ITK  4.4.0
Insight Segmentation and Registration Toolkit
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itk::FiniteDifferenceFunction< TImageType > Class Template Referenceabstract

#include <itkFiniteDifferenceFunction.h>

+ Inheritance diagram for itk::FiniteDifferenceFunction< TImageType >:
+ Collaboration diagram for itk::FiniteDifferenceFunction< TImageType >:

Detailed Description

template<class TImageType>
class itk::FiniteDifferenceFunction< TImageType >

This class is a component object of the finite difference solver hierarchy (see FiniteDifferenceImageFilter). It defines a generic interface for a function object that computes a single scalar value from a neighborhood of values. Examples of the application of this class are the various flavors of AnisotropicDiffusionFunction and LevelSetFunction objects.

These functions calculate the incremental change at a pixel in the solution image from one iteration of the Partial Differential Equation (PDE) solver to the next.

Subclasses of FiniteDifferenceImageFilter (solvers) call the ComputeUpdate() method of this class to compute $ \Delta u^n_{\mathbf{i}} $ at each $ \mathbf{i} $ in $ u $. Because the size of the time step for each iteration of the p.d.e. solution depends on the particular calculations done, this function object is also responsible for computing that time step (see ComputeGlobalTimeStep() ).
How to use this class
FiniteDifferenceFunction must be subclassed to add functionality for ComputeUpdate, ComputeGlobalTimeStep, and Get/ReleaseGlobalDataPointer.
A note on thread safety.
The ComputeUpdate() methods of this filter are declared as const to enforce thread-safety during execution of FiniteDifferenceImageFilter solver algorithms. The InitializeIteration() method is intended to provide a safe way to modify the state of the object between threaded calculations of solvers.
Todo:
Possibly subclass this object from Function. Stumbling blocks here are the specialized api of FiniteDifferenceFunction.

Definition at line 66 of file itkFiniteDifferenceFunction.h.

Public Types

typedef SmartPointer< const SelfConstPointer
 
typedef
ZeroFluxNeumannBoundaryCondition
< ImageType
DefaultBoundaryConditionType
 
typedef Vector< float,
itkGetStaticConstMacro(ImageDimension) > 
FloatOffsetType
 
typedef TImageType ImageType
 
typedef Vector< PixelRealType,
itkGetStaticConstMacro(ImageDimension) > 
NeighborhoodScalesType
 
typedef
ConstNeighborhoodIterator
< TImageType,
DefaultBoundaryConditionType
NeighborhoodType
 
typedef double PixelRealType
 
typedef ImageType::PixelType PixelType
 
typedef SmartPointer< SelfPointer
 
typedef
ConstNeighborhoodIterator
< TImageType >::RadiusType 
RadiusType
 
typedef FiniteDifferenceFunction Self
 
typedef LightObject Superclass
 
typedef double TimeStepType
 
- Public Types inherited from itk::LightObject
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef LightObject Self
 

Public Member Functions

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
 
virtual const char * GetNameOfClass () const
 
const RadiusTypeGetRadius () const
 
void GetScaleCoefficients (PixelRealType vals[ImageDimension]) const
 
virtual void InitializeIteration ()
 
virtual void ReleaseGlobalDataPointer (void *GlobalData) const =0
 
void SetRadius (const RadiusType &r)
 
void SetScaleCoefficients (PixelRealType vals[ImageDimension])
 
- Public Member Functions inherited from itk::LightObject
virtual Pointer CreateAnother () const
 
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
 

Static Public Attributes

static const unsigned int ImageDimension = ImageType::ImageDimension
 

Protected Member Functions

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

Protected Attributes

RadiusType m_Radius
 
PixelRealType m_ScaleCoefficients [ImageDimension]
 
- Protected Attributes inherited from itk::LightObject
InternalReferenceCountType m_ReferenceCount
 
SimpleFastMutexLock m_ReferenceCountLock
 

Private Member Functions

 FiniteDifferenceFunction (const Self &)
 
void operator= (const Self &)
 

Additional Inherited Members

- Static Public Member Functions inherited from itk::LightObject
static void BreakOnError ()
 
static Pointer New ()
 
- Protected Types inherited from itk::LightObject
typedef int InternalReferenceCountType
 

Member Typedef Documentation

template<class TImageType>
typedef SmartPointer< const Self > itk::FiniteDifferenceFunction< TImageType >::ConstPointer

Definition at line 74 of file itkFiniteDifferenceFunction.h.

The default boundary condition for finite difference functions that is used unless overridden in the Evaluate() method.

Definition at line 93 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
typedef Vector< float, itkGetStaticConstMacro(ImageDimension) > itk::FiniteDifferenceFunction< TImageType >::FloatOffsetType

A floating point offset from an image grid location. Used for interpolation among grid values in a neighborhood.

Definition at line 108 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
typedef TImageType itk::FiniteDifferenceFunction< TImageType >::ImageType

Extract some parameters from the image type

Definition at line 77 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
typedef Vector< PixelRealType, itkGetStaticConstMacro(ImageDimension) > itk::FiniteDifferenceFunction< TImageType >::NeighborhoodScalesType

The type of data structure that holds the scales with which the neighborhood is weighted to properly account for spacing and neighborhood radius.

Definition at line 104 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
typedef ConstNeighborhoodIterator< TImageType, DefaultBoundaryConditionType > itk::FiniteDifferenceFunction< TImageType >::NeighborhoodType

The type of data structure that is passed to this function object to evaluate at a pixel that does not lie on a data set boundary.

Definition at line 100 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
typedef double itk::FiniteDifferenceFunction< TImageType >::PixelRealType

Definition at line 82 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
typedef ImageType::PixelType itk::FiniteDifferenceFunction< TImageType >::PixelType

Definition at line 81 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
typedef SmartPointer< Self > itk::FiniteDifferenceFunction< TImageType >::Pointer

Definition at line 73 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
typedef ConstNeighborhoodIterator< TImageType >::RadiusType itk::FiniteDifferenceFunction< TImageType >::RadiusType

Neighborhood radius type

Definition at line 96 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
typedef FiniteDifferenceFunction itk::FiniteDifferenceFunction< TImageType >::Self

Standard class typedefs.

Definition at line 71 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
typedef LightObject itk::FiniteDifferenceFunction< TImageType >::Superclass

Definition at line 72 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
typedef double itk::FiniteDifferenceFunction< TImageType >::TimeStepType

Define the TimeStepType to always be double.

Definition at line 88 of file itkFiniteDifferenceFunction.h.

Constructor & Destructor Documentation

template<class TImageType>
itk::FiniteDifferenceFunction< TImageType >::FiniteDifferenceFunction ( )
protected
template<class TImageType>
itk::FiniteDifferenceFunction< TImageType >::~FiniteDifferenceFunction ( )
inlineprotected

Definition at line 188 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
itk::FiniteDifferenceFunction< TImageType >::FiniteDifferenceFunction ( const Self )
private

Member Function Documentation

template<class TImageType>
virtual TimeStepType itk::FiniteDifferenceFunction< TImageType >::ComputeGlobalTimeStep ( void *  GlobalData) const
pure virtual

Computes the time step for an update given a global data structure. The data used in the computation may take different forms depending on the nature of the equations. This global data cannot be kept in the instance of the equation object itself since the equation object must remain stateless for thread safety. The global data is therefore managed for each thread by the finite difference solver filters.

Implemented in itk::AnisotropicDiffusionFunction< TImage >, itk::LevelSetFunction< TImageType >, itk::RegionBasedLevelSetFunction< TInput, TFeature, TSharedData >, itk::RegionBasedLevelSetFunction< TInputImage, TFeatureImage, TSharedData >, itk::ESMDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::GPUDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::DemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::LevelSetMotionRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::FastSymmetricForcesDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::SymmetricForcesDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::NCCRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::MeanSquareRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::MIRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::LevelSetFunctionWithRefitTerm< TImageType, TSparseImageType >, itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::GPUAnisotropicDiffusionFunction< TImage >, itk::NormalVectorFunctionBase< TSparseImageType >, and itk::CurvatureFlowFunction< TImage >.

template<class TImageType>
const NeighborhoodScalesType itk::FiniteDifferenceFunction< TImageType >::ComputeNeighborhoodScales ( ) const

Compute the scales that weight the neighborhood during difference operations to properly account for spacing and neighborhood radius

template<class TImageType>
virtual PixelType itk::FiniteDifferenceFunction< TImageType >::ComputeUpdate ( const NeighborhoodType neighborhood,
void *  globalData,
const FloatOffsetType offset = FloatOffsetType(0.0) 
)
pure virtual

This method is called by a finite difference solver image filter at each pixel that does not lie on a data set boundary. The width of the data set boundary is defined by the width of the neighborhood being evaluated.

The neighborhood argument is the neighborhood data. The globalData argument is a pointer to a data structure that holds values that need to be persistent across calls to this function, but cannot be stored in the function object itself for thread-safety reasons. Examples are values needed to compute the time-step for an iteration of the solver.

See Also
InitializeIteration
ComputeGlobalTimeStep

Implemented in itk::RegionBasedLevelSetFunction< TInput, TFeature, TSharedData >, itk::RegionBasedLevelSetFunction< TInputImage, TFeatureImage, TSharedData >, itk::LevelSetFunction< TImageType >, itk::ESMDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::DemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::LevelSetMotionRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::FastSymmetricForcesDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::SymmetricForcesDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::NCCRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::MeanSquareRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::MIRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::CurvatureFlowFunction< TImage >, itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::CurvatureNDAnisotropicDiffusionFunction< TImage >, itk::GradientNDAnisotropicDiffusionFunction< TImage >, itk::GPUFiniteDifferenceFunction< TImageType >, itk::GPUFiniteDifferenceFunction< TImage >, itk::GPUFiniteDifferenceFunction< TDisplacementField >, itk::FiniteDifferenceSparseImageFunction< TSparseImageType >, itk::MinMaxCurvatureFlowFunction< TImage >, itk::VectorGradientNDAnisotropicDiffusionFunction< TImage >, itk::BinaryMinMaxCurvatureFlowFunction< TImage >, and itk::VectorCurvatureNDAnisotropicDiffusionFunction< TImage >.

template<class TImageType>
virtual void* itk::FiniteDifferenceFunction< TImageType >::GetGlobalDataPointer ( ) const
pure virtual

Returns a pointer to a global data structure that is passed to this object from the solver at each calculation. The idea is that the solver holds the state of any global values needed to calculate the time step, while the equation object performs the actual calculations.

The global data should also be initialized in this method.

Implemented in itk::AnisotropicDiffusionFunction< TImage >, itk::LevelSetFunction< TImageType >, itk::RegionBasedLevelSetFunction< TInput, TFeature, TSharedData >, itk::RegionBasedLevelSetFunction< TInputImage, TFeatureImage, TSharedData >, itk::GPUDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::ESMDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::DemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::FastSymmetricForcesDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::LevelSetMotionRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::SymmetricForcesDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::NCCRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::MeanSquareRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::MIRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::GPUAnisotropicDiffusionFunction< TImage >, itk::CurvatureFlowFunction< TImage >, and itk::NormalVectorFunctionBase< TSparseImageType >.

template<class TImageType>
virtual const char* itk::FiniteDifferenceFunction< TImageType >::GetNameOfClass ( ) const
virtual

Run-time type information (and related methods)

Reimplemented from itk::LightObject.

Reimplemented in itk::AnisotropicDiffusionFunction< TImage >, itk::GeodesicActiveContourShapePriorLevelSetFunction< TImageType, TFeatureImageType >, itk::GeodesicActiveContourLevelSetFunction< TImageType, TFeatureImageType >, itk::CurvatureNDAnisotropicDiffusionFunction< TImage >, itk::ScalarChanAndVeseLevelSetFunction< TInputImage, TFeatureImage, TSharedData >, itk::ShapeDetectionLevelSetFunction< TImageType, TFeatureImageType >, itk::RegionBasedLevelSetFunction< TInput, TFeature, TSharedData >, itk::RegionBasedLevelSetFunction< TInputImage, TFeatureImage, TSharedData >, itk::LevelSetFunction< TImageType >, itk::SymmetricForcesDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::ESMDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >, itk::ScalarRegionBasedLevelSetFunction< TInputImage, TFeatureImage, TSharedData >, itk::GradientNDAnisotropicDiffusionFunction< TImage >, itk::GPUDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::LevelSetMotionRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::GPUGradientNDAnisotropicDiffusionFunction< TImage >, itk::DemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::ThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::NormalVectorDiffusionFunction< TSparseImageType >, itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::MeanSquareRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::MIRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::NCCRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::ScalarAnisotropicDiffusionFunction< TImage >, itk::VectorAnisotropicDiffusionFunction< TImage >, itk::FastSymmetricForcesDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::LevelSetFunctionWithRefitTerm< TImageType, TSparseImageType >, itk::NormalVectorFunctionBase< TSparseImageType >, itk::FiniteDifferenceSparseImageFunction< TSparseImageType >, itk::VectorCurvatureNDAnisotropicDiffusionFunction< TImage >, itk::VectorGradientNDAnisotropicDiffusionFunction< TImage >, itk::GPUFiniteDifferenceFunction< TImageType >, itk::GPUFiniteDifferenceFunction< TImage >, itk::GPUFiniteDifferenceFunction< TDisplacementField >, itk::CurvatureFlowFunction< TImage >, itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::BinaryMinMaxCurvatureFlowFunction< TImage >, itk::MinMaxCurvatureFlowFunction< TImage >, itk::PDEDeformableRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::GPUPDEDeformableRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::CannySegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::LaplacianSegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::GPUAnisotropicDiffusionFunction< TImage >, and itk::GPUScalarAnisotropicDiffusionFunction< TImage >.

template<class TImageType>
const RadiusType& itk::FiniteDifferenceFunction< TImageType >::GetRadius ( ) const

Returns the radius of the neighborhood this FiniteDifferenceFunction needs to perform its calculations.

template<class TImageType>
void itk::FiniteDifferenceFunction< TImageType >::GetScaleCoefficients ( PixelRealType  vals[ImageDimension]) const

Returns the current scale coefficients.

template<class TImageType>
virtual void itk::FiniteDifferenceFunction< TImageType >::InitializeIteration ( )
inlinevirtual

This method allows the function to set its state before each iteration of the finite difference solver (image filter) that uses it. This is a thread-safe time to manipulate the object's state.

An example of how this can be used: the AnisotropicDiffusionFunction class of FiniteDifferenceFunction use this method to pre-calculate an average gradient magnitude across the entire image region. This value is set in the function object and used by the ComputeUpdate() methods that are called at each pixel as a constant.

Reimplemented in itk::GPUDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::ESMDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::DemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::LevelSetMotionRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::FastSymmetricForcesDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::SymmetricForcesDemonsRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::NCCRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::MeanSquareRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::MIRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >, itk::CurvatureNDAnisotropicDiffusionFunction< TImage >, itk::GradientNDAnisotropicDiffusionFunction< TImage >, itk::GPUGradientNDAnisotropicDiffusionFunction< TImage >, itk::VectorGradientNDAnisotropicDiffusionFunction< TImage >, itk::GPUFiniteDifferenceFunction< TImageType >, itk::GPUFiniteDifferenceFunction< TImage >, itk::GPUFiniteDifferenceFunction< TDisplacementField >, and itk::VectorCurvatureNDAnisotropicDiffusionFunction< TImage >.

Definition at line 119 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
void itk::FiniteDifferenceFunction< TImageType >::operator= ( const Self )
private
template<class TImageType>
void itk::FiniteDifferenceFunction< TImageType >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
protectedvirtual
template<class TImageType>
virtual void itk::FiniteDifferenceFunction< TImageType >::ReleaseGlobalDataPointer ( void *  GlobalData) const
pure virtual
template<class TImageType>
void itk::FiniteDifferenceFunction< TImageType >::SetRadius ( const RadiusType r)

Sets the radius of the neighborhood this FiniteDifferenceFunction needs to perform its calculations.

template<class TImageType>
void itk::FiniteDifferenceFunction< TImageType >::SetScaleCoefficients ( PixelRealType  vals[ImageDimension])

Set the ScaleCoefficients for the difference operators. The defaults a 1.0. These can be set to take the image spacing into account.

Member Data Documentation

template<class TImageType>
const unsigned int itk::FiniteDifferenceFunction< TImageType >::ImageDimension = ImageType::ImageDimension
static

Save image dimension.

Definition at line 85 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
RadiusType itk::FiniteDifferenceFunction< TImageType >::m_Radius
protected

Definition at line 192 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
PixelRealType itk::FiniteDifferenceFunction< TImageType >::m_ScaleCoefficients[ImageDimension]
protected

Definition at line 193 of file itkFiniteDifferenceFunction.h.


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