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itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType > Class Template Reference
Group Segmentation » Module ITKLevelSets

#include <itkVectorThresholdSegmentationLevelSetFunction.h>

Detailed Description

template<typename TImageType, typename TFeatureImageType>
class itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >

This function is used in VectorThresholdSegmentationLevelSetImageFilter to segment structures in images based on the Mahalanobis distance.

CREDITS
This class was contributed to ITK by Stefan Lindenau https://www.itk.org/pipermail/insight-users/2003-December/005969.html
SegmentationLevelSetFunction is a subclass of the generic LevelSetFunction.
It useful for segmentations based on intensity values in an image. It works by constructing a speed term (feature image) with positive values inside an intensity window (between a low and high threshold) and negative values outside that intensity window. The evolving level set front will lock onto regions that are at the edges of the intensity window.
Image \( f(x) \) is thresholded pixel by pixel using threshold \(T\) according to the following formula.

\[ f(x) = T - MahalanobisDistance(x) \]

See also
SegmentationLevelSetImageFunction
ThresholdSegmentationLevelSetImageFilter
MahalanobisDistanceMembershipFunction

Definition at line 58 of file itkVectorThresholdSegmentationLevelSetFunction.h.

+ Inheritance diagram for itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >:
+ Collaboration diagram for itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >:

Public Types

using ConstPointer = SmartPointer< const Self >
 
using CovarianceMatrixType = typename MahalanobisFunctionType::CovarianceMatrixType
 
using FeatureImagePixelType = typename FeatureImageType::PixelType
 
using FeatureImageType = TFeatureImageType
 
using MahalanobisFunctionPointer = typename MahalanobisFunctionType::Pointer
 
using MahalanobisFunctionType = Statistics::MahalanobisDistanceMembershipFunction< FeatureScalarType >
 
using MeanVectorType = typename MahalanobisFunctionType::MeanVectorType
 
using Pointer = SmartPointer< Self >
 
using Self = VectorThresholdSegmentationLevelSetFunction
 
using Superclass = SegmentationLevelSetFunction< TImageType, TFeatureImageType >
 
- 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 IndexType = typename ImageType::IndexType
 
using InterpolatorType = LinearInterpolateImageFunction< ImageType >
 
using Pointer = SmartPointer< Self >
 
using Self = SegmentationLevelSetFunction
 
using Superclass = LevelSetFunction< TImageType >
 
using VectorImageType = Image< VectorType, Self::ImageDimension >
 
using VectorInterpolatorType = VectorLinearInterpolateImageFunction< VectorImageType >
 
- Public Types inherited from itk::LevelSetFunction< TImageType >
using ConstPointer = SmartPointer< const Self >
 
using Pointer = SmartPointer< Self >
 
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 CalculateSpeedImage () override
 
const CovarianceMatrixType & GetCovariance () const
 
const char * GetNameOfClass () const override
 
ScalarValueType GetThreshold ()
 
void Initialize (const RadiusType &r) override
 
void SetCovariance (const CovarianceMatrixType &cov)
 
void SetThreshold (ScalarValueType thr)
 
void SetMean (const MeanVectorType &mean)
 
const MeanVectorType & GetMean () const
 
- Public Member Functions inherited from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >
virtual void AllocateAdvectionImage ()
 
virtual void AllocateSpeedImage ()
 
virtual void CalculateAdvectionImage ()
 
virtual void CalculateSpeedImage ()
 
const char * GetNameOfClass () const override
 
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 &it, void *globalData, const FloatOffsetType &=FloatOffsetType(0.0)) override
 
virtual ScalarValueType CurvatureSpeed (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *=nullptr) const
 
void * GetGlobalDataPointer () const override
 
const char * GetNameOfClass () const override
 
bool GetUseMinimalCurvature () const
 
virtual void Initialize (const RadiusType &r)
 
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 >
virtual TimeStepType ComputeGlobalTimeStep (void *GlobalData) const =0
 
const NeighborhoodScalesType ComputeNeighborhoodScales () const
 
virtual PixelType ComputeUpdate (const NeighborhoodType &neighborhood, void *globalData, const FloatOffsetType &offset=FloatOffsetType(0.0))=0
 
virtual void * GetGlobalDataPointer () const =0
 
const char * GetNameOfClass () const override
 
const RadiusType & GetRadius () const
 
void GetScaleCoefficients (PixelRealType vals[ImageDimension]) const
 
virtual void InitializeIteration ()
 
virtual void ReleaseGlobalDataPointer (void *GlobalData) const =0
 
void SetRadius (const RadiusType &r)
 
void SetScaleCoefficients (const PixelRealType vals[ImageDimension])
 
- Public Member Functions inherited from itk::LightObject
Pointer Clone () const
 
virtual Pointer CreateAnother () const
 
virtual void Delete ()
 
virtual const char * GetNameOfClass () const
 
virtual int GetReferenceCount () const
 
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 constexpr unsigned int NumberOfComponents = FeatureImagePixelType::Dimension
 
- Static Public Attributes inherited from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >
static constexpr unsigned int 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

void PrintSelf (std::ostream &os, Indent indent) const override
 
 VectorThresholdSegmentationLevelSetFunction ()
 
 ~VectorThresholdSegmentationLevelSetFunction () 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 &os, Indent indent) const override
 
 ~LevelSetFunction () override=default
 
- Protected Member Functions inherited from itk::FiniteDifferenceFunction< TImageType >
 FiniteDifferenceFunction ()
 
void PrintSelf (std::ostream &os, Indent indent) const override
 
 ~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 PrintSelf (std::ostream &os, Indent indent) const
 
virtual void PrintTrailer (std::ostream &os, Indent indent) const
 
virtual ~LightObject ()
 

Protected Attributes

MahalanobisFunctionPointer m_Mahalanobis {}
 
ScalarValueType m_Threshold {}
 
- Protected Attributes inherited from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >
VectorImageType::Pointer m_AdvectionImage
 
FeatureImageType::ConstPointer m_FeatureImage
 
InterpolatorType::Pointer m_Interpolator
 
ImageType::Pointer m_SpeedImage
 
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 {}
 

Additional Inherited Members

- Static Protected Member Functions inherited from itk::LevelSetFunction< TImageType >
static VectorType InitializeZeroVectorConstant ()
 
- Static Protected Attributes inherited from itk::LevelSetFunction< TImageType >
static double m_DT
 
static double m_WaveDT
 
static VectorType m_ZeroVectorConstant
 

Member Typedef Documentation

◆ ConstPointer

template<typename TImageType , typename TFeatureImageType >
using itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::ConstPointer = SmartPointer<const Self>

Definition at line 68 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ CovarianceMatrixType

template<typename TImageType , typename TFeatureImageType >
using itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::CovarianceMatrixType = typename MahalanobisFunctionType::CovarianceMatrixType

Definition at line 93 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ FeatureImagePixelType

template<typename TImageType , typename TFeatureImageType >
using itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::FeatureImagePixelType = typename FeatureImageType::PixelType

Extract the number of components in the vector pixel type .

Definition at line 87 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ FeatureImageType

template<typename TImageType , typename TFeatureImageType >
using itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::FeatureImageType = TFeatureImageType

Definition at line 69 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ MahalanobisFunctionPointer

template<typename TImageType , typename TFeatureImageType >
using itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::MahalanobisFunctionPointer = typename MahalanobisFunctionType::Pointer

Definition at line 91 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ MahalanobisFunctionType

template<typename TImageType , typename TFeatureImageType >
using itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::MahalanobisFunctionType = Statistics::MahalanobisDistanceMembershipFunction<FeatureScalarType>

Definition at line 90 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ MeanVectorType

template<typename TImageType , typename TFeatureImageType >
using itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::MeanVectorType = typename MahalanobisFunctionType::MeanVectorType

Definition at line 92 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ Pointer

template<typename TImageType , typename TFeatureImageType >
using itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::Pointer = SmartPointer<Self>

Definition at line 67 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ Self

template<typename TImageType , typename TFeatureImageType >
using itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::Self = VectorThresholdSegmentationLevelSetFunction

Standard class type aliases.

Definition at line 65 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ Superclass

template<typename TImageType , typename TFeatureImageType >
using itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::Superclass = SegmentationLevelSetFunction<TImageType, TFeatureImageType>

Definition at line 66 of file itkVectorThresholdSegmentationLevelSetFunction.h.

Constructor & Destructor Documentation

◆ VectorThresholdSegmentationLevelSetFunction()

template<typename TImageType , typename TFeatureImageType >
itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::VectorThresholdSegmentationLevelSetFunction ( )
inlineprotected

Definition at line 146 of file itkVectorThresholdSegmentationLevelSetFunction.h.

References New().

◆ ~VectorThresholdSegmentationLevelSetFunction()

template<typename TImageType , typename TFeatureImageType >
itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::~VectorThresholdSegmentationLevelSetFunction ( )
overrideprotecteddefault

Member Function Documentation

◆ CalculateSpeedImage()

template<typename TImageType , typename TFeatureImageType >
void itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::CalculateSpeedImage ( )
overridevirtual

This method must be defined in a subclass to implement a working function object. This method is called before the solver begins its work to produce the speed image used as the level set function's Propagation speed term. See LevelSetFunction for more information.

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

◆ GetCovariance()

template<typename TImageType , typename TFeatureImageType >
const CovarianceMatrixType & itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::GetCovariance ( ) const
inline

Definition at line 114 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ GetMean()

template<typename TImageType , typename TFeatureImageType >
const MeanVectorType & itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::GetMean ( ) const
inline

Set/Get mean and covariance

Definition at line 102 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ GetNameOfClass()

template<typename TImageType , typename TFeatureImageType >
const char * itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::GetNameOfClass ( ) const
overridevirtual
See also
LightObject::GetNameOfClass()

Reimplemented from itk::LevelSetFunction< TImageType >.

◆ GetThreshold()

template<typename TImageType , typename TFeatureImageType >
ScalarValueType itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::GetThreshold ( )
inline

Definition at line 127 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ Initialize()

template<typename TImageType , typename TFeatureImageType >
void itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::Initialize ( const RadiusType &  r)
inlineoverridevirtual

This method creates the appropriate member variable operators for the level-set calculations. The argument to this function is a the radius necessary for performing the level-set calculations.

Reimplemented from itk::LevelSetFunction< TImageType >.

Definition at line 136 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ New()

template<typename TImageType , typename TFeatureImageType >
static Pointer itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::New ( )
static

Method for creation through the object factory.

◆ PrintSelf()

template<typename TImageType , typename TFeatureImageType >
void itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
inlineoverrideprotectedvirtual

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::LevelSetFunction< TImageType >.

Definition at line 166 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ SetCovariance()

template<typename TImageType , typename TFeatureImageType >
void itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::SetCovariance ( const CovarianceMatrixType &  cov)
inline

Definition at line 109 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ SetMean()

template<typename TImageType , typename TFeatureImageType >
void itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::SetMean ( const MeanVectorType &  mean)
inline

Set/Get mean and covariance

Definition at line 97 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ SetThreshold()

template<typename TImageType , typename TFeatureImageType >
void itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::SetThreshold ( ScalarValueType  thr)
inline

Set/Get the threshold value for the MahalanobisDistance

Definition at line 121 of file itkVectorThresholdSegmentationLevelSetFunction.h.

Member Data Documentation

◆ ImageDimension

template<typename TImageType , typename TFeatureImageType >
constexpr unsigned int itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::ImageDimension = Superclass::ImageDimension
staticconstexpr

Extract some parameters from the superclass.

Definition at line 84 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ m_Mahalanobis

template<typename TImageType , typename TFeatureImageType >
MahalanobisFunctionPointer itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::m_Mahalanobis {}
protected

Definition at line 173 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ m_Threshold

template<typename TImageType , typename TFeatureImageType >
ScalarValueType itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::m_Threshold {}
protected

Definition at line 174 of file itkVectorThresholdSegmentationLevelSetFunction.h.

◆ NumberOfComponents

template<typename TImageType , typename TFeatureImageType >
constexpr unsigned int itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >::NumberOfComponents = FeatureImagePixelType::Dimension
staticconstexpr

Definition at line 88 of file itkVectorThresholdSegmentationLevelSetFunction.h.

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