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itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage > Class Template Reference

#include <itkCorrelationImageToImageMetricv4.h>

+ Inheritance diagram for itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >:
+ Collaboration diagram for itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >:

Detailed Description

template<class TFixedImage, class TMovingImage, class TVirtualImage = TFixedImage>
class itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >

Class implementing normalized cross correlation image metric.

Definition of the normalized cross correlation metric used here:

negative square of normalized cross correlation

\[ C(f, m) = -\frac{<f-\bar{f}, m-\bar{m} >^2}{|f-\bar{f}}|^2 |m-\bar{m}|^2} \]

in which, f, m are the vectors of image pixel intensities, $\bar{f}$ and $\bar{m}$ are the mean values of f and m. <,> denotes inner product, $|\cdot|$ denotes the 2-norm of the vector. The minus sign makes the metric to optimize towards its minimal value. Note that this uses the square of the mathematical notion of normalized cross correlation to avoid the square root computation in practice.

Moving image (m) is a function of the parameters (p) of the moving transforms. So $ C(f, m) = C(f, m(p)) $ GetValueAndDerivative will return the value as $ C(f,m) $ and the derivative as

\[ \frac{d}{dp} C = 2 \frac{<f1, m1>}{|f1|^2 |m1|^2} * ( <f1, \frac{dm}{dp}> - \frac{<f1, m1>}{|m1|^2} < m1, \frac{dm}{dp} > ) \]

in which, $ f1 = f - \bar{f} $, $ m1 = m - \bar{m} $ (Note: there should be a minus sign of $ \frac{d}{dp} $ mathematically, which is not in the implementation to match the requirement of the metricv4 optimization framework.

See CorrelationImageToImageMetricv4GetValueAndDerivativeThreader::ProcessPoint for algorithm implementation.

This metric only works with the global transform. It throws an exception if the transform has local support.

Definition at line 73 of file itkCorrelationImageToImageMetricv4.h.

Public Types

typedef SmartPointer< const SelfConstPointer
 
typedef Superclass::DerivativeType DerivativeType
 
typedef
Superclass::FixedImageGradientType 
FixedImageGradientType
 
typedef
Superclass::FixedImagePixelType 
FixedImagePixelType
 
typedef
Superclass::FixedImagePointType 
FixedImagePointType
 
typedef Superclass::JacobianType JacobianType
 
typedef Superclass::MeasureType MeasureType
 
typedef
Superclass::MovingImageGradientType 
MovingImageGradientType
 
typedef
Superclass::MovingImagePixelType 
MovingImagePixelType
 
typedef
Superclass::MovingImagePointType 
MovingImagePointType
 
typedef
Superclass::MovingTransformType 
MovingTransformType
 
typedef SmartPointer< SelfPointer
 
typedef
CorrelationImageToImageMetricv4 
Self
 
typedef ImageToImageMetricv4
< TFixedImage, TMovingImage,
TVirtualImage > 
Superclass
 
typedef
Superclass::VirtualImageType 
VirtualImageType
 
typedef
Superclass::VirtualIndexType 
VirtualIndexType
 
typedef
Superclass::VirtualPointSetType 
VirtualPointSetType
 
typedef
Superclass::VirtualPointType 
VirtualPointType
 
- Public Types inherited from itk::ImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >
typedef SmartPointer< const SelfConstPointer
 
typedef
Superclass::CoordinateRepresentationType 
CoordinateRepresentationType
 
typedef
MetricTraits::DefaultFixedImageGradientCalculator 
DefaultFixedImageGradientCalculator
 
typedef
MetricTraits::DefaultFixedImageGradientFilter 
DefaultFixedImageGradientFilter
 
typedef
MetricTraits::DefaultMovingImageGradientCalculator 
DefaultMovingImageGradientCalculator
 
typedef
MetricTraits::DefaultMovingImageGradientFilter 
DefaultMovingImageGradientFilter
 
typedef Superclass::DerivativeType DerivativeType
 
typedef DerivativeType::ValueType DerivativeValueType
 
typedef Superclass::DimensionType DimensionType
 
typedef
MetricTraits::FixedGradientPixelType 
FixedGradientPixelType
 
typedef CovariantVector
< typename
FixedImageGradientType::ValueType,
FixedImageDimension > 
FixedImageComponentGradientType
 
typedef
FixedImageType::ConstPointer 
FixedImageConstPointer
 
typedef
FixedImageGradientCalculatorType::Pointer 
FixedImageGradientCalculatorPointer
 
typedef
MetricTraits::FixedImageGradientCalculatorType 
FixedImageGradientCalculatorType
 
typedef
FixedImageGradientFilterType::Pointer 
FixedImageGradientFilterPointer
 
typedef
MetricTraits::FixedImageGradientFilterType 
FixedImageGradientFilterType
 
typedef
FixedImageGradientImageType::Pointer 
FixedImageGradientImagePointer
 
typedef
MetricTraits::FixedImageGradientImageType 
FixedImageGradientImageType
 
typedef
MetricTraits::FixedImageGradientType 
FixedImageGradientType
 
typedef FixedImageType::IndexType FixedImageIndexType
 
typedef
FixedImageMaskType::ConstPointer 
FixedImageMaskConstPointer
 
typedef FixedImageMaskType::Pointer FixedImageMaskPointer
 
typedef SpatialObject
< itkGetStaticConstMacro(FixedImageDimension) > 
FixedImageMaskType
 
typedef FixedImageType::PixelType FixedImagePixelType
 
typedef FixedImageType::Pointer FixedImagePointer
 
typedef FixedImageType::PointType FixedImagePointType
 
typedef TFixedImage FixedImageType
 
typedef
Superclass::FixedInputPointType 
FixedInputPointType
 
typedef
FixedInterpolatorType::Pointer 
FixedInterpolatorPointer
 
typedef
InterpolateImageFunction
< FixedImageType,
CoordinateRepresentationType
FixedInterpolatorType
 
typedef
Superclass::FixedOutputPointType 
FixedOutputPointType
 
typedef FixedImagePixelType FixedPixelType
 
typedef MetricTraits::FixedRealType FixedRealType
 
typedef
FixedSampledPointSetType::ConstPointer 
FixedSampledPointSetConstPointer
 
typedef
FixedSampledPointSetType::Pointer 
FixedSampledPointSetPointer
 
typedef PointSet< typename
FixedImageType::PixelType,
itkGetStaticConstMacro(FixedImageDimension)> 
FixedSampledPointSetType
 
typedef NumericTraits
< FixedRealType >
::ScalarRealType 
FixedScalarRealType
 
typedef
Superclass::FixedTransformJacobianType 
FixedTransformJacobianType
 
typedef
Superclass::FixedTransformParametersType 
FixedTransformParametersType
 
typedef
Superclass::FixedTransformPointer 
FixedTransformPointer
 
typedef
Superclass::FixedTransformType 
FixedTransformType
 
typedef
Superclass::GradientSourceType 
GradientSourceType
 
typedef Superclass::DimensionType ImageDimensionType
 
typedef
Superclass::InternalComputationValueType 
InternalComputationValueType
 
typedef Superclass::JacobianType JacobianType
 
typedef Superclass::MeasureType MeasureType
 
typedef
DefaultImageToImageMetricTraitsv4
< TFixedImage, TMovingImage,
TVirtualImage > 
MetricTraits
 
typedef
MetricTraits::MovingGradientPixelType 
MovingGradientPixelType
 
typedef CovariantVector
< typename
MovingImageGradientType::ValueType,
MovingImageDimension > 
MovingImageComponentGradientType
 
typedef
MovingImageType::ConstPointer 
MovingImageConstPointer
 
typedef
MovingImageGradientCalculatorType::Pointer 
MovingImageGradientCalculatorPointer
 
typedef
MetricTraits::MovingImageGradientCalculatorType 
MovingImageGradientCalculatorType
 
typedef
MovingImageGradientFilterType::Pointer 
MovingImageGradientFilterPointer
 
typedef
MetricTraits::MovingImageGradientFilterType 
MovingImageGradientFilterType
 
typedef
MovingImageGradientImageType::Pointer 
MovingImageGradientImagePointer
 
typedef
MetricTraits::MovingImageGradientImageType 
MovingImageGradientImageType
 
typedef
MetricTraits::MovingImageGradientType 
MovingImageGradientType
 
typedef MovingImageType::IndexType MovingImageIndexType
 
typedef
MovingImageMaskType::ConstPointer 
MovingImageMaskConstPointer
 
typedef
MovingImageMaskType::Pointer 
MovingImageMaskPointer
 
typedef SpatialObject
< itkGetStaticConstMacro(MovingImageDimension) > 
MovingImageMaskType
 
typedef MovingImageType::PixelType MovingImagePixelType
 
typedef MovingImageType::Pointer MovingImagePointer
 
typedef MovingImageType::PointType MovingImagePointType
 
typedef MovingImageType::RegionType MovingImageRegionType
 
typedef TMovingImage MovingImageType
 
typedef
Superclass::MovingInputPointType 
MovingInputPointType
 
typedef
MovingInterpolatorType::Pointer 
MovingInterpolatorPointer
 
typedef
InterpolateImageFunction
< MovingImageType,
CoordinateRepresentationType
MovingInterpolatorType
 
typedef
Superclass::MovingOutputPointType 
MovingOutputPointType
 
typedef MovingImagePixelType MovingPixelType
 
typedef
MetricTraits::MovingRealType 
MovingRealType
 
typedef NumericTraits
< MovingRealType >
::ScalarRealType 
MovingScalarRealType
 
typedef
Superclass::MovingTransformJacobianType 
MovingTransformJacobianType
 
typedef
Superclass::MovingTransformParametersType 
MovingTransformParametersType
 
typedef
Superclass::MovingTransformPointer 
MovingTransformPointer
 
typedef
Superclass::MovingTransformType 
MovingTransformType
 
typedef
Superclass::NumberOfParametersType 
NumberOfParametersType
 
typedef Superclass::ParametersType ParametersType
 
typedef
Superclass::ParametersValueType 
ParametersValueType
 
typedef SmartPointer< SelfPointer
 
typedef ImageToImageMetricv4 Self
 
typedef ObjectToObjectMetric
< TFixedImage::ImageDimension,
TMovingImage::ImageDimension,
TVirtualImage > 
Superclass
 
typedef
Superclass::VirtualDirectionType 
VirtualDirectionType
 
typedef CovariantVector
< typename
VirtualImageGradientType::ValueType,
VirtualImageDimension > 
VirtualImageComponentGradientType
 
typedef
MetricTraits::VirtualImageGradientType 
VirtualImageGradientType
 
typedef
Superclass::VirtualImagePointer 
VirtualImagePointer
 
typedef
Superclass::VirtualImageType 
VirtualImageType
 
typedef
Superclass::VirtualIndexType 
VirtualIndexType
 
typedef
Superclass::VirtualPointType 
VirtualOriginType
 
typedef
Superclass::VirtualPixelType 
VirtualPixelType
 
typedef
Superclass::VirtualPointSetPointer 
VirtualPointSetPointer
 
typedef
Superclass::VirtualPointSetType 
VirtualPointSetType
 
typedef
Superclass::VirtualPointType 
VirtualPointType
 
typedef Superclass::VirtualSizeType VirtualRadiusType
 
typedef
Superclass::VirtualRegionType 
VirtualRegionType
 
typedef Superclass::VirtualSizeType VirtualSizeType
 
typedef
Superclass::VirtualSpacingType 
VirtualSpacingType
 
- Public Types inherited from itk::ObjectToObjectMetric< TFixedImage::ImageDimension, TMovingImage::ImageDimension, TVirtualImage >
typedef SmartPointer< const SelfConstPointer
 
typedef
Superclass::ParametersValueType 
CoordinateRepresentationType
 
typedef Superclass::DerivativeType DerivativeType
 
typedef
Superclass::DerivativeValueType 
DerivativeValueType
 
typedef SizeValueType DimensionType
 
typedef
FixedTransformType::InputPointType 
FixedInputPointType
 
typedef
FixedTransformType::OutputPointType 
FixedOutputPointType
 
typedef
FixedTransformType::JacobianType 
FixedTransformJacobianType
 
typedef
FixedTransformType::ParametersType 
FixedTransformParametersType
 
typedef FixedTransformType::Pointer FixedTransformPointer
 
typedef Transform
< ParametersValueType,
TVirtualImage::ImageDimension,
TFixedDimension > 
FixedTransformType
 
typedef
Superclass::InternalComputationValueType 
InternalComputationValueType
 
typedef
FixedTransformType::JacobianType 
JacobianType
 
typedef Superclass::MeasureType MeasureType
 
typedef
DisplacementFieldTransform
< CoordinateRepresentationType,
itkGetStaticConstMacro(MovingDimension) > 
MovingDisplacementFieldTransformType
 
typedef
MovingTransformType::InputPointType 
MovingInputPointType
 
typedef
MovingTransformType::OutputPointType 
MovingOutputPointType
 
typedef
MovingTransformType::JacobianType 
MovingTransformJacobianType
 
typedef
MovingTransformType::ParametersType 
MovingTransformParametersType
 
typedef
MovingTransformType::Pointer 
MovingTransformPointer
 
typedef Transform
< ParametersValueType,
TVirtualImage::ImageDimension,
TMovingDimension > 
MovingTransformType
 
typedef
Superclass::NumberOfParametersType 
NumberOfParametersType
 
typedef Superclass::ParametersType ParametersType
 
typedef
Superclass::ParametersValueType 
ParametersValueType
 
typedef SmartPointer< SelfPointer
 
typedef ObjectToObjectMetric Self
 
typedef ObjectToObjectMetricBase Superclass
 
typedef
VirtualImageType::DirectionType 
VirtualDirectionType
 
typedef
VirtualImageType::ConstPointer 
VirtualImageConstPointer
 
typedef VirtualImageType::Pointer VirtualImagePointer
 
typedef TVirtualImage VirtualImageType
 
typedef VirtualImageType::IndexType VirtualIndexType
 
typedef VirtualImageType::PointType VirtualOriginType
 
typedef VirtualImageType::PixelType VirtualPixelType
 
typedef
VirtualPointSetType::Pointer 
VirtualPointSetPointer
 
typedef PointSet
< VirtualPixelType,
itkGetStaticConstMacro(VirtualDimension)> 
VirtualPointSetType
 
typedef VirtualImageType::PointType VirtualPointType
 
typedef VirtualImageType::SizeType VirtualRadiusType
 
typedef
VirtualImageType::RegionType 
VirtualRegionType
 
typedef VirtualRegionType::SizeType VirtualSizeType
 
typedef
VirtualImageType::SpacingType 
VirtualSpacingType
 
- Public Types inherited from itk::ObjectToObjectMetricBase
typedef SmartPointer< const SelfConstPointer
 
typedef
Superclass::ParametersValueType 
CoordinateRepresentationType
 
typedef Superclass::DerivativeType DerivativeType
 
typedef DerivativeType::ValueType DerivativeValueType
 
enum  GradientSourceType {
  GRADIENT_SOURCE_FIXED =0,
  GRADIENT_SOURCE_MOVING,
  GRADIENT_SOURCE_BOTH
}
 
typedef double InternalComputationValueType
 
typedef Superclass::MeasureType MeasureType
 
typedef unsigned int NumberOfParametersType
 
typedef Superclass::ParametersType ParametersType
 
typedef
Superclass::ParametersValueType 
ParametersValueType
 
typedef SmartPointer< SelfPointer
 
typedef ObjectToObjectMetricBase Self
 
typedef SingleValuedCostFunctionv4 Superclass
 
- Public Types inherited from itk::SingleValuedCostFunctionv4
typedef SmartPointer< const SelfConstPointer
 
typedef Array
< ParametersValueType
DerivativeType
 
typedef double MeasureType
 
typedef Superclass::ParametersType ParametersType
 
typedef
Superclass::ParametersValueType 
ParametersValueType
 
typedef SmartPointer< SelfPointer
 
typedef SingleValuedCostFunctionv4 Self
 
typedef CostFunction Superclass
 
- Public Types inherited from itk::CostFunction
typedef SmartPointer< const SelfConstPointer
 
typedef OptimizerParameters
< ParametersValueType
ParametersType
 
typedef double ParametersValueType
 
typedef SmartPointer< SelfPointer
 
typedef CostFunction Self
 
typedef Object Superclass
 
- Public Types inherited from itk::Object
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef Object Self
 
typedef LightObject Superclass
 
- Public Types inherited from itk::LightObject
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef LightObject Self
 

Public Member Functions

virtual ::itk::LightObject::Pointer CreateAnother (void) const
 
virtual const char * GetNameOfClass () const
 
- Public Member Functions inherited from itk::ImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >
virtual void GetDerivative (DerivativeType &) const
 
virtual const FixedImageTypeGetFixedImage ()
 
virtual const
FixedImageGradientImageType
GetFixedImageGradientImage ()
 
virtual const
FixedInterpolatorType
GetFixedInterpolator ()
 
virtual const MovingImageTypeGetMovingImage ()
 
virtual const
MovingImageGradientImageType
GetMovingImageGradientImage ()
 
virtual const
MovingInterpolatorType
GetMovingInterpolator ()
 
SizeValueType GetNumberOfDomainPoints () const
 
virtual const SizeValueTypeGetNumberOfSkippedFixedSampledPoints ()
 
virtual ThreadIdType GetNumberOfThreadsUsed () const
 
virtual SizeValueType GetNumberOfValidPoints () const
 
virtual MeasureType GetValue () const
 
virtual void GetValueAndDerivative (MeasureType &value, DerivativeType &derivative) const
 
virtual const VirtualPointSetTypeGetVirtualSampledPointSet ()
 
virtual void Initialize (void) throw ( itk::ExceptionObject )
 
virtual void SetFixedImage (const FixedImageType *_arg)
 
virtual void SetFixedInterpolator (FixedInterpolatorType *_arg)
 
virtual void SetMovingImage (const MovingImageType *_arg)
 
virtual void SetMovingInterpolator (MovingInterpolatorType *_arg)
 
virtual bool SupportsArbitraryVirtualDomainSamples (void) const
 
virtual void SetMovingImageMask (MovingImageMaskType *_arg)
 
virtual void SetMovingImageMask (const MovingImageMaskType *_arg)
 
virtual const MovingImageMaskTypeGetMovingImageMask ()
 
virtual void SetFixedImageMask (FixedImageMaskType *_arg)
 
virtual void SetFixedImageMask (const FixedImageMaskType *_arg)
 
virtual const FixedImageMaskTypeGetFixedImageMask ()
 
virtual void SetFixedSampledPointSet (FixedSampledPointSetType *_arg)
 
virtual void SetFixedSampledPointSet (const FixedSampledPointSetType *_arg)
 
virtual const
FixedSampledPointSetType
GetFixedSampledPointSet ()
 
virtual void SetUseFixedSampledPointSet (bool _arg)
 
virtual const bool & GetUseFixedSampledPointSet ()
 
virtual void UseFixedSampledPointSetOn ()
 
virtual void UseFixedSampledPointSetOff ()
 
virtual void SetFixedImageGradientFilter (FixedImageGradientFilterType *_arg)
 
virtual
FixedImageGradientFilterType
GetFixedImageGradientFilter ()
 
virtual void SetMovingImageGradientFilter (MovingImageGradientFilterType *_arg)
 
virtual
MovingImageGradientFilterType
GetMovingImageGradientFilter ()
 
virtual void SetFixedImageGradientCalculator (FixedImageGradientCalculatorType *_arg)
 
virtual
FixedImageGradientCalculatorType
GetFixedImageGradientCalculator ()
 
virtual void SetMovingImageGradientCalculator (MovingImageGradientCalculatorType *_arg)
 
virtual
MovingImageGradientCalculatorType
GetMovingImageGradientCalculator ()
 
virtual void SetUseFixedImageGradientFilter (bool _arg)
 
virtual const bool & GetUseFixedImageGradientFilter ()
 
virtual void UseFixedImageGradientFilterOn ()
 
virtual void UseFixedImageGradientFilterOff ()
 
virtual void SetUseMovingImageGradientFilter (bool _arg)
 
virtual const bool & GetUseMovingImageGradientFilter ()
 
virtual void UseMovingImageGradientFilterOn ()
 
virtual void UseMovingImageGradientFilterOff ()
 
virtual void SetMaximumNumberOfThreads (const ThreadIdType threads)
 
virtual ThreadIdType GetMaximumNumberOfThreads () const
 
virtual void SetUseFloatingPointCorrection (bool _arg)
 
virtual const bool & GetUseFloatingPointCorrection ()
 
virtual void UseFloatingPointCorrectionOn ()
 
virtual void UseFloatingPointCorrectionOff ()
 
virtual void SetFloatingPointCorrectionResolution (DerivativeValueType _arg)
 
virtual DerivativeValueType GetFloatingPointCorrectionResolution () const
 
- Public Member Functions inherited from itk::ObjectToObjectMetric< TFixedImage::ImageDimension, TMovingImage::ImageDimension, TVirtualImage >
OffsetValueType ComputeParameterOffsetFromVirtualIndex (const VirtualIndexType &index, const NumberOfParametersType &numberOfLocalParameters) const
 
OffsetValueType ComputeParameterOffsetFromVirtualPoint (const VirtualPointType &point, const NumberOfParametersType &numberOfLocalParameters) const
 
virtual const FixedTransformTypeGetFixedTransform ()
 
virtual const MovingTransformTypeGetMovingTransform ()
 
virtual NumberOfParametersType GetNumberOfLocalParameters () const
 
virtual NumberOfParametersType GetNumberOfParameters () const
 
virtual const ParametersTypeGetParameters () const
 
const MovingTransformTypeGetTransform ()
 
VirtualDirectionType GetVirtualDirection (void) const
 
virtual const TimeStampGetVirtualDomainTimeStamp (void) const
 
virtual const VirtualImageTypeGetVirtualImage ()
 
VirtualOriginType GetVirtualOrigin (void) const
 
const VirtualRegionTypeGetVirtualRegion (void) const
 
VirtualSpacingType GetVirtualSpacing (void) const
 
virtual bool HasLocalSupport () const
 
virtual void SetFixedTransform (FixedTransformType *_arg)
 
virtual void SetMovingTransform (MovingTransformType *_arg)
 
virtual void SetParameters (ParametersType &params)
 
void SetTransform (MovingTransformType *transform)
 
void SetVirtualDomain (const VirtualSpacingType &spacing, const VirtualOriginType &origin, const VirtualDirectionType &direction, const VirtualRegionType &region)
 
virtual void UpdateTransformParameters (const DerivativeType &derivative, ParametersValueType factor)
 
void SetVirtualDomainFromImage (VirtualImageType *virtualImage)
 
void SetVirtualDomainFromImage (const VirtualImageType *virtualImage)
 
bool IsInsideVirtualDomain (const VirtualPointType &point) const
 
bool IsInsideVirtualDomain (const VirtualIndexType &index) const
 
- Public Member Functions inherited from itk::ObjectToObjectMetricBase
MeasureType GetCurrentValue () const
 
virtual GradientSourceType GetGradientSource () const
 
bool GetGradientSourceIncludesFixed () const
 
bool GetGradientSourceIncludesMoving () const
 
virtual void GetValueAndDerivative (MeasureType &value, DerivativeType &derivative) const =0
 
virtual void SetGradientSource (GradientSourceType _arg)
 
- Public Member Functions inherited from itk::SingleValuedCostFunctionv4
virtual void GetValueAndDerivative (MeasureType &value, DerivativeType &derivative) const =0
 

Static Public Member Functions

static Pointer New ()
 

Static Public Attributes

static const ImageDimensionType FixedImageDimension = TFixedImage::ImageDimension
 
static const ImageDimensionType MovingImageDimension = TMovingImage::ImageDimension
 
static const ImageDimensionType VirtualImageDimension = TVirtualImage::ImageDimension
 
- Static Public Attributes inherited from itk::ImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >
static const DimensionType FixedImageDimension
 
static const DimensionType MovingImageDimension
 
static const DimensionType VirtualImageDimension
 
- Static Public Attributes inherited from itk::ObjectToObjectMetric< TFixedImage::ImageDimension, TMovingImage::ImageDimension, TVirtualImage >
static const DimensionType FixedDimension
 
static const DimensionType MovingDimension
 
static const DimensionType VirtualDimension
 

Protected Types

typedef
CorrelationImageToImageMetricv4GetValueAndDerivativeThreader
< ThreadedImageRegionPartitioner
< Superclass::VirtualImageDimension >
, Superclass, Self
CorrelationDenseGetValueAndDerivativeThreaderType
 
typedef
CorrelationImageToImageMetricv4HelperThreader
< ThreadedImageRegionPartitioner
< Superclass::VirtualImageDimension >
, Superclass, Self
CorrelationHelperDenseThreaderType
 
typedef
CorrelationImageToImageMetricv4HelperThreader
< ThreadedIndexedContainerPartitioner,
Superclass, Self
CorrelationHelperSparseThreaderType
 
typedef
CorrelationImageToImageMetricv4GetValueAndDerivativeThreader
< ThreadedIndexedContainerPartitioner,
Superclass, Self
CorrelationSparseGetValueAndDerivativeThreaderType
 
- Protected Types inherited from itk::ImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >
typedef
LinearInterpolateImageFunction
< FixedImageGradientImageType,
CoordinateRepresentationType
FixedImageGradientInterpolatorType
 
typedef
LinearInterpolateImageFunction
< MovingImageGradientImageType,
CoordinateRepresentationType
MovingImageGradientInterpolatorType
 

Protected Member Functions

 CorrelationImageToImageMetricv4 ()
 
virtual void InitializeForIteration () const
 
void PrintSelf (std::ostream &os, Indent indent) const
 
virtual ~CorrelationImageToImageMetricv4 ()
 
- Protected Member Functions inherited from itk::ImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >
virtual void ComputeFixedImageGradientAtPoint (const FixedImagePointType &mappedPoint, FixedImageGradientType &gradient) const
 
virtual void ComputeFixedImageGradientFilterImage ()
 
virtual void ComputeMovingImageGradientAtPoint (const MovingImagePointType &mappedPoint, MovingImageGradientType &gradient) const
 
virtual void ComputeMovingImageGradientFilterImage () const
 
virtual bool GetComputeDerivative () const
 
virtual void GetValueAndDerivativeExecute () const
 
 ImageToImageMetricv4 ()
 
void PrintSelf (std::ostream &os, Indent indent) const
 
bool TransformAndEvaluateFixedPoint (const VirtualPointType &virtualPoint, FixedImagePointType &mappedFixedPoint, FixedImagePixelType &mappedFixedPixelValue) const
 
bool TransformAndEvaluateMovingPoint (const VirtualPointType &virtualPoint, MovingImagePointType &mappedMovingPoint, MovingImagePixelType &mappedMovingPixelValue) const
 
virtual ~ImageToImageMetricv4 ()
 
virtual void InitializeDefaultFixedImageGradientFilter (void)
 
virtual void InitializeDefaultMovingImageGradientFilter (void)
 
- Protected Member Functions inherited from itk::ObjectToObjectMetric< TFixedImage::ImageDimension, TMovingImage::ImageDimension, TVirtualImage >
MovingDisplacementFieldTransformTypeGetMovingDisplacementFieldTransform () const
 
 ObjectToObjectMetric ()
 
bool TransformPhysicalPointToVirtualIndex (const VirtualPointType &, VirtualIndexType &) const
 
void TransformVirtualIndexToPhysicalPoint (const VirtualIndexType &, VirtualPointType &) const
 
virtual void VerifyDisplacementFieldSizeAndPhysicalSpace ()
 
bool VerifyNumberOfValidPoints (MeasureType &value, DerivativeType &derivative) const
 
virtual ~ObjectToObjectMetric ()
 
- Protected Member Functions inherited from itk::ObjectToObjectMetricBase
 ObjectToObjectMetricBase ()
 
virtual ~ObjectToObjectMetricBase ()
 
- Protected Member Functions inherited from itk::SingleValuedCostFunctionv4
 SingleValuedCostFunctionv4 ()
 
virtual ~SingleValuedCostFunctionv4 ()
 
- Protected Member Functions inherited from itk::CostFunction
 CostFunction ()
 
virtual ~CostFunction ()
 
- Protected Member Functions inherited from itk::Object
 Object ()
 
bool PrintObservers (std::ostream &os, Indent indent) const
 
virtual void SetTimeStamp (const TimeStamp &time)
 
virtual ~Object ()
 
- 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

MeasureType m_AverageFix
 
MeasureType m_AverageMov
 
CorrelationHelperDenseThreaderType::Pointer m_HelperDenseThreader
 
CorrelationHelperSparseThreaderType::Pointer m_HelperSparseThreader
 
- Protected Attributes inherited from itk::ImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >
DefaultFixedImageGradientCalculator::Pointer m_DefaultFixedImageGradientCalculator
 
DefaultFixedImageGradientFilter::Pointer m_DefaultFixedImageGradientFilter
 
DefaultMovingImageGradientCalculator::Pointer m_DefaultMovingImageGradientCalculator
 
DefaultMovingImageGradientFilter::Pointer m_DefaultMovingImageGradientFilter
 
ImageToImageMetricv4GetValueAndDerivativeThreader
< ThreadedImageRegionPartitioner
< VirtualImageDimension >
, Self >::Pointer 
m_DenseGetValueAndDerivativeThreader
 
DerivativeTypem_DerivativeResult
 
FixedImageConstPointer m_FixedImage
 
FixedImageGradientCalculatorPointer m_FixedImageGradientCalculator
 
FixedImageGradientFilterPointer m_FixedImageGradientFilter
 
FixedImageGradientImagePointer m_FixedImageGradientImage
 
FixedImageGradientInterpolatorType::Pointer m_FixedImageGradientInterpolator
 
FixedImageMaskConstPointer m_FixedImageMask
 
FixedInterpolatorPointer m_FixedInterpolator
 
FixedSampledPointSetConstPointer m_FixedSampledPointSet
 
MovingImageConstPointer m_MovingImage
 
MovingImageGradientCalculatorPointer m_MovingImageGradientCalculator
 
MovingImageGradientFilterPointer m_MovingImageGradientFilter
 
MovingImageGradientImagePointer m_MovingImageGradientImage
 
MovingImageGradientInterpolatorType::Pointer m_MovingImageGradientInterpolator
 
MovingImageMaskConstPointer m_MovingImageMask
 
MovingInterpolatorPointer m_MovingInterpolator
 
ImageToImageMetricv4GetValueAndDerivativeThreader
< ThreadedIndexedContainerPartitioner,
Self >::Pointer 
m_SparseGetValueAndDerivativeThreader
 
bool m_UseFixedImageGradientFilter
 
bool m_UseFixedSampledPointSet
 
bool m_UseMovingImageGradientFilter
 
VirtualPointSetPointer m_VirtualSampledPointSet
 
- Protected Attributes inherited from itk::ObjectToObjectMetric< TFixedImage::ImageDimension, TMovingImage::ImageDimension, TVirtualImage >
FixedTransformPointer m_FixedTransform
 
MovingTransformPointer m_MovingTransform
 
SizeValueType m_NumberOfValidPoints
 
bool m_UserHasSetVirtualDomain
 
VirtualImagePointer m_VirtualImage
 
- Protected Attributes inherited from itk::ObjectToObjectMetricBase
GradientSourceType m_GradientSource
 
MeasureType m_Value
 

Private Member Functions

 CorrelationImageToImageMetricv4 (const Self &)
 
void operator= (const Self &)
 

Friends

class CorrelationImageToImageMetricv4GetValueAndDerivativeThreader< ThreadedImageRegionPartitioner< Superclass::VirtualImageDimension >, Superclass, Self >
 
class CorrelationImageToImageMetricv4GetValueAndDerivativeThreader< ThreadedIndexedContainerPartitioner, Superclass, Self >
 
class CorrelationImageToImageMetricv4HelperThreader< ThreadedImageRegionPartitioner< Superclass::VirtualImageDimension >, Superclass, Self >
 
class CorrelationImageToImageMetricv4HelperThreader< ThreadedIndexedContainerPartitioner, Superclass, Self >
 
class ImageToImageMetricv4GetValueAndDerivativeThreader< ThreadedImageRegionPartitioner< Superclass::VirtualImageDimension >, Self >
 
class ImageToImageMetricv4GetValueAndDerivativeThreader< ThreadedIndexedContainerPartitioner, Self >
 
class ImageToImageMetricv4GetValueAndDerivativeThreaderBase< ThreadedImageRegionPartitioner< Superclass::VirtualImageDimension >, Self >
 
class ImageToImageMetricv4GetValueAndDerivativeThreaderBase< ThreadedIndexedContainerPartitioner, Self >
 

Member Typedef Documentation

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef SmartPointer<const Self> itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::ConstPointer

Definition at line 81 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef CorrelationImageToImageMetricv4GetValueAndDerivativeThreader< ThreadedImageRegionPartitioner< Superclass::VirtualImageDimension >, Superclass, Self > itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::CorrelationDenseGetValueAndDerivativeThreaderType
protected

Definition at line 134 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef CorrelationImageToImageMetricv4HelperThreader< ThreadedImageRegionPartitioner< Superclass::VirtualImageDimension >, Superclass, Self > itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::CorrelationHelperDenseThreaderType
protected

Definition at line 142 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef CorrelationImageToImageMetricv4HelperThreader< ThreadedIndexedContainerPartitioner, Superclass, Self > itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::CorrelationHelperSparseThreaderType
protected

Definition at line 144 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef CorrelationImageToImageMetricv4GetValueAndDerivativeThreader< ThreadedIndexedContainerPartitioner, Superclass, Self > itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::CorrelationSparseGetValueAndDerivativeThreaderType
protected

Definition at line 136 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::DerivativeType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::DerivativeType

Definition at line 91 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::FixedImageGradientType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::FixedImageGradientType

Definition at line 95 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::FixedImagePixelType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::FixedImagePixelType

Definition at line 94 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::FixedImagePointType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::FixedImagePointType

Definition at line 93 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::JacobianType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::JacobianType

Definition at line 102 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::MeasureType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::MeasureType

Superclass types

Definition at line 87 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::MovingImageGradientType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::MovingImageGradientType

Definition at line 99 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::MovingImagePixelType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::MovingImagePixelType

Definition at line 98 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::MovingImagePointType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::MovingImagePointType

Definition at line 97 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::MovingTransformType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::MovingTransformType

Definition at line 101 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef SmartPointer<Self> itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::Pointer

Definition at line 80 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef CorrelationImageToImageMetricv4 itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::Self

Standard class typedefs.

Definition at line 78 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef ImageToImageMetricv4<TFixedImage, TMovingImage, TVirtualImage> itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::Superclass

Definition at line 79 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::VirtualImageType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::VirtualImageType

Definition at line 103 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::VirtualIndexType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::VirtualIndexType

Definition at line 104 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::VirtualPointSetType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::VirtualPointSetType

Definition at line 106 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
typedef Superclass::VirtualPointType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::VirtualPointType

Definition at line 105 of file itkCorrelationImageToImageMetricv4.h.

Constructor & Destructor Documentation

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::CorrelationImageToImageMetricv4 ( )
protected
template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
virtual itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::~CorrelationImageToImageMetricv4 ( )
protectedvirtual
template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::CorrelationImageToImageMetricv4 ( const Self )
private

Member Function Documentation

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
virtual::itk::LightObject::Pointer itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::CreateAnother ( void  ) const
virtual

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
virtual const char* itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::GetNameOfClass ( ) const
virtual

Run-time type information (and related methods).

Reimplemented from itk::ImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
virtual void itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::InitializeForIteration ( ) const
protectedvirtual

Perform any initialization required before each evaluation of GetValueAndDerivative. This is distinct from Initialize, which is called only once before a number of iterations, e.g. before a registration loop.

Reimplemented from itk::ImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
static Pointer itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::New ( )
static

Method for creation through the object factory.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
void itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::operator= ( const Self )
private
template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
void itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
protectedvirtual

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::ObjectToObjectMetricBase.

Friends And Related Function Documentation

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
friend class CorrelationImageToImageMetricv4GetValueAndDerivativeThreader< ThreadedImageRegionPartitioner< Superclass::VirtualImageDimension >, Superclass, Self >
friend

Definition at line 131 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
friend class CorrelationImageToImageMetricv4GetValueAndDerivativeThreader< ThreadedIndexedContainerPartitioner, Superclass, Self >
friend

Definition at line 132 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
friend class CorrelationImageToImageMetricv4HelperThreader< ThreadedImageRegionPartitioner< Superclass::VirtualImageDimension >, Superclass, Self >
friend

Definition at line 138 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
friend class CorrelationImageToImageMetricv4HelperThreader< ThreadedIndexedContainerPartitioner, Superclass, Self >
friend

Definition at line 139 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
friend class ImageToImageMetricv4GetValueAndDerivativeThreader< ThreadedImageRegionPartitioner< Superclass::VirtualImageDimension >, Self >
friend

Definition at line 128 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
friend class ImageToImageMetricv4GetValueAndDerivativeThreader< ThreadedIndexedContainerPartitioner, Self >
friend

Definition at line 129 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
friend class ImageToImageMetricv4GetValueAndDerivativeThreaderBase< ThreadedImageRegionPartitioner< Superclass::VirtualImageDimension >, Self >
friend

Definition at line 126 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
friend class ImageToImageMetricv4GetValueAndDerivativeThreaderBase< ThreadedIndexedContainerPartitioner, Self >
friend

Definition at line 127 of file itkCorrelationImageToImageMetricv4.h.

Member Data Documentation

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
const ImageDimensionType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::FixedImageDimension = TFixedImage::ImageDimension
static

Definition at line 112 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
MeasureType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::m_AverageFix
mutableprotected

Definition at line 152 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
MeasureType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::m_AverageMov
mutableprotected

Definition at line 153 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
CorrelationHelperDenseThreaderType::Pointer itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::m_HelperDenseThreader
protected

Definition at line 146 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
CorrelationHelperSparseThreaderType::Pointer itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::m_HelperSparseThreader
protected

Definition at line 147 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
const ImageDimensionType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::MovingImageDimension = TMovingImage::ImageDimension
static

Definition at line 114 of file itkCorrelationImageToImageMetricv4.h.

template<class TFixedImage , class TMovingImage , class TVirtualImage = TFixedImage>
const ImageDimensionType itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage >::VirtualImageDimension = TVirtualImage::ImageDimension
static

Definition at line 110 of file itkCorrelationImageToImageMetricv4.h.


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