#include <itkCurvesLevelSetFunction.h>

Inheritance diagram for itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >:

Collaboration diagram for itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >:

Detailed Description

template<typename TImageType, typename TFeatureImageType = TImageType>
class itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >

This function is used in CurvesLevelSetImageFilter to segment structures in images based on user supplied edge potential map.

CurvesLevelSetFunction is a subclass of the generic LevelSetFunction.: It is useful for segmentations based on a user supplied edge potential map which has values close to zero in regions near edges (or high image gradient) and values close to one in regions with relatively constant intensity. Typically, the edge potential map is a function of the gradient, for example:

$g(I) = 1 / ( 1 + | (\nabla * G)(I)| )$

$g(I) = \exp^{-|(\nabla * G)(I)|}$

where $ I $ is image intensity and $(\nabla * G)$ is the derivative of Gaussian operator.

In this function both the propagation term $(\nabla * G)$ #325: and the curvature spatial modifier term $ $Z(\mathbf{x})$ are taken directly from the edge potential image. The edge potential image is set via the SetFeatureImage() method. An advection term $A(\mathbf{x})$ is constructed from the negative gradient of the edge potential image. This term behaves like a doublet attracting the contour to the edges.

This implementation is based on:: L. Lorigo, O. Faugeras, W.E.L. Grimson, R. Keriven, R. Kikinis, A. Nabavi, and C.-F. Westin, Curves: Curve evolution for vessel segmentation. Medical Image Analysis, 5:195-206, 2001.

See Also: LevelSetFunction; SegmentationLevelSetImageFunction; GeodesicActiveContourLevelSetImageFilter

Definition at line 62 of file itkCurvesLevelSetFunction.h.

Public Types
using	ConstPointer = SmartPointer< const Self >

using	FeatureImageType = TFeatureImageType

using	FeatureScalarType = typename Superclass::FeatureScalarType

using	FloatOffsetType = typename SuperSuperclass::FloatOffsetType

using	GlobalDataStruct = typename SuperSuperclass::GlobalDataStruct

using	ImageType = typename Superclass::ImageType

using	NeighborhoodType = typename Superclass::NeighborhoodType

using	PixelType = typename SuperSuperclass::PixelType

using	Pointer = SmartPointer< Self >

using	RadiusType = typename Superclass::RadiusType

using	ScalarValueType = typename Superclass::ScalarValueType

using	Self = CurvesLevelSetFunction

using	Superclass = SegmentationLevelSetFunction< TImageType, TFeatureImageType >

using	SuperSuperclass = LevelSetFunction< TImageType >

using	VectorImageType = typename Superclass::VectorImageType

Public Types inherited from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >
using	ConstPointer = SmartPointer< const Self >

using	ContinuousIndexType = typename InterpolatorType::ContinuousIndexType

using	FeatureImageType = TFeatureImageType

using	FeatureScalarType = typename FeatureImageType::PixelType

using	FloatOffsetType = typename Superclass::FloatOffsetType

using	GlobalDataStruct = typename Superclass::GlobalDataStruct

using	ImageType = typename Superclass::ImageType

using	IndexType = typename ImageType::IndexType

using	InterpolatorType = LinearInterpolateImageFunction< ImageType >

using	NeighborhoodType = typename Superclass::NeighborhoodType

using	PixelRealType = typename Superclass::PixelRealType

using	Pointer = SmartPointer< Self >

using	RadiusType = typename Superclass::RadiusType

using	ScalarValueType = typename Superclass::ScalarValueType

using	Self = SegmentationLevelSetFunction

using	Superclass = LevelSetFunction< TImageType >

using	VectorImageType = Image< VectorType, Self::ImageDimension >

using	VectorInterpolatorType = VectorLinearInterpolateImageFunction< VectorImageType >

using	VectorType = typename Superclass::VectorType

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

using	FloatOffsetType = typename Superclass::FloatOffsetType

using	ImageType = typename Superclass::ImageType

using	NeighborhoodScalesType = typename Superclass::NeighborhoodScalesType

using	NeighborhoodType = typename Superclass::NeighborhoodType

using	PixelRealType = typename Superclass::PixelRealType

using	PixelType = typename Superclass::PixelType

using	Pointer = SmartPointer< Self >

using	RadiusType = typename Superclass::RadiusType

using	ScalarValueType = PixelType

using	Self = LevelSetFunction

using	Superclass = FiniteDifferenceFunction< TImageType >

using	TimeStepType = double

using	VectorType = FixedArray< ScalarValueType, Self::ImageDimension >

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

using	DefaultBoundaryConditionType = ZeroFluxNeumannBoundaryCondition< ImageType >

using	FloatOffsetType = Vector< float, Self::ImageDimension >

using	ImageType = TImageType

using	NeighborhoodScalesType = Vector< PixelRealType, Self::ImageDimension >

using	NeighborhoodType = ConstNeighborhoodIterator< TImageType, DefaultBoundaryConditionType >

using	PixelRealType = double

using	PixelType = typename ImageType::PixelType

using	Pointer = SmartPointer< Self >

using	RadiusType = typename ConstNeighborhoodIterator< TImageType >::RadiusType

using	Self = FiniteDifferenceFunction

using	Superclass = LightObject

using	TimeStepType = double

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

using	Pointer = SmartPointer< Self >

using	Self = LightObject

Public Member Functions
void	CalculateAdvectionImage () override

void	CalculateSpeedImage () override

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

ScalarValueType	CurvatureSpeed (const NeighborhoodType &neighborhood, const FloatOffsetType &offset, GlobalDataStruct *gd) const override

virtual const char *	GetNameOfClass () const

void	Initialize (const RadiusType &r) override


void	SetDerivativeSigma (const double v)

double	GetDerivativeSigma ()

Public Member Functions inherited from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >
virtual void	AllocateAdvectionImage ()

virtual void	AllocateSpeedImage ()

void	Initialize (const RadiusType &r) override

virtual void	ReverseExpansionDirection ()

virtual const FeatureImageType *	GetFeatureImage () const

virtual void	SetFeatureImage (const FeatureImageType *f)

virtual ImageType *	GetSpeedImage ()

void	SetSpeedImage (ImageType *s)

virtual VectorImageType *	GetAdvectionImage () const

void	SetAdvectionImage (VectorImageType *s)

Public Member Functions inherited from itk::LevelSetFunction< TImageType >
virtual VectorType	AdvectionField (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *=0) const

virtual ScalarValueType	Compute3DMinimalCurvature (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd=0)

virtual ScalarValueType	ComputeCurvatureTerm (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd=0)

TimeStepType	ComputeGlobalTimeStep (void *GlobalData) const override

virtual ScalarValueType	ComputeMeanCurvature (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd=0)

virtual ScalarValueType	ComputeMinimalCurvature (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd=0)

PixelType	ComputeUpdate (const NeighborhoodType &neighborhood, void *globalData, const FloatOffsetType &=FloatOffsetType(0.0)) override

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

virtual ScalarValueType	CurvatureSpeed (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *=nullptr) const

void *	GetGlobalDataPointer () const override

bool	GetUseMinimalCurvature () const

virtual ScalarValueType	LaplacianSmoothingSpeed (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *=0) const

virtual ScalarValueType	PropagationSpeed (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *=0) const

void	ReleaseGlobalDataPointer (void *GlobalData) const override

void	SetUseMinimalCurvature (bool b)

void	UseMinimalCurvatureOff ()

void	UseMinimalCurvatureOn ()

virtual void	SetAdvectionWeight (const ScalarValueType a)

ScalarValueType	GetAdvectionWeight () const

virtual void	SetPropagationWeight (const ScalarValueType p)

ScalarValueType	GetPropagationWeight () const

virtual void	SetCurvatureWeight (const ScalarValueType c)

ScalarValueType	GetCurvatureWeight () const

void	SetLaplacianSmoothingWeight (const ScalarValueType c)

ScalarValueType	GetLaplacianSmoothingWeight () const

void	SetEpsilonMagnitude (const ScalarValueType e)

ScalarValueType	GetEpsilonMagnitude () const

Public Member Functions inherited from itk::FiniteDifferenceFunction< TImageType >
const NeighborhoodScalesType	ComputeNeighborhoodScales () const

const RadiusType &	GetRadius () const

void	GetScaleCoefficients (PixelRealType vals[ImageDimension]) const

virtual void	InitializeIteration ()

void	SetRadius (const RadiusType &r)

void	SetScaleCoefficients (PixelRealType vals[ImageDimension])

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

virtual void	Register () const

virtual void	SetReferenceCount (int)

virtual void	UnRegister () const noexcept

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::LevelSetFunction< TImageType >
static double	GetMaximumCurvatureTimeStep ()

static double	GetMaximumPropagationTimeStep ()

static Pointer	New ()

static void	SetMaximumCurvatureTimeStep (double n)

static void	SetMaximumPropagationTimeStep (double n)

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::SegmentationLevelSetFunction< TImageType, TFeatureImageType >
static constexpr unsigned int	ImageDimension = Superclass::ImageDimension

Static Public Attributes inherited from itk::LevelSetFunction< TImageType >
static constexpr unsigned int	ImageDimension = Superclass::ImageDimension

Static Public Attributes inherited from itk::FiniteDifferenceFunction< TImageType >
static constexpr unsigned int	ImageDimension = ImageType::ImageDimension

Protected Member Functions
	CurvesLevelSetFunction ()

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

	~CurvesLevelSetFunction () override=default

Protected Member Functions inherited from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >
VectorType	AdvectionField (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd) const override

ScalarValueType	PropagationSpeed (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd) const override

	SegmentationLevelSetFunction ()

	~SegmentationLevelSetFunction () override=default

Protected Member Functions inherited from itk::LevelSetFunction< TImageType >
	LevelSetFunction ()

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

	~LevelSetFunction () override=default

Protected Member Functions inherited from itk::FiniteDifferenceFunction< TImageType >
	FiniteDifferenceFunction ()

	~FiniteDifferenceFunction () override=default

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

	LightObject ()

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

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

virtual	~LightObject ()

Private Attributes
OffsetValueType	m_Center {0}

double	m_DerivativeSigma {1.0}

OffsetValueType	m_xStride [ImageDimension]

std::slice	x_slice [ImageDimension]

Additional Inherited Members
Static Protected Member Functions inherited from itk::LevelSetFunction< TImageType >
static VectorType	InitializeZeroVectorConstant ()

Protected Attributes inherited from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >
VectorImageType::Pointer	m_AdvectionImage

FeatureImageType::ConstPointer	m_FeatureImage

InterpolatorType::Pointer	m_Interpolator

ImageType::Pointer	m_SpeedImage

Functor::VectorCast< typename VectorInterpolatorType::OutputType, VectorType >	m_VectorCast

VectorInterpolatorType::Pointer	m_VectorInterpolator

Protected Attributes inherited from itk::LevelSetFunction< TImageType >
ScalarValueType	m_AdvectionWeight

OffsetValueType	m_Center {0}

ScalarValueType	m_CurvatureWeight

ScalarValueType	m_EpsilonMagnitude

ScalarValueType	m_LaplacianSmoothingWeight

ScalarValueType	m_PropagationWeight

bool	m_UseMinimalCurvature {false}

OffsetValueType	m_xStride [Self::ImageDimension]

std::slice	x_slice [Self::ImageDimension]

Protected Attributes inherited from itk::FiniteDifferenceFunction< TImageType >
RadiusType	m_Radius

PixelRealType	m_ScaleCoefficients [ImageDimension]

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

Static Protected Attributes inherited from itk::LevelSetFunction< TImageType >
static double	m_DT

static double	m_WaveDT

static VectorType	m_ZeroVectorConstant