SimpleITK
itk::simple::ObjectnessMeasureImageFilter Class Reference

Enhance M-dimensional objects in N-dimensional images. More...

#include <sitkObjectnessMeasureImageFilter.h>

Inheritance diagram for itk::simple::ObjectnessMeasureImageFilter:
Collaboration diagram for itk::simple::ObjectnessMeasureImageFilter:

## Detailed Description

Enhance M-dimensional objects in N-dimensional images.

This filter is a generalization of Frangi's vesselness measurement for detecting M-dimensional object in N-dimensional space. For example a vessel is a 1-D object in 3-D space. The filter can enhance blob-like structures (M=0), vessel-like structures (M=1), 2D plate-like structures (M=2), hyper-plate-like structures (M=3) in N-dimensional images, with M<N.

This filter takes a scalar image as input and produces a real valued image as output which contains the objectness measure at each pixel. Internally, it computes a Hessian via discrete central differences. Before applying this filter it is expected that a Gaussian smoothing filter at an appropriate scale (sigma) was applied to the input image.

The enhancement is based on the eigenvalues of the Hessian matrix. For the Frangi's vesselness case were M=1 and N=3 we have the 3 eigenvalues such that $$| \lambda_1 | < | \lambda_2 | < |\lambda_3 |$$ . The formula follows:

$R_A = \frac{|\lambda_2|}{|\lambda_3|}, \; R_B = \frac{|\lambda_2|}{|\lambda_2\lambda_3|}, \; S = \sqrt{\lambda_1^2+\lambda_2^2+\lambda_3^2}$

$V_{\sigma}= \begin{cases} (1-e^{-\frac{R_A^2}{2\alpha^2}}) \cdot e^{\frac{R_B^2}{2\beta^2}} \cdot (1-e^{-\frac{S^2}{2\gamma^2}}) & \text{if } \lambda_2<0 \text{ and } \lambda_3<0 \text{,}\\ 0 & \text{otherwise} \end{cases}$

References
Antiga, L. Generalizing vesselness with respect to dimensionality and shape. https://hdl.handle.net/1926/576
Frangi, AF, Niessen, WJ, Vincken, KL, & Viergever, MA (1998). Multiscale Vessel Enhancement Filtering. In Wells, WM, Colchester, A, & Delp, S, Editors, MICCAI '98 Medical Image Computing and Computer-Assisted Intervention, Lecture Notes in Computer Science, pages 130-137, Springer Verlag, 1998.
itk::HessianToObjectnessMeasureImageFilter
itk::simple::ObjectnessMeasure for the procedural interface
itk::ObjectnessMeasureImageFilter for the Doxygen on the original ITK class.

Definition at line 55 of file sitkObjectnessMeasureImageFilter.h.

## Public Types

using PixelIDTypeList = RealPixelIDTypeList

using Self = ObjectnessMeasureImageFilter

Public Types inherited from itk::simple::ImageFilter
using Self = ImageFilter

Public Types inherited from itk::simple::ProcessObject
using Self = ProcessObject

## Public Member Functions

SelfBrightObjectOff ()

SelfBrightObjectOn ()

Image Execute (const Image &image1)

double GetAlpha () const

double GetBeta () const

bool GetBrightObject () const

double GetGamma () const

std::string GetName () const

unsigned int GetObjectDimension () const

bool GetScaleObjectnessMeasure () const

ObjectnessMeasureImageFilter ()

SelfScaleObjectnessMeasureOff ()

SelfScaleObjectnessMeasureOn ()

SelfSetAlpha (double Alpha)

SelfSetBeta (double Beta)

SelfSetBrightObject (bool BrightObject)

SelfSetGamma (double Gamma)

SelfSetObjectDimension (unsigned int ObjectDimension)

SelfSetScaleObjectnessMeasure (bool ScaleObjectnessMeasure)

std::string ToString () const

virtual ~ObjectnessMeasureImageFilter ()

Public Member Functions inherited from itk::simple::ImageFilter
ImageFilter ()

virtual ~ImageFilter ()=0

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

virtual int AddCommand (itk::simple::EventEnum event, const std::function< void()> &func)
Directly add a callback to observe an event. More...

virtual int AddCommand (itk::simple::EventEnum event, itk::simple::Command &cmd)
Add a Command Object to observer the event. More...

virtual float GetProgress () const
An Active Measurement of the progress of execution. More...

virtual bool HasCommand (itk::simple::EventEnum event) const
Query of this object has any registered commands for event. More...

ProcessObject ()

virtual void RemoveAllCommands ()
Remove all registered commands. More...

virtual ~ProcessObject ()

virtual void DebugOn ()

virtual void DebugOff ()

virtual bool GetDebug () const

virtual void SetDebug (bool debugFlag)

virtual void SetNumberOfThreads (unsigned int n)

virtual unsigned int GetNumberOfThreads () const

virtual void SetNumberOfWorkUnits (unsigned int n)

virtual unsigned int GetNumberOfWorkUnits () const

## Private Types

using MemberFunctionType = Image(Self::*)(const Image &image1)

## Private Member Functions

template<class TImageType >
Image ExecuteInternal (const Image &image1)

## Private Attributes

double m_Alpha {0.5}

double m_Beta {0.5}

bool m_BrightObject {true}

double m_Gamma {5.0}

std::unique_ptr< detail::MemberFunctionFactory< MemberFunctionType > > m_MemberFactory

unsigned int m_ObjectDimension {1u}

bool m_ScaleObjectnessMeasure {true}

## Friends

Static Public Member Functions inherited from itk::simple::ProcessObject
static bool GetGlobalDefaultDebug ()

static void GlobalDefaultDebugOff ()

static void GlobalDefaultDebugOn ()

static void SetGlobalDefaultDebug (bool debugFlag)

static void GlobalWarningDisplayOn ()

static void GlobalWarningDisplayOff ()

static void SetGlobalWarningDisplay (bool flag)

static bool GetGlobalWarningDisplay ()

static double GetGlobalDefaultCoordinateTolerance ()
Access the global tolerance to determine congruent spaces. More...

static void SetGlobalDefaultCoordinateTolerance (double)
Access the global tolerance to determine congruent spaces. More...

static double GetGlobalDefaultDirectionTolerance ()
Access the global tolerance to determine congruent spaces. More...

static void SetGlobalDefaultDirectionTolerance (double)
Access the global tolerance to determine congruent spaces. More...

Set/Get the default threader used for process objects. More...

Set/Get the default threader used for process objects. More...

static void SetGlobalDefaultNumberOfThreads (unsigned int n)

Set/Get the default threader used for process objects. More...

Protected Member Functions inherited from itk::simple::ImageFilter
void CheckImageMatchingDimension (const Image &image1, const Image &image2, const std::string &image2Name)

void CheckImageMatchingPixelType (const Image &image1, const Image &image2, const std::string &image2Name)

void CheckImageMatchingSize (const Image &image1, const Image &image2, const std::string &image2Name)

Protected Member Functions inherited from itk::simple::ProcessObject
virtual unsigned long AddITKObserver (const itk::EventObject &, itk::Command *)

virtual itk::ProcessObjectGetActiveProcess ()

virtual void OnActiveProcessDelete ()

virtual void onCommandDelete (const itk::simple::Command *cmd) noexcept

virtual void PreUpdate (itk::ProcessObject *p)

virtual void RemoveITKObserver (EventCommand &e)

Protected Member Functions inherited from itk::simple::NonCopyable
NonCopyable ()=default

NonCopyable (const NonCopyable &)=delete

NonCopyableoperator= (const NonCopyable &)=delete

Static Protected Member Functions inherited from itk::simple::ImageFilter
template<class TImageType >
static void FixNonZeroIndex (TImageType *img)

Static Protected Member Functions inherited from itk::simple::ProcessObject
template<class TImageType >
static TImageType::ConstPointer CastImageToITK (const Image &img)

template<class TPixelType , unsigned int VImageDimension, unsigned int VLength, template< typename, unsigned int > class TVector>
static Image CastITKToImage (itk::Image< TVector< TPixelType, VLength >, VImageDimension > *img)

template<unsigned int VImageDimension, unsigned int VLength, template< unsigned int > class TVector>
static Image CastITKToImage (itk::Image< TVector< VLength >, VImageDimension > *img)

template<class TImageType >
static Image CastITKToImage (TImageType *img)

static const itk::EventObjectGetITKEventObject (EventEnum e)

template<typename T >
static std::ostream & ToStringHelper (std::ostream &os, const T &v)

static std::ostream & ToStringHelper (std::ostream &os, const char &v)

static std::ostream & ToStringHelper (std::ostream &os, const signed char &v)

static std::ostream & ToStringHelper (std::ostream &os, const unsigned char &v)

## ◆ MemberFunctionType

 using itk::simple::ObjectnessMeasureImageFilter::MemberFunctionType = Image (Self::*)( const Image& image1 )
private

Setup for member function dispatching

Definition at line 153 of file sitkObjectnessMeasureImageFilter.h.

## ◆ PixelIDTypeList

Define the pixels types supported by this filter

Definition at line 67 of file sitkObjectnessMeasureImageFilter.h.

## ◆ Self

Definition at line 57 of file sitkObjectnessMeasureImageFilter.h.

## ◆ ~ObjectnessMeasureImageFilter()

 virtual itk::simple::ObjectnessMeasureImageFilter::~ObjectnessMeasureImageFilter ( )
virtual

Destructor

## ◆ ObjectnessMeasureImageFilter()

 itk::simple::ObjectnessMeasureImageFilter::ObjectnessMeasureImageFilter ( )

Default Constructor that takes no arguments and initializes default parameters

## ◆ BrightObjectOff()

 Self& itk::simple::ObjectnessMeasureImageFilter::BrightObjectOff ( )
inline

Definition at line 131 of file sitkObjectnessMeasureImageFilter.h.

## ◆ BrightObjectOn()

 Self& itk::simple::ObjectnessMeasureImageFilter::BrightObjectOn ( )
inline

Set the value of BrightObject to true or false respectfully.

Definition at line 130 of file sitkObjectnessMeasureImageFilter.h.

## ◆ Execute()

 Image itk::simple::ObjectnessMeasureImageFilter::Execute ( const Image & image1 )

Execute the filter on the input image

## ◆ ExecuteInternal()

template<class TImageType >
 Image itk::simple::ObjectnessMeasureImageFilter::ExecuteInternal ( const Image & image1 )
private

## ◆ GetAlpha()

 double itk::simple::ObjectnessMeasureImageFilter::GetAlpha ( ) const
inline

Set/Get Alpha, the weight corresponding to R_A (the ratio of the smallest eigenvalue that has to be large to the larger ones). Smaller values lead to increased sensitivity to the object dimensionality.

Definition at line 78 of file sitkObjectnessMeasureImageFilter.h.

## ◆ GetBeta()

 double itk::simple::ObjectnessMeasureImageFilter::GetBeta ( ) const
inline

Set/Get Beta, the weight corresponding to R_B (the ratio of the largest eigenvalue that has to be small to the larger ones). Smaller values lead to increased sensitivity to the object dimensionality.

Definition at line 88 of file sitkObjectnessMeasureImageFilter.h.

## ◆ GetBrightObject()

 bool itk::simple::ObjectnessMeasureImageFilter::GetBrightObject ( ) const
inline

Enhance bright structures on a dark background if true, the opposite if false.

Definition at line 136 of file sitkObjectnessMeasureImageFilter.h.

## ◆ GetGamma()

 double itk::simple::ObjectnessMeasureImageFilter::GetGamma ( ) const
inline

Set/Get Gamma, the weight corresponding to S (the Frobenius norm of the Hessian matrix, or second-order structureness)

Definition at line 98 of file sitkObjectnessMeasureImageFilter.h.

## ◆ GetName()

 std::string itk::simple::ObjectnessMeasureImageFilter::GetName ( ) const
inlinevirtual

Name of this class

Implements itk::simple::ProcessObject.

Definition at line 139 of file sitkObjectnessMeasureImageFilter.h.

## ◆ GetObjectDimension()

 unsigned int itk::simple::ObjectnessMeasureImageFilter::GetObjectDimension ( ) const
inline

Set/Get the dimensionality of the object (0: points (blobs), 1: lines (vessels), 2: planes (plate-like structures), 3: hyper-planes. ObjectDimension must be smaller than ImageDimension.

Definition at line 122 of file sitkObjectnessMeasureImageFilter.h.

## ◆ GetScaleObjectnessMeasure()

 bool itk::simple::ObjectnessMeasureImageFilter::GetScaleObjectnessMeasure ( ) const
inline

Toggle scaling the objectness measure with the magnitude of the largest absolute eigenvalue

Definition at line 112 of file sitkObjectnessMeasureImageFilter.h.

## ◆ ScaleObjectnessMeasureOff()

 Self& itk::simple::ObjectnessMeasureImageFilter::ScaleObjectnessMeasureOff ( )
inline

Definition at line 107 of file sitkObjectnessMeasureImageFilter.h.

## ◆ ScaleObjectnessMeasureOn()

 Self& itk::simple::ObjectnessMeasureImageFilter::ScaleObjectnessMeasureOn ( )
inline

Set the value of ScaleObjectnessMeasure to true or false respectfully.

Definition at line 106 of file sitkObjectnessMeasureImageFilter.h.

## ◆ SetAlpha()

 Self& itk::simple::ObjectnessMeasureImageFilter::SetAlpha ( double Alpha )
inline

Set/Get Alpha, the weight corresponding to R_A (the ratio of the smallest eigenvalue that has to be large to the larger ones). Smaller values lead to increased sensitivity to the object dimensionality.

Definition at line 73 of file sitkObjectnessMeasureImageFilter.h.

## ◆ SetBeta()

 Self& itk::simple::ObjectnessMeasureImageFilter::SetBeta ( double Beta )
inline

Set/Get Beta, the weight corresponding to R_B (the ratio of the largest eigenvalue that has to be small to the larger ones). Smaller values lead to increased sensitivity to the object dimensionality.

Definition at line 83 of file sitkObjectnessMeasureImageFilter.h.

## ◆ SetBrightObject()

 Self& itk::simple::ObjectnessMeasureImageFilter::SetBrightObject ( bool BrightObject )
inline

Enhance bright structures on a dark background if true, the opposite if false.

Definition at line 127 of file sitkObjectnessMeasureImageFilter.h.

## ◆ SetGamma()

 Self& itk::simple::ObjectnessMeasureImageFilter::SetGamma ( double Gamma )
inline

Set/Get Gamma, the weight corresponding to S (the Frobenius norm of the Hessian matrix, or second-order structureness)

Definition at line 93 of file sitkObjectnessMeasureImageFilter.h.

## ◆ SetObjectDimension()

 Self& itk::simple::ObjectnessMeasureImageFilter::SetObjectDimension ( unsigned int ObjectDimension )
inline

Set/Get the dimensionality of the object (0: points (blobs), 1: lines (vessels), 2: planes (plate-like structures), 3: hyper-planes. ObjectDimension must be smaller than ImageDimension.

Definition at line 117 of file sitkObjectnessMeasureImageFilter.h.

## ◆ SetScaleObjectnessMeasure()

 Self& itk::simple::ObjectnessMeasureImageFilter::SetScaleObjectnessMeasure ( bool ScaleObjectnessMeasure )
inline

Toggle scaling the objectness measure with the magnitude of the largest absolute eigenvalue

Definition at line 103 of file sitkObjectnessMeasureImageFilter.h.

## ◆ ToString()

 std::string itk::simple::ObjectnessMeasureImageFilter::ToString ( ) const
virtual

Print ourselves out

Reimplemented from itk::simple::ProcessObject.

## Friends And Related Function Documentation

friend

Definition at line 157 of file sitkObjectnessMeasureImageFilter.h.

## ◆ m_Alpha

 double itk::simple::ObjectnessMeasureImageFilter::m_Alpha {0.5}
private

Definition at line 162 of file sitkObjectnessMeasureImageFilter.h.

## ◆ m_Beta

 double itk::simple::ObjectnessMeasureImageFilter::m_Beta {0.5}
private

Definition at line 165 of file sitkObjectnessMeasureImageFilter.h.

## ◆ m_BrightObject

 bool itk::simple::ObjectnessMeasureImageFilter::m_BrightObject {true}
private

Definition at line 173 of file sitkObjectnessMeasureImageFilter.h.

## ◆ m_Gamma

 double itk::simple::ObjectnessMeasureImageFilter::m_Gamma {5.0}
private

Definition at line 167 of file sitkObjectnessMeasureImageFilter.h.

## ◆ m_MemberFactory

 std::unique_ptr > itk::simple::ObjectnessMeasureImageFilter::m_MemberFactory
private

Definition at line 159 of file sitkObjectnessMeasureImageFilter.h.

## ◆ m_ObjectDimension

 unsigned int itk::simple::ObjectnessMeasureImageFilter::m_ObjectDimension {1u}
private

Definition at line 171 of file sitkObjectnessMeasureImageFilter.h.

## ◆ m_ScaleObjectnessMeasure

 bool itk::simple::ObjectnessMeasureImageFilter::m_ScaleObjectnessMeasure {true}
private

Definition at line 169 of file sitkObjectnessMeasureImageFilter.h.

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