template<typename TFixedImage, typename TMovingImage, typename TVirtualImage = TFixedImage, typename TInternalComputationValueType = double, typename TMetricTraits = DefaultImageToImageMetricTraitsv4<TFixedImage,TMovingImage,TVirtualImage,TInternalComputationValueType>>
class itk::CorrelationImageToImageMetricv4< TFixedImage, TMovingImage, TVirtualImage, TInternalComputationValueType, TMetricTraits >
Class implementing normalized cross correlation image metric.
Definition of the normalized cross correlation metric used here:
negative square of normalized cross correlation
in which, f, m are the vectors of image pixel intensities, and are the mean values of f and m. <,> denotes inner product, 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 GetValueAndDerivative will return the value as and the derivative as
in which, , (Note: there should be a minus sign of 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.
- Examples:
- RegistrationITKv4/DeformableRegistration4.cxx.
Definition at line 76 of file itkCorrelationImageToImageMetricv4.h.
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typedef SmartPointer< const Self > | ConstPointer |
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typedef Superclass::DerivativeType | DerivativeType |
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typedef
Superclass::FixedImageGradientType | FixedImageGradientType |
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typedef
Superclass::FixedImagePixelType | FixedImagePixelType |
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typedef
Superclass::FixedImagePointType | FixedImagePointType |
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typedef Superclass::JacobianType | JacobianType |
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typedef Superclass::MeasureType | MeasureType |
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typedef
Superclass::MovingImageGradientType | MovingImageGradientType |
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typedef
Superclass::MovingImagePixelType | MovingImagePixelType |
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typedef
Superclass::MovingImagePointType | MovingImagePointType |
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typedef
Superclass::MovingTransformType | MovingTransformType |
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typedef SmartPointer< Self > | Pointer |
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typedef
CorrelationImageToImageMetricv4 | Self |
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typedef ImageToImageMetricv4
< TFixedImage, TMovingImage,
TVirtualImage,
TInternalComputationValueType,
TMetricTraits > | Superclass |
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typedef
Superclass::VirtualImageType | VirtualImageType |
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typedef
Superclass::VirtualIndexType | VirtualIndexType |
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typedef
Superclass::VirtualPointSetType | VirtualPointSetType |
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typedef
Superclass::VirtualPointType | VirtualPointType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef
Superclass::CoordinateRepresentationType | CoordinateRepresentationType |
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typedef
MetricTraits::DefaultFixedImageGradientCalculator | DefaultFixedImageGradientCalculator |
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typedef
MetricTraits::DefaultFixedImageGradientFilter | DefaultFixedImageGradientFilter |
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typedef
MetricTraits::DefaultMovingImageGradientCalculator | DefaultMovingImageGradientCalculator |
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typedef
MetricTraits::DefaultMovingImageGradientFilter | DefaultMovingImageGradientFilter |
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typedef Superclass::DerivativeType | DerivativeType |
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typedef DerivativeType::ValueType | DerivativeValueType |
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typedef Superclass::DimensionType | DimensionType |
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typedef
MetricTraits::FixedGradientPixelType | FixedGradientPixelType |
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typedef CovariantVector
< typename
FixedImageGradientType::ValueType,
FixedImageDimension > | FixedImageComponentGradientType |
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typedef
FixedImageType::ConstPointer | FixedImageConstPointer |
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typedef
FixedImageGradientCalculatorType::Pointer | FixedImageGradientCalculatorPointer |
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typedef
MetricTraits::FixedImageGradientCalculatorType | FixedImageGradientCalculatorType |
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typedef
FixedImageGradientFilterType::Pointer | FixedImageGradientFilterPointer |
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typedef
MetricTraits::FixedImageGradientFilterType | FixedImageGradientFilterType |
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typedef
FixedImageGradientImageType::Pointer | FixedImageGradientImagePointer |
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typedef
MetricTraits::FixedImageGradientImageType | FixedImageGradientImageType |
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typedef
MetricTraits::FixedImageGradientType | FixedImageGradientType |
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typedef FixedImageType::IndexType | FixedImageIndexType |
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typedef
FixedImageMaskType::ConstPointer | FixedImageMaskConstPointer |
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typedef FixedImageMaskType::Pointer | FixedImageMaskPointer |
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typedef SpatialObject
< itkGetStaticConstMacro(FixedImageDimension) > | FixedImageMaskType |
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typedef FixedImageType::PixelType | FixedImagePixelType |
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typedef FixedImageType::Pointer | FixedImagePointer |
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typedef FixedImageType::PointType | FixedImagePointType |
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typedef TFixedImage | FixedImageType |
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typedef
Superclass::FixedInputPointType | FixedInputPointType |
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typedef
FixedInterpolatorType::Pointer | FixedInterpolatorPointer |
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typedef
InterpolateImageFunction
< FixedImageType,
CoordinateRepresentationType > | FixedInterpolatorType |
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typedef
Superclass::FixedOutputPointType | FixedOutputPointType |
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typedef FixedImagePixelType | FixedPixelType |
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typedef MetricTraits::FixedRealType | FixedRealType |
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typedef
FixedSampledPointSetType::ConstPointer | FixedSampledPointSetConstPointer |
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typedef
FixedSampledPointSetType::Pointer | FixedSampledPointSetPointer |
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typedef PointSet< typename
FixedImageType::PixelType,
itkGetStaticConstMacro(FixedImageDimension)> | FixedSampledPointSetType |
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typedef NumericTraits
< FixedRealType >
::ScalarRealType | FixedScalarRealType |
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typedef
Superclass::FixedTransformJacobianType | FixedTransformJacobianType |
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typedef
Superclass::FixedTransformParametersType | FixedTransformParametersType |
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typedef
Superclass::FixedTransformPointer | FixedTransformPointer |
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typedef
Superclass::FixedTransformType | FixedTransformType |
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typedef
Superclass::GradientSourceType | GradientSourceType |
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typedef Superclass::DimensionType | ImageDimensionType |
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typedef
TInternalComputationValueType | InternalComputationValueType |
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typedef Superclass::JacobianType | JacobianType |
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typedef Superclass::MeasureType | MeasureType |
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typedef TMetricTraits | MetricTraits |
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typedef
MetricTraits::MovingGradientPixelType | MovingGradientPixelType |
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typedef CovariantVector
< typename
MovingImageGradientType::ValueType,
MovingImageDimension > | MovingImageComponentGradientType |
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typedef
MovingImageType::ConstPointer | MovingImageConstPointer |
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typedef
MovingImageGradientCalculatorType::Pointer | MovingImageGradientCalculatorPointer |
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typedef
MetricTraits::MovingImageGradientCalculatorType | MovingImageGradientCalculatorType |
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typedef
MovingImageGradientFilterType::Pointer | MovingImageGradientFilterPointer |
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typedef
MetricTraits::MovingImageGradientFilterType | MovingImageGradientFilterType |
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typedef
MovingImageGradientImageType::Pointer | MovingImageGradientImagePointer |
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typedef
MetricTraits::MovingImageGradientImageType | MovingImageGradientImageType |
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typedef
MetricTraits::MovingImageGradientType | MovingImageGradientType |
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typedef MovingImageType::IndexType | MovingImageIndexType |
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typedef
MovingImageMaskType::ConstPointer | MovingImageMaskConstPointer |
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typedef
MovingImageMaskType::Pointer | MovingImageMaskPointer |
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typedef SpatialObject
< itkGetStaticConstMacro(MovingImageDimension) > | MovingImageMaskType |
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typedef MovingImageType::PixelType | MovingImagePixelType |
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typedef MovingImageType::Pointer | MovingImagePointer |
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typedef MovingImageType::PointType | MovingImagePointType |
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typedef MovingImageType::RegionType | MovingImageRegionType |
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typedef TMovingImage | MovingImageType |
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typedef
Superclass::MovingInputPointType | MovingInputPointType |
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typedef
MovingInterpolatorType::Pointer | MovingInterpolatorPointer |
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typedef
InterpolateImageFunction
< MovingImageType,
CoordinateRepresentationType > | MovingInterpolatorType |
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typedef
Superclass::MovingOutputPointType | MovingOutputPointType |
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typedef MovingImagePixelType | MovingPixelType |
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typedef
MetricTraits::MovingRealType | MovingRealType |
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typedef NumericTraits
< MovingRealType >
::ScalarRealType | MovingScalarRealType |
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typedef
Superclass::MovingTransformJacobianType | MovingTransformJacobianType |
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typedef
Superclass::MovingTransformParametersType | MovingTransformParametersType |
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typedef
Superclass::MovingTransformPointer | MovingTransformPointer |
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typedef
Superclass::MovingTransformType | MovingTransformType |
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typedef
Superclass::NumberOfParametersType | NumberOfParametersType |
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typedef Superclass::ParametersType | ParametersType |
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typedef
Superclass::ParametersValueType | ParametersValueType |
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typedef SmartPointer< Self > | Pointer |
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typedef ImageToImageMetricv4 | Self |
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typedef ObjectToObjectMetric
< TFixedImage::ImageDimension,
TMovingImage::ImageDimension,
TVirtualImage,
TInternalComputationValueType > | Superclass |
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typedef
Superclass::VirtualDirectionType | VirtualDirectionType |
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typedef CovariantVector
< typename
VirtualImageGradientType::ValueType,
VirtualImageDimension > | VirtualImageComponentGradientType |
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typedef
MetricTraits::VirtualImageGradientType | VirtualImageGradientType |
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typedef
Superclass::VirtualImagePointer | VirtualImagePointer |
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typedef
Superclass::VirtualImageType | VirtualImageType |
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typedef
Superclass::VirtualIndexType | VirtualIndexType |
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typedef
Superclass::VirtualPointType | VirtualOriginType |
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typedef
Superclass::VirtualPixelType | VirtualPixelType |
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typedef
Superclass::VirtualPointSetPointer | VirtualPointSetPointer |
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typedef
Superclass::VirtualPointSetType | VirtualPointSetType |
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typedef
Superclass::VirtualPointType | VirtualPointType |
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typedef Superclass::VirtualSizeType | VirtualRadiusType |
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typedef
Superclass::VirtualRegionType | VirtualRegionType |
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typedef Superclass::VirtualSizeType | VirtualSizeType |
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typedef
Superclass::VirtualSpacingType | VirtualSpacingType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef
TInternalComputationValueType | CoordinateRepresentationType |
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typedef Superclass::DerivativeType | DerivativeType |
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typedef
Superclass::DerivativeValueType | DerivativeValueType |
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typedef SizeValueType | DimensionType |
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typedef
FixedTransformType::InputPointType | FixedInputPointType |
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typedef
FixedTransformType::OutputPointType | FixedOutputPointType |
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typedef
FixedTransformType::JacobianType | FixedTransformJacobianType |
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typedef
FixedTransformType::ParametersType | FixedTransformParametersType |
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typedef FixedTransformType::Pointer | FixedTransformPointer |
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typedef Transform
< TInternalComputationValueType,
TVirtualImage::ImageDimension,
TFixedDimension > | FixedTransformType |
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typedef
Superclass::GradientSourceType | GradientSourceType |
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typedef
TInternalComputationValueType | InternalComputationValueType |
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typedef
FixedTransformType::JacobianType | JacobianType |
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typedef Superclass::MeasureType | MeasureType |
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typedef
DisplacementFieldTransform
< CoordinateRepresentationType,
itkGetStaticConstMacro(MovingDimension) > | MovingDisplacementFieldTransformType |
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typedef
MovingTransformType::InputPointType | MovingInputPointType |
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typedef
MovingTransformType::OutputPointType | MovingOutputPointType |
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typedef
MovingTransformType::JacobianType | MovingTransformJacobianType |
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typedef
MovingTransformType::ParametersType | MovingTransformParametersType |
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typedef
MovingTransformType::Pointer | MovingTransformPointer |
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typedef Transform
< TInternalComputationValueType,
TVirtualImage::ImageDimension,
TMovingDimension > | MovingTransformType |
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typedef
Superclass::NumberOfParametersType | NumberOfParametersType |
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typedef Superclass::ParametersType | ParametersType |
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typedef SmartPointer< Self > | Pointer |
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typedef ObjectToObjectMetric | Self |
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typedef
ObjectToObjectMetricBaseTemplate
< TInternalComputationValueType > | Superclass |
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typedef
VirtualImageType::DirectionType | VirtualDirectionType |
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typedef
VirtualImageType::ConstPointer | VirtualImageConstPointer |
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typedef VirtualImageType::Pointer | VirtualImagePointer |
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typedef TVirtualImage | VirtualImageType |
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typedef VirtualImageType::IndexType | VirtualIndexType |
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typedef VirtualImageType::PointType | VirtualOriginType |
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typedef VirtualImageType::PixelType | VirtualPixelType |
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typedef
VirtualPointSetType::Pointer | VirtualPointSetPointer |
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typedef PointSet
< VirtualPixelType,
itkGetStaticConstMacro(VirtualDimension)> | VirtualPointSetType |
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typedef VirtualImageType::PointType | VirtualPointType |
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typedef VirtualImageType::SizeType | VirtualRadiusType |
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typedef
VirtualImageType::RegionType | VirtualRegionType |
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typedef VirtualRegionType::SizeType | VirtualSizeType |
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typedef
VirtualImageType::SpacingType | VirtualSpacingType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef
TInternalComputationValueType | CoordinateRepresentationType |
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typedef Superclass::DerivativeType | DerivativeType |
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typedef DerivativeType::ValueType | DerivativeValueType |
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enum | GradientSourceType {
GRADIENT_SOURCE_FIXED =0,
GRADIENT_SOURCE_MOVING,
GRADIENT_SOURCE_BOTH
} |
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typedef Superclass::MeasureType | MeasureType |
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typedef unsigned int | NumberOfParametersType |
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typedef Superclass::ParametersType | ParametersType |
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typedef
TInternalComputationValueType | ParametersValueType |
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typedef SmartPointer< Self > | Pointer |
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typedef
ObjectToObjectMetricBaseTemplate | Self |
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typedef
SingleValuedCostFunctionv4Template
< TInternalComputationValueType > | Superclass |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef Array
< TInternalComputationValueType > | DerivativeType |
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typedef
TInternalComputationValueType | MeasureType |
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typedef Superclass::ParametersType | ParametersType |
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typedef SmartPointer< Self > | Pointer |
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typedef
SingleValuedCostFunctionv4Template | Self |
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typedef CostFunctionTemplate
< TInternalComputationValueType > | Superclass |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef OptimizerParameters
< TInternalComputationValueType > | ParametersType |
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typedef
TInternalComputationValueType | ParametersValueType |
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typedef SmartPointer< Self > | Pointer |
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typedef CostFunctionTemplate | Self |
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typedef Object | Superclass |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef SmartPointer< Self > | Pointer |
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typedef Object | Self |
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typedef LightObject | Superclass |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef SmartPointer< Self > | Pointer |
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typedef LightObject | Self |
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virtual ::itk::LightObject::Pointer | CreateAnother (void) const |
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virtual const char * | GetNameOfClass () const |
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virtual void | GetDerivative (DerivativeType &) const |
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virtual const FixedImageType * | GetFixedImage () const |
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virtual const
FixedImageGradientImageType * | GetFixedImageGradientImage () const |
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virtual const
FixedInterpolatorType * | GetFixedInterpolator () const |
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virtual
FixedImageGradientImageType * | GetModifiableFixedImageGradientImage () |
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virtual FixedInterpolatorType * | GetModifiableFixedInterpolator () |
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virtual
MovingImageGradientImageType * | GetModifiableMovingImageGradientImage () |
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virtual MovingInterpolatorType * | GetModifiableMovingInterpolator () |
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virtual VirtualPointSetType * | GetModifiableVirtualSampledPointSet () |
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virtual const
MovingImageGradientImageType * | GetMovingImageGradientImage () const |
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virtual const
MovingInterpolatorType * | GetMovingInterpolator () const |
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SizeValueType | GetNumberOfDomainPoints () const |
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virtual const SizeValueType & | GetNumberOfSkippedFixedSampledPoints () const |
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virtual ThreadIdType | GetNumberOfThreadsUsed () const |
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virtual SizeValueType | GetNumberOfValidPoints () const |
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virtual MeasureType | GetValue () const |
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virtual void | GetValueAndDerivative (MeasureType &value, DerivativeType &derivative) const |
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virtual const VirtualPointSetType * | GetVirtualSampledPointSet () const |
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virtual void | Initialize (void) throw ( itk::ExceptionObject ) |
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virtual void | SetFixedImage (const FixedImageType *_arg) |
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virtual void | SetFixedInterpolator (FixedInterpolatorType *_arg) |
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virtual void | SetMovingInterpolator (MovingInterpolatorType *_arg) |
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virtual bool | SupportsArbitraryVirtualDomainSamples (void) const |
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virtual void | SetMovingImage (const MovingImageType *_arg) |
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virtual const MovingImageType * | GetMovingImage () const |
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virtual void | SetMovingImageMask (MovingImageMaskType *_arg) |
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virtual void | SetMovingImageMask (const MovingImageMaskType *_arg) |
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virtual const MovingImageMaskType * | GetMovingImageMask () const |
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virtual void | SetFixedImageMask (FixedImageMaskType *_arg) |
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virtual void | SetFixedImageMask (const FixedImageMaskType *_arg) |
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virtual const FixedImageMaskType * | GetFixedImageMask () const |
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virtual void | SetFixedSampledPointSet (FixedSampledPointSetType *_arg) |
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virtual void | SetFixedSampledPointSet (const FixedSampledPointSetType *_arg) |
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virtual const
FixedSampledPointSetType * | GetFixedSampledPointSet () const |
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virtual void | SetUseFixedSampledPointSet (bool _arg) |
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virtual const bool & | GetUseFixedSampledPointSet () const |
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virtual void | UseFixedSampledPointSetOn () |
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virtual void | UseFixedSampledPointSetOff () |
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virtual void | SetFixedImageGradientFilter (FixedImageGradientFilterType *_arg) |
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virtual
FixedImageGradientFilterType * | GetModifiableFixedImageGradientFilter () |
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virtual const
FixedImageGradientFilterType * | GetFixedImageGradientFilter () const |
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virtual void | SetMovingImageGradientFilter (MovingImageGradientFilterType *_arg) |
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virtual
MovingImageGradientFilterType * | GetModifiableMovingImageGradientFilter () |
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virtual const
MovingImageGradientFilterType * | GetMovingImageGradientFilter () const |
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virtual void | SetFixedImageGradientCalculator (FixedImageGradientCalculatorType *_arg) |
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virtual
FixedImageGradientCalculatorType * | GetModifiableFixedImageGradientCalculator () |
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virtual const
FixedImageGradientCalculatorType * | GetFixedImageGradientCalculator () const |
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virtual void | SetMovingImageGradientCalculator (MovingImageGradientCalculatorType *_arg) |
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virtual
MovingImageGradientCalculatorType * | GetModifiableMovingImageGradientCalculator () |
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virtual const
MovingImageGradientCalculatorType * | GetMovingImageGradientCalculator () const |
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virtual void | SetUseFixedImageGradientFilter (bool _arg) |
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virtual const bool & | GetUseFixedImageGradientFilter () const |
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virtual void | UseFixedImageGradientFilterOn () |
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virtual void | UseFixedImageGradientFilterOff () |
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virtual void | SetUseMovingImageGradientFilter (bool _arg) |
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virtual const bool & | GetUseMovingImageGradientFilter () const |
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virtual void | UseMovingImageGradientFilterOn () |
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virtual void | UseMovingImageGradientFilterOff () |
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virtual void | SetMaximumNumberOfThreads (const ThreadIdType threads) |
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virtual ThreadIdType | GetMaximumNumberOfThreads () const |
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virtual void | SetUseFloatingPointCorrection (bool _arg) |
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virtual const bool & | GetUseFloatingPointCorrection () const |
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virtual void | UseFloatingPointCorrectionOn () |
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virtual void | UseFloatingPointCorrectionOff () |
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virtual void | SetFloatingPointCorrectionResolution (DerivativeValueType _arg) |
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virtual DerivativeValueType | GetFloatingPointCorrectionResolution () const |
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OffsetValueType | ComputeParameterOffsetFromVirtualIndex (const VirtualIndexType &index, const NumberOfParametersType &numberOfLocalParameters) const |
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OffsetValueType | ComputeParameterOffsetFromVirtualPoint (const VirtualPointType &point, const NumberOfParametersType &numberOfLocalParameters) const |
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virtual const FixedTransformType * | GetFixedTransform () const |
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virtual FixedTransformType * | GetModifiableFixedTransform () |
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virtual MovingTransformType * | GetModifiableMovingTransform () |
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virtual VirtualImageType * | GetModifiableVirtualImage () |
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virtual const MovingTransformType * | GetMovingTransform () const |
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virtual NumberOfParametersType | GetNumberOfLocalParameters () const |
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virtual NumberOfParametersType | GetNumberOfParameters () const |
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virtual const ParametersType & | GetParameters () const |
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const MovingTransformType * | GetTransform () |
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VirtualDirectionType | GetVirtualDirection (void) const |
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virtual const TimeStamp & | GetVirtualDomainTimeStamp (void) const |
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virtual const VirtualImageType * | GetVirtualImage () const |
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VirtualOriginType | GetVirtualOrigin (void) const |
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const VirtualRegionType & | GetVirtualRegion (void) const |
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VirtualSpacingType | GetVirtualSpacing (void) const |
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virtual bool | HasLocalSupport () const |
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virtual void | SetFixedTransform (FixedTransformType *_arg) |
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virtual void | SetMovingTransform (MovingTransformType *_arg) |
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virtual void | SetParameters (ParametersType ¶ms) |
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void | SetTransform (MovingTransformType *transform) |
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void | SetVirtualDomain (const VirtualSpacingType &spacing, const VirtualOriginType &origin, const VirtualDirectionType &direction, const VirtualRegionType ®ion) |
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virtual void | UpdateTransformParameters (const DerivativeType &derivative, TInternalComputationValueType factor) |
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void | SetVirtualDomainFromImage (VirtualImageType *virtualImage) |
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void | SetVirtualDomainFromImage (const VirtualImageType *virtualImage) |
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bool | IsInsideVirtualDomain (const VirtualPointType &point) const |
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bool | IsInsideVirtualDomain (const VirtualIndexType &index) const |
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MeasureType | GetCurrentValue () const |
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virtual GradientSourceType | GetGradientSource () const |
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bool | GetGradientSourceIncludesFixed () const |
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bool | GetGradientSourceIncludesMoving () const |
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virtual void | GetValueAndDerivative (MeasureType &value, DerivativeType &derivative) const =0 |
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virtual void | SetGradientSource (GradientSourceType _arg) |
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virtual void | GetValueAndDerivative (MeasureType &value, DerivativeType &derivative) const =0 |
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unsigned long | AddObserver (const EventObject &event, Command *) |
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unsigned long | AddObserver (const EventObject &event, Command *) const |
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virtual void | DebugOff () const |
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virtual void | DebugOn () const |
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Command * | GetCommand (unsigned long tag) |
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bool | GetDebug () const |
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MetaDataDictionary & | GetMetaDataDictionary (void) |
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const MetaDataDictionary & | GetMetaDataDictionary (void) const |
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virtual ModifiedTimeType | GetMTime () const |
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virtual const TimeStamp & | GetTimeStamp () const |
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bool | HasObserver (const EventObject &event) const |
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void | InvokeEvent (const EventObject &) |
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void | InvokeEvent (const EventObject &) const |
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virtual void | Modified () const |
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virtual void | Register () const ITK_OVERRIDE |
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void | RemoveAllObservers () |
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void | RemoveObserver (unsigned long tag) |
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void | SetDebug (bool debugFlag) const |
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void | SetMetaDataDictionary (const MetaDataDictionary &rhs) |
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virtual void | SetReferenceCount (int) ITK_OVERRIDE |
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virtual void | UnRegister () const ITK_OVERRIDE |
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virtual void | SetObjectName (std::string _arg) |
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virtual const std::string & | GetObjectName () const |
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virtual void | Delete () |
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virtual int | GetReferenceCount () const |
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| itkCloneMacro (Self) |
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void | Print (std::ostream &os, Indent indent=0) const |
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