#include <itkKLMRegionGrowImageFilter.h>

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

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

Detailed Description

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

Base class for a region growing object that performs energy-based region growing for multiband images.

itkKLMRegionGrowImageFilter is the base class for the KLMRegionGrowImageFilter objects. This object performs energy-based region growing for multiband images. Since this is based on G. Koepfler,C. Lopez and J. M. Morel's work described below, the acronym KLM is added at the end of the object name.

The ApplyRegionGrowImageFilter() function implements the segmentation algorithm that partitions the input image into non-overlapping regions by minimizing an energy functional which trades off the similarity of regions against the length of their shared boundary. The heart of the process relies on the MergeRegion() method that calls a private function to perform the merging of region based on the piecewise constant KLM algorithm for region merging. For extensibility purposes, the MergeRegion() function is made virtual. Extensions can be made possible using function overloading or overriding the virtual function in a derived class. It starts by breaking the image into many small regions and fitting the regions to a polynomial model. The algorithm iteratively merges into one region the two adjoining regions which are most alike in terms of the specified polynomial model given the length of the border between the two regions. Internally, the energy functional is evaluated using a Lagrangian parameter called lambda which is also called the scale parameter as it controls the coarseness of the segmentation where a small value of lambda corresponds to a finer segmentation with more regions and a large value corresponds to a coarse segmentation with fewer regions. Since the algorithm grows regions by merging like regions, the internal value of lambda increases as the number of regions decreases.

The user can stop the merging of regions using the SetMaximumNumberOfRegions() and SetMaximumLambda() functions. The SetMaximumNumberOfRegions() function is publicly inherited from its base class and internally sets the m_MaximumNumberOfRegions parameter. The SetMaximumLambda() function sets the m_MaximumLambda parameter. If the number of regions in the image is equal to m_MaximumNumberOfRegions or if the internal energy functional becomes greater than m_MaximumLambda, then the merging iterations will stop. Note that a larger energy function value for m_MaximumLambda will result in fewer boundaries and fewer regions, while a smaller value for m_MaximumLambda will result in more boundaries and more regions. To have m_MaximumNumberOfRegions control exactly the number of output regions, m_MaximumLamda should be set to a very large number. To have m_MaximumLambda control exactly the number of output regions, m_MaximumNumberOfRegions should be set to 2. As a default value, m_MaximumLambda is set to 1000 and m_MaximumNumberOfRegions is set to 2.

Currently implementation puts equal weight to the multichannel values. In future improvements we plan to allow the user to control the weights associated with each individual channels.

It is templated over the type of input and output image. This object supports data handling of multiband images. The object accepts images in vector format, where each pixel is a vector and each element of the vector corresponds to an entry from 1 particular band of a multiband dataset. We expect the user to provide the input to the routine in vector format. A single band image is treated as a vector image with a single element for every vector.

This algorithm implementation takes a multiband image stored in vector format as input and produces two outputs. Using the ImageToImageFilter, the piecewise constant approximation image is the output calculated using the process update mechanism. The second output, i.e., the image with the region labels (segmentation image) is returned at users request by calling GetLabelledImage() function. This function returns a reference to the labelled image determined using the KLM algorithm. The algorithm supports 2D and 3D data sets only. The input image dimensions must be exact multiples of the user specified gridsizes. Appropriate padding must be performed by the user if any image which are not multiples of the gridsizes are used.

For more information about the algorithm, see G. Koepfler, C. Lopez and J. M. Morel, ``A Multiscale Algorithm for Image Segmentation by Variational Method,'' {SIAM Journal of Numerical Analysis}, vol. 31, pp. 282-299, 1994.

Algorithm details:

This function segments a two-dimensional input image into non-overlapping atomic regions $O_i, i=1,2,\ldots,N$ , where $ N $ is the total number of region, by minimizing the following energy functional (also known as the simplified Mumford and Shah functional): $E(u,K)=\int_{\Omega-K}||u(r,c)-g(r,c)||^2{d{\Omega}}+\lambda\cdot{L(K)}$ , where $\Omega$ denotes the domain of an image, $ g(r,c) $ is the input image, and $ u(r,c) $ is an approximation of . Furthermore, is defined to be piecewise constant in regions $ O_i $ . If $\partial O_i$ represents the boundary of the region, $K=\bigcup_{i=1}^N\partial{O_i}$ denotes the set of all region boundaries and $ L(K) $ is the total length of the boundaries. The parameter $\lambda$ controls the coarseness of the segmentation (i.e. a larger $\lambda$ will result in fewer boundaries).

Starting with small, piecewise-constant initial regions the algorithm iteratively merges the two adjacent regions $ O_i $ and $ O_j $ which most decrease the energy functional. In other words, the merging criterion is based on the difference between the current energy $ E(u,K) $ and the energy that would result after a merge, $E(\hat{u},K-\partial(O_i,O_j))$ , where $\hat{u}$ is the piecewise constant approximation of the input image $ g $ , and $\partial(O_i,O_j)$ is the common boundary between region $ O_i $ and $ O_j $ . It can be shown that $E(u,K)-E(\hat{u},K-\partial(O_i,O_j))= \lambda\cdot{L(\partial(O_i,O_j))}- {\frac{(|O_i| \cdot |O_j|)}{(|O_i|+|O_j|)}} \|c_i-c_j\|^2$ .

Once two regions are merged the following update equations are used to calculated the constant approximation of the new region:

$c_{i,j} = \frac{(c_i |O_i| + c_j |O_j|)}{(|O_i| + |O_j|)}$ .

Again, the merging of regions continues until the desired number of regions has been reached or until the desired coarseness (specified by the scale parameter $\lambda$ ) has been reached.

The two outputs are possible to derive from the object: (1) u, the piecewise constant approximation (mean of the regions) to the input image set; This is currently generated by the process object pipeline and the (2) the labelled regions in the input image set is generated by the GetLabelledImage() function.

Definition at line 165 of file itkKLMRegionGrowImageFilter.h.

Public Types
typedef KLMSegmentationBorder	BorderType

typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::GridSizeType	GridSizeType

typedef ImageRegionConstIterator < TInputImage >	InputImageConstIterator

typedef TInputImage::ConstPointer	InputImageConstPointer

typedef TInputImage::IndexType	InputImageIndexType

typedef ImageRegionIterator < TInputImage >	InputImageIterator

typedef TInputImage::PixelType	InputImagePixelType

typedef TInputImage::Pointer	InputImagePointer

typedef TInputImage	InputImageType

typedef TInputImage::PixelType::VectorType	InputImageVectorType

typedef TInputImage::RegionType	InputRegionType

typedef KLMDynamicBorderArray < BorderType >	KLMSegmentationBorderArrayPtr

typedef LabelImageType::IndexType	LabelImageIndexType

typedef ImageRegionIterator < LabelImageType >	LabelImageIterator

typedef LabelImageType::PixelType	LabelImagePixelType

typedef LabelImageType::Pointer	LabelImagePointer

typedef Image< RegionLabelType, itkGetStaticConstMacro(LabelImageDimension) >	LabelImageType

typedef vnl_vector< double >	MeanRegionIntensityType

typedef TOutputImage::IndexType	OutputImageIndexType

typedef ImageRegionIterator < TOutputImage >	OutputImageIterator

typedef TOutputImage::PixelType	OutputImagePixelType

typedef TOutputImage::Pointer	OutputImagePointer

typedef TOutputImage	OutputImageType

typedef TOutputImage::PixelType::VectorType	OutputImageVectorType

typedef SmartPointer< Self >	Pointer

typedef KLMSegmentationRegion::RegionLabelType	RegionLabelType

typedef KLMRegionGrowImageFilter	Self

typedef RegionGrowImageFilter < TInputImage, TOutputImage >	Superclass

Public Types inherited from itk::RegionGrowImageFilter< TInputImage, TOutputImage >
typedef SmartPointer< const Self >	ConstPointer

typedef TInputImage::SizeType	GridSizeType

typedef TInputImage::ConstPointer	InputImageConstPointer

typedef TInputImage::PixelType	InputImagePixelType

typedef TInputImage::Pointer	InputImagePointer

typedef TInputImage	InputImageType

typedef TOutputImage::PixelType	OutputImagePixelType

typedef TOutputImage::Pointer	OutputImagePointer

typedef TOutputImage	OutputImageType

typedef SmartPointer< Self >	Pointer

typedef RegionGrowImageFilter	Self

typedef ImageToImageFilter < TInputImage, TOutputImage >	Superclass

Public Types inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
typedef SmartPointer< const Self >	ConstPointer

typedef InputImageType::ConstPointer	InputImageConstPointer

typedef InputImageType::PixelType	InputImagePixelType

typedef InputImageType::Pointer	InputImagePointer

typedef InputImageType::RegionType	InputImageRegionType

typedef TInputImage	InputImageType

typedef Superclass::OutputImagePixelType	OutputImagePixelType

typedef Superclass::OutputImageRegionType	OutputImageRegionType

typedef SmartPointer< Self >	Pointer

typedef ImageToImageFilter	Self

typedef ImageSource< TOutputImage >	Superclass

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

typedef Superclass::DataObjectIdentifierType	DataObjectIdentifierType

typedef DataObject::Pointer	DataObjectPointer

typedef Superclass::DataObjectPointerArraySizeType	DataObjectPointerArraySizeType

typedef OutputImageType::PixelType	OutputImagePixelType

typedef OutputImageType::Pointer	OutputImagePointer

typedef OutputImageType::RegionType	OutputImageRegionType

typedef TOutputImage	OutputImageType

typedef SmartPointer< Self >	Pointer

typedef ImageSource	Self

typedef ProcessObject	Superclass

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 (void) const

LabelImagePointer	GetLabelledImage (void)

virtual const char *	GetNameOfClass () const

void	PrintAlgorithmBorderStats (void)

void	PrintAlgorithmRegionStats (void)

	typedef (Concept::HasNumericTraits< typename InputImagePixelType::ValueType >) InputHasNumericTraitsCheck

	typedef (Concept::SameDimension< itkGetStaticConstMacro(InputImageDimension), itkGetStaticConstMacro(OutputImageDimension) >) SameDimension


virtual void	SetMaximumLambda (double _arg)

virtual const double &	GetMaximumLambda () const


virtual void	SetNumberOfRegions (unsigned int _arg)

virtual const unsigned int &	GetNumberOfRegions () const

Public Member Functions inherited from itk::RegionGrowImageFilter< TInputImage, TOutputImage >
virtual void	SetGridSize (GridSizeType _arg)

virtual const GridSizeType &	GetGridSize () const

virtual void	SetMaximumNumberOfRegions (unsigned int _arg)

virtual const unsigned int &	GetMaximumNumberOfRegions () const

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

const InputImageType *	GetInput (unsigned int idx) const

virtual void	PopBackInput ()

virtual void	PopFrontInput ()

virtual void	PushBackInput (const InputImageType *image)

virtual void	PushFrontInput (const InputImageType *image)

virtual void	SetInput (const InputImageType *image)

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 (unsigned int idx)

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

virtual void	GraftOutput (DataObject *output)

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

OutputImageType *	GetOutput (void)

const OutputImageType *	GetOutput (void) const

virtual ProcessObject::DataObjectPointer	MakeOutput (ProcessObject::DataObjectPointerArraySizeType idx) ITK_OVERRIDE

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

virtual void	AbortGenerateDataOn ()

virtual const bool &	GetAbortGenerateData () const

NameArray	GetInputNames () const

MultiThreader *	GetMultiThreader () const

DataObjectPointerArraySizeType	GetNumberOfIndexedInputs () const

DataObjectPointerArraySizeType	GetNumberOfInputs () const

DataObjectPointerArraySizeType	GetNumberOfOutputs () const

virtual DataObjectPointerArraySizeType	GetNumberOfValidRequiredInputs () const

NameArray	GetOutputNames () const

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)

DataObjectPointerArray	GetInputs ()

DataObjectPointerArray	GetOutputs ()

DataObjectPointerArray	GetIndexedInputs ()

DataObjectPointerArray	GetIndexedOutputs ()

DataObjectPointerArraySizeType	GetNumberOfIndexedOutputs () const

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 (void)

const MetaDataDictionary &	GetMetaDataDictionary (void) 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 ITK_OVERRIDE

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

virtual void	SetReferenceCount (int) ITK_OVERRIDE

virtual void	UnRegister () const ITK_OVERRIDE

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 ()

Static Public Attributes
static const unsigned int	InputImageDimension = TInputImage::ImageDimension

static const unsigned int	InputImageVectorDimension = InputImagePixelType::Dimension

static const RegionLabelType	LabelImageDimension = InputImageDimension

static const unsigned int	OutputImageDimension = TOutputImage::ImageDimension

static const unsigned int	OutputImageVectorDimension = OutputImagePixelType::Dimension

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

static const unsigned int	OutputImageDimension = TOutputImage::ImageDimension

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

Protected Member Functions
void	ApplyKLM ()

void	ApplyRegionGrowImageFilter ()

virtual void	EnlargeOutputRequestedRegion (DataObject *)

virtual void	GenerateData ()

virtual void	GenerateInputRequestedRegion ()

LabelImagePointer	GenerateLabelledImage (LabelImageType *labelImagePtr)

virtual void	GenerateOutputImage ()

void	InitializeKLM ()

virtual void	InitializeRegionParameters (InputRegionType region)

	KLMRegionGrowImageFilter ()

virtual void	MergeRegions ()

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

virtual void	ResolveRegions ()

	~KLMRegionGrowImageFilter ()

Protected Member Functions inherited from itk::RegionGrowImageFilter< TInputImage, TOutputImage >
void	PrintSelf (std::ostream &os, Indent indent) const

	RegionGrowImageFilter ()

	~RegionGrowImageFilter ()

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

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

	ImageToImageFilter ()

virtual void	VerifyInputInformation ()

	~ImageToImageFilter ()

void	PushBackInput (const DataObject *input)

void	PushFrontInput (const DataObject *input)

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

virtual void	AllocateOutputs ()

virtual void	BeforeThreadedGenerateData ()

virtual const ImageRegionSplitterBase *	GetImageRegionSplitter (void) const

	ImageSource ()

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

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

virtual	~ImageSource ()

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

virtual void	AddOutput (DataObject *output)

virtual void	CacheInputReleaseDataFlags ()

virtual void	GenerateOutputInformation ()

virtual void	GenerateOutputRequestedRegion (DataObject *output)

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredOutputs () const

bool	IsIndexedInputName (const DataObjectIdentifierType &) const

bool	IsIndexedOutputName (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

	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)

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	SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg)

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

virtual void	SetPrimaryInput (DataObject *input)

virtual void	SetPrimaryOutput (DataObject *output)

virtual void	VerifyPreconditions ()

	~ProcessObject ()

DataObject *	GetInput (const DataObjectIdentifierType &key)

const DataObject *	GetInput (const DataObjectIdentifierType &key) const

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

virtual void	SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredInputs () const

bool	AddRequiredInputName (const DataObjectIdentifierType &)

bool	AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

bool	RemoveRequiredInputName (const DataObjectIdentifierType &)

bool	IsRequiredInputName (const DataObjectIdentifierType &) const

void	SetRequiredInputNames (const NameArray &)

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 Types
typedef TInputImage::SizeType	InputImageSizeType

typedef KLMSegmentationBorder::Pointer	KLMSegmentationBorderPtr

typedef KLMSegmentationRegion::Pointer	KLMSegmentationRegionPtr

Private Member Functions
	KLMRegionGrowImageFilter (const Self &)

void	operator= (const Self &)

Private Attributes
KLMSegmentationBorderArrayPtr *	m_BorderCandidate

std::vector < KLMSegmentationBorderArrayPtr >	m_BordersDynamicPointer

std::vector < KLMSegmentationBorderPtr >	m_BordersPointer

unsigned int	m_InitialNumberOfRegions

double	m_InitialRegionArea

MeanRegionIntensityType	m_InitialRegionMean

double	m_InternalLambda

double	m_MaximumLambda

unsigned int	m_NumberOfRegions

std::vector < KLMSegmentationRegionPtr >	m_RegionsPointer

double	m_TotalBorderLength

Additional Inherited Members
Protected Types inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
typedef ImageToImageFilterDetail::ImageRegionCopier < itkGetStaticConstMacro(OutputImageDimension), itkGetStaticConstMacro(InputImageDimension) >	InputToOutputRegionCopierType

typedef ImageToImageFilterDetail::ImageRegionCopier < itkGetStaticConstMacro(InputImageDimension), itkGetStaticConstMacro(OutputImageDimension) >	OutputToInputRegionCopierType

Protected Types inherited from itk::LightObject
typedef int	InternalReferenceCountType

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

static ITK_THREAD_RETURN_TYPE	ThreaderCallback (void *arg)

Protected Attributes inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime

bool	m_Updating

Protected Attributes inherited from itk::LightObject
InternalReferenceCountType	m_ReferenceCount

SimpleFastMutexLock	m_ReferenceCountLock