures that each contour does not move more than one grid position at each timestep. In the literature, the timestep is typically user specified and have to manually tuned to the application.

This filter make use of the multi-threaded finite difference solver hierarchy. Updates are computed using a CurvatureFlowFunction object. A zero flux Neumann boundary condition when computing derivatives near the data boundary.

This filter may be streamed. To support streaming this filter produces a padded output which takes into account edge effects. The size of the padding is m_NumberOfIterations on each edge. Users of this filter should only make use of the center valid central region.

Warning: This filter assumes that the input and output types have the same dimensions. This filter also requires that the output image pixels are of a floating point type. This filter works for any dimensional images.

Reference: "Level Set Methods and Fast Marching Methods", J.A. Sethian, Cambridge Press, Chapter 16, Second edition, 1999.

See also: DenseFiniteDifferenceImageFilter; CurvatureFlowFunction; MinMaxCurvatureFlowImageFilter; BinaryMinMaxCurvatureFlowImageFilter

Input/Output Restrictions: TInputImage and TOutputImage must have the same dimension. TOutputImage's pixel type must be a real number type.

ITK Sphinx Examples:

All ITK Sphinx Examples

Smooth Image Using Curvature Flow

Smooth RGB Image Using Curvature Flow

Examples: Examples/Filtering/CurvatureFlowImageFilter.cxx, Examples/Segmentation/ConfidenceConnected.cxx, Examples/Segmentation/ConfidenceConnected3D.cxx, Examples/Segmentation/ConnectedThresholdImageFilter.cxx, Examples/Segmentation/IsolatedConnectedImageFilter.cxx, Examples/Segmentation/NeighborhoodConnectedImageFilter.cxx, SphinxExamples/src/Filtering/AnisotropicSmoothing/ComputeCurvatureFlow/Code.cxx, SphinxExamples/src/Filtering/CurvatureFlow/SmoothImageUsingCurvatureFlow/Code.cxx, and SphinxExamples/src/Filtering/CurvatureFlow/SmoothRGBImageUsingCurvatureFlow/Code.cxx.

Definition at line 96 of file itkCurvatureFlowImageFilter.h.

Member Typedef Documentation

◆ ConstPointer

template<typename TInputImage , typename TOutputImage >

using itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::ConstPointer = SmartPointer<const Self>

Definition at line 106 of file itkCurvatureFlowImageFilter.h.

◆ CurvatureFlowFunctionType

template<typename TInputImage , typename TOutputImage >

using itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::CurvatureFlowFunctionType = CurvatureFlowFunction<OutputImageType>

CurvatureFlowFunction type.

Definition at line 125 of file itkCurvatureFlowImageFilter.h.

◆ FiniteDifferenceFunctionType

template<typename TInputImage , typename TOutputImage >

using itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::FiniteDifferenceFunctionType = typename Superclass::FiniteDifferenceFunctionType

FiniteDifferenceFunction type.

Definition at line 122 of file itkCurvatureFlowImageFilter.h.

◆ InputImageType

template<typename TInputImage , typename TOutputImage >

using itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::InputImageType = typename Superclass::InputImageType

InputImage type.

Definition at line 115 of file itkCurvatureFlowImageFilter.h.

◆ OutputImagePointer

template<typename TInputImage , typename TOutputImage >

using itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::OutputImagePointer = typename OutputImageType::Pointer

Definition at line 119 of file itkCurvatureFlowImageFilter.h.

◆ OutputImageType

template<typename TInputImage , typename TOutputImage >

using itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::OutputImageType = typename Superclass::OutputImageType

OutputImage type.

Definition at line 118 of file itkCurvatureFlowImageFilter.h.

◆ PixelType

template<typename TInputImage , typename TOutputImage >

using itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::PixelType = typename Superclass::PixelType

The pixel type of the output image will be used in computations. Inherited from the superclass.

Definition at line 133 of file itkCurvatureFlowImageFilter.h.

◆ Pointer

template<typename TInputImage , typename TOutputImage >

using itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::Pointer = SmartPointer<Self>

Definition at line 105 of file itkCurvatureFlowImageFilter.h.

◆ Self

template<typename TInputImage , typename TOutputImage >

using itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::Self = CurvatureFlowImageFilter

Standard class type aliases.

Definition at line 103 of file itkCurvatureFlowImageFilter.h.

◆ Superclass

template<typename TInputImage , typename TOutputImage >

using itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::Superclass = DenseFiniteDifferenceImageFilter<TInputImage, TOutputImage>

Definition at line 104 of file itkCurvatureFlowImageFilter.h.

◆ TimeStepType

template<typename TInputImage , typename TOutputImage >

using itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::TimeStepType = typename Superclass::TimeStepType

The time step type. Inherited from the superclass.

Definition at line 136 of file itkCurvatureFlowImageFilter.h.

Constructor & Destructor Documentation

◆ CurvatureFlowImageFilter()

template<typename TInputImage , typename TOutputImage >

itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::CurvatureFlowImageFilter ( )

protected

◆ ~CurvatureFlowImageFilter()

template<typename TInputImage , typename TOutputImage >

itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::~CurvatureFlowImageFilter ( )

overrideprotecteddefault

Member Function Documentation

◆ CreateAnother()

template<typename TInputImage , typename TOutputImage >

virtual::itk::LightObject::Pointer itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::CreateAnother ( ) const

virtual

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

Reimplemented in itk::MinMaxCurvatureFlowImageFilter< TInputImage, TOutputImage >.

◆ EnlargeOutputRequestedRegion()

template<typename TInputImage , typename TOutputImage >

void itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::EnlargeOutputRequestedRegion ( DataObject * )

overrideprotectedvirtual

To support streaming, this filter produces a output which is larger than the original requested region. The output is padding by m_NumberOfIterations pixels on edge.

Reimplemented from itk::ProcessObject.

◆ GenerateInputRequestedRegion()

template<typename TInputImage , typename TOutputImage >

void itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::GenerateInputRequestedRegion ( )

overrideprotectedvirtual

Edge effects are taken care of by padding the output requested region. As such, the input requested region needs to at minimum the same size as the output requested region.

Reimplemented from itk::FiniteDifferenceImageFilter< TInputImage, TOutputImage >.

◆ GetNameOfClass()

template<typename TInputImage , typename TOutputImage >

virtual const char* itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::DenseFiniteDifferenceImageFilter< TInputImage, TOutputImage >.

Reimplemented in itk::MinMaxCurvatureFlowImageFilter< TInputImage, TOutputImage >, and itk::BinaryMinMaxCurvatureFlowImageFilter< TInputImage, TOutputImage >.

◆ GetTimeStep()

template<typename TInputImage , typename TOutputImage >

virtual TimeStepType itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::GetTimeStep ( ) const

virtual

Get the timestep parameter.

◆ Halt()

template<typename TInputImage , typename TOutputImage >

bool itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::Halt ( )

inlineoverrideprotectedvirtual

Supplies the halting criteria for this class of filters. The algorithm will stop after a user-specified number of iterations.

Reimplemented from itk::FiniteDifferenceImageFilter< TInputImage, TOutputImage >.

Definition at line 165 of file itkCurvatureFlowImageFilter.h.

◆ InitializeIteration()

template<typename TInputImage , typename TOutputImage >

void itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::InitializeIteration ( )

overrideprotectedvirtual

Initialize the state of filter and equation before each iteration. Progress feedback is implemented as part of this method.

Reimplemented from itk::FiniteDifferenceImageFilter< TInputImage, TOutputImage >.

Reimplemented in itk::MinMaxCurvatureFlowImageFilter< TInputImage, TOutputImage >.

◆ New()

template<typename TInputImage , typename TOutputImage >

static Pointer itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::New ( )

static

Method for creation through the object factory.

◆ PrintSelf()

template<typename TInputImage , typename TOutputImage >

void itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotectedvirtual

In place operation can be turned on and off. Asking for in-place operation, i.e. calling SetInplace(true) or InplaceOn(), will be effective only if CanRunInPlace also returns true. By default CanRunInPlace checks whether the input and output image type match.

Reimplemented from itk::DenseFiniteDifferenceImageFilter< TInputImage, TOutputImage >.

Reimplemented in itk::MinMaxCurvatureFlowImageFilter< TInputImage, TOutputImage >.

◆ SetTimeStep()

template<typename TInputImage , typename TOutputImage >

virtual void itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::SetTimeStep ( TimeStepType _arg )

virtual

Set the timestep parameter.

Member Data Documentation

◆ ImageDimension

template<typename TInputImage , typename TOutputImage >

constexpr unsigned int itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::ImageDimension = Superclass::ImageDimension

staticconstexpr

Dimensionality of input and output data is assumed to be the same. It is inherited from the superclass.

Definition at line 129 of file itkCurvatureFlowImageFilter.h.

◆ m_TimeStep

template<typename TInputImage , typename TOutputImage >

TimeStepType itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >::m_TimeStep

private

Supplies the halting criteria for this class of filters. The algorithm will stop after a user-specified number of iterations.

Definition at line 196 of file itkCurvatureFlowImageFilter.h.

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

itkCurvatureFlowImageFilter.h

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Additional Inherited Members

Detailed Description

template<typename TInputImage, typename TOutputImage> class itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >

Member Typedef Documentation

◆ ConstPointer

◆ CurvatureFlowFunctionType

◆ FiniteDifferenceFunctionType

◆ InputImageType

◆ OutputImagePointer

◆ OutputImageType

◆ PixelType

◆ Pointer

◆ Self

◆ Superclass

◆ TimeStepType

Constructor & Destructor Documentation

◆ CurvatureFlowImageFilter()

◆ ~CurvatureFlowImageFilter()

Member Function Documentation

◆ CreateAnother()

◆ EnlargeOutputRequestedRegion()

◆ GenerateInputRequestedRegion()

◆ GetNameOfClass()

◆ GetTimeStep()

◆ Halt()

◆ InitializeIteration()

◆ New()

◆ PrintSelf()

◆ SetTimeStep()

Member Data Documentation

◆ ImageDimension

◆ m_TimeStep

template<typename TInputImage, typename TOutputImage>
class itk::CurvatureFlowImageFilter< TInputImage, TOutputImage >