SimpleITK  1.0.1
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itk::simple::DisplacementFieldJacobianDeterminantFilter Class Reference

Computes a scalar image from a vector image (e.g., deformation field) input, where each output scalar at each pixel is the Jacobian determinant of the vector field at that location. This calculation is correct in the case where the vector image is a "displacement" from the current location. The computation for the jacobian determinant is: det[ dT/dx ] = det[ I + du/dx ]. More...

#include <sitkDisplacementFieldJacobianDeterminantFilter.h>

+ Inheritance diagram for itk::simple::DisplacementFieldJacobianDeterminantFilter:
+ Collaboration diagram for itk::simple::DisplacementFieldJacobianDeterminantFilter:

Public Types

typedef RealVectorPixelIDTypeList PixelIDTypeList
typedef DisplacementFieldJacobianDeterminantFilter Self
- Public Types inherited from itk::simple::ImageFilter< 1 >
typedef ImageFilter Self
- Public Types inherited from itk::simple::ProcessObject
typedef ProcessObject Self

Public Member Functions

 DisplacementFieldJacobianDeterminantFilter ()
Image Execute (const Image &image1)
Image Execute (const Image &image1, bool useImageSpacing, const std::vector< double > &derivativeWeights)
std::vector< double > GetDerivativeWeights () const
std::string GetName () const
bool GetUseImageSpacing () const
SelfSetDerivativeWeights (const std::vector< double > &DerivativeWeights)
SelfSetUseImageSpacing (bool UseImageSpacing)
std::string ToString () const
SelfUseImageSpacingOff ()
SelfUseImageSpacingOn ()
 ~DisplacementFieldJacobianDeterminantFilter ()
- Public Member Functions inherited from itk::simple::ImageFilter< 1 >
 ImageFilter ()
virtual ~ImageFilter ()=0
- Public Member Functions inherited from itk::simple::ProcessObject
virtual void Abort ()
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

Private Types

typedef Image(Self::* MemberFunctionType) (const Image &image1)

Private Member Functions

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

Private Attributes

std::vector< double > m_DerivativeWeights
nsstd::auto_ptr< detail::MemberFunctionFactory< MemberFunctionType > > m_MemberFactory
bool m_UseImageSpacing


struct detail::MemberFunctionAddressor< MemberFunctionType >

Additional Inherited Members

- 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 void SetGlobalDefaultNumberOfThreads (unsigned int n)
static unsigned int GetGlobalDefaultNumberOfThreads ()
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...
- 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) throw ()
virtual void PreUpdate (itk::ProcessObject *p)
virtual void RemoveITKObserver (EventCommand &e)
- Protected Member Functions inherited from itk::simple::NonCopyable
 NonCopyable ()
- Static Protected Member Functions inherited from itk::simple::ImageFilter< 1 >
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 TImageType >
static Image CastITKToImage (TImageType *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)
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)

Detailed Description

Computes a scalar image from a vector image (e.g., deformation field) input, where each output scalar at each pixel is the Jacobian determinant of the vector field at that location. This calculation is correct in the case where the vector image is a "displacement" from the current location. The computation for the jacobian determinant is: det[ dT/dx ] = det[ I + du/dx ].

This filter is based on itkVectorGradientMagnitudeImageFilter and supports the m_DerivativeWeights weights for partial derivatives.

Note that the determinant of a zero vector field is also zero, whereas the Jacobian determinant of the corresponding identity warp transformation is 1.0. In order to compute the effective deformation Jacobian determinant 1.0 must be added to the diagonal elements of Jacobian prior to taking the derivative. i.e. det([ (1.0+dx/dx) dx/dy dx/dz ; dy/dx (1.0+dy/dy) dy/dz; dz/dx dz/dy (1.0+dz/dz) ])

Template Parameters (Input and Output)
This filter has one required template parameter which defines the input image type. The pixel type of the input image is assumed to be a vector (e.g., itk::Vector , itk::RGBPixel , itk::FixedArray ). The scalar type of the vector components must be castable to floating point. Instantiating with an image of RGBPixel<unsigned short>, for example, is allowed, but the filter will convert it to an image of Vector<float,3> for processing.

The second template parameter, TRealType, can be optionally specified to define the scalar numerical type used in calculations. This is the component type of the output image, which will be of itk::Vector<TRealType, N>, where N is the number of channels in the multiple component input image. The default type of TRealType is float. For extra precision, you may safely change this parameter to double.

The third template parameter is the output image type. The third parameter will be automatically constructed from the first and second parameters, so it is not necessary (or advisable) to set this parameter explicitly. Given an M-channel input image with dimensionality N, and a numerical type specified as TRealType, the output image will be of type itk::Image<TRealType, N>.

Filter Parameters
The method SetUseImageSpacingOn will cause derivatives in the image to be scaled (inversely) with the pixel size of the input image, effectively taking derivatives in world coordinates (versus isotropic image space). SetUseImageSpacingOff turns this functionality off. Default is UseImageSpacingOn. The parameter UseImageSpacing can be set directly with the method SetUseImageSpacing(bool) .

Weights can be applied to the derivatives directly using the SetDerivativeWeights method. Note that if UseImageSpacing is set to TRUE (ON), then these weights will be overridden by weights derived from the image spacing when the filter is updated. The argument to this method is a C array of TRealValue type.

We use vnl_det for determinent computation, which only supports square matrices. So the vector dimension of the input image values must be equal to the image dimensions, which is trivially true for a deformation field that maps an n-dimensional space onto itself.

Currently, dimensions up to and including 4 are supported. This limitation comes from the presence of vnl_det() functions for matrices of dimension up to 4x4.

The template parameter TRealType must be floating point (float or double) or a user-defined "real" numerical type with arithmetic operations defined sufficient to compute derivatives.

See also
This class was adapted by
Hans J. Johnson, The University of Iowa from code provided by

Tom Vercauteren, INRIA & Mauna Kea Technologies

Torsten Rohlfing, Neuroscience Program, SRI International.

See also
itk::simple::DisplacementFieldJacobianDeterminantFilter for the procedural interface
itk::DisplacementFieldJacobianDeterminantFilter for the Doxygen on the original ITK class.

Definition at line 80 of file sitkDisplacementFieldJacobianDeterminantFilter.h.

Member Typedef Documentation

typedef Image(Self::* itk::simple::DisplacementFieldJacobianDeterminantFilter::MemberFunctionType) (const Image &image1)

Setup for member function dispatching

Definition at line 137 of file sitkDisplacementFieldJacobianDeterminantFilter.h.

Define the pixels types supported by this filter

Definition at line 92 of file sitkDisplacementFieldJacobianDeterminantFilter.h.

Constructor & Destructor Documentation

itk::simple::DisplacementFieldJacobianDeterminantFilter::DisplacementFieldJacobianDeterminantFilter ( )

Default Constructor that takes no arguments and initializes default parameters

itk::simple::DisplacementFieldJacobianDeterminantFilter::~DisplacementFieldJacobianDeterminantFilter ( )


Member Function Documentation

Image itk::simple::DisplacementFieldJacobianDeterminantFilter::Execute ( const Image image1)

Execute the filter on the input image

Image itk::simple::DisplacementFieldJacobianDeterminantFilter::Execute ( const Image image1,
bool  useImageSpacing,
const std::vector< double > &  derivativeWeights 

Execute the filter on the input image with the given parameters

template<class TImageType >
Image itk::simple::DisplacementFieldJacobianDeterminantFilter::ExecuteInternal ( const Image image1)
std::vector<double> itk::simple::DisplacementFieldJacobianDeterminantFilter::GetDerivativeWeights ( ) const

Directly Set/Get the array of weights used in the gradient calculations. Note that calling UseImageSpacingOn will clobber these values.

Definition at line 117 of file sitkDisplacementFieldJacobianDeterminantFilter.h.

std::string itk::simple::DisplacementFieldJacobianDeterminantFilter::GetName ( ) const

Name of this class

Implements itk::simple::ProcessObject.

Definition at line 119 of file sitkDisplacementFieldJacobianDeterminantFilter.h.

bool itk::simple::DisplacementFieldJacobianDeterminantFilter::GetUseImageSpacing ( ) const
Self& itk::simple::DisplacementFieldJacobianDeterminantFilter::SetDerivativeWeights ( const std::vector< double > &  DerivativeWeights)

Directly Set/Get the array of weights used in the gradient calculations. Note that calling UseImageSpacingOn will clobber these values.

Definition at line 112 of file sitkDisplacementFieldJacobianDeterminantFilter.h.

Self& itk::simple::DisplacementFieldJacobianDeterminantFilter::SetUseImageSpacing ( bool  UseImageSpacing)

Set/Get whether or not the filter will use the spacing of the input image in its calculations

Definition at line 99 of file sitkDisplacementFieldJacobianDeterminantFilter.h.

std::string itk::simple::DisplacementFieldJacobianDeterminantFilter::ToString ( ) const

Print ourselves out

Reimplemented from itk::simple::ProcessObject.

Self& itk::simple::DisplacementFieldJacobianDeterminantFilter::UseImageSpacingOff ( )
Self& itk::simple::DisplacementFieldJacobianDeterminantFilter::UseImageSpacingOn ( )

Set the value of UseImageSpacing to true or false respectfully.

Definition at line 102 of file sitkDisplacementFieldJacobianDeterminantFilter.h.

Friends And Related Function Documentation

Member Data Documentation

std::vector<double> itk::simple::DisplacementFieldJacobianDeterminantFilter::m_DerivativeWeights
nsstd::auto_ptr<detail::MemberFunctionFactory<MemberFunctionType> > itk::simple::DisplacementFieldJacobianDeterminantFilter::m_MemberFactory
bool itk::simple::DisplacementFieldJacobianDeterminantFilter::m_UseImageSpacing

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