template<class TFixedImage, class
TScalarType>
class itk::TransformBendingEnergyPenaltyTerm< TFixedImage, TScalarType >
A cost function that calculates the bending energy of a transformation.
The bending energy is defined as the sum of the spatial second order derivatives of the transformation, as defined in [1]. For rigid and affine transformation this energy is always zero.
[1]: D. Rueckert, L. I. Sonoda, C. Hayes, D. L. G. Hill, M. O. Leach, and D. J. Hawkes, "Nonrigid registration
using free-form deformations: Application to breast MR
images", IEEE Trans. Med. Imaging 18, 712-721, 1999.
[2]: M. Staring and S. Klein, "Itk::Transforms supporting spatial derivatives"", Insight Journal, http://hdl.handle.net/10380/3215.
Definition at line 50 of file itkTransformBendingEnergyPenaltyTerm.h.
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typedef Superclass::BSplineOrder1TransformPointer | BSplineOrder1TransformPointer |
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typedef Superclass::BSplineOrder1TransformType | BSplineOrder1TransformType |
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typedef Superclass::BSplineOrder2TransformPointer | BSplineOrder2TransformPointer |
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typedef Superclass::BSplineOrder2TransformType | BSplineOrder2TransformType |
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typedef Superclass::BSplineOrder3TransformPointer | BSplineOrder3TransformPointer |
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typedef Superclass::BSplineOrder3TransformType | BSplineOrder3TransformType |
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typedef Superclass::CombinationTransformType | CombinationTransformType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef Superclass::CoordinateRepresentationType | CoordinateRepresentationType |
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typedef Superclass::DerivativeType | DerivativeType |
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typedef Superclass::DerivativeValueType | DerivativeValueType |
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typedef Superclass::FixedImageConstPointer | FixedImageConstPointer |
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typedef Superclass::FixedImageMaskPointer | FixedImageMaskPointer |
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typedef Superclass::FixedImageMaskType | FixedImageMaskType |
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typedef Superclass::FixedImagePixelType | FixedImagePixelType |
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typedef Superclass::FixedImagePointer | FixedImagePointer |
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typedef Superclass::FixedImageRegionType | FixedImageRegionType |
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typedef Superclass::FixedImageType | FixedImageType |
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typedef Superclass::GradientImageFilterPointer | GradientImageFilterPointer |
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typedef Superclass::GradientImageFilterType | GradientImageFilterType |
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typedef Superclass::GradientImagePointer | GradientImagePointer |
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typedef Superclass::GradientImageType | GradientImageType |
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typedef Superclass::GradientPixelType | GradientPixelType |
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typedef Superclass::HessianType | HessianType |
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typedef Superclass::HessianValueType | HessianValueType |
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typedef Superclass::ImageSampleContainerPointer | ImageSampleContainerPointer |
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typedef Superclass::ImageSampleContainerType | ImageSampleContainerType |
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typedef Superclass::InputPointType | InputPointType |
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typedef Superclass::InternalMatrixType | InternalMatrixType |
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typedef Superclass::InterpolatorPointer | InterpolatorPointer |
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typedef Superclass::InterpolatorType | InterpolatorType |
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typedef Superclass::JacobianOfSpatialHessianType | JacobianOfSpatialHessianType |
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typedef Superclass::JacobianOfSpatialJacobianType | JacobianOfSpatialJacobianType |
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typedef Superclass::MeasureType | MeasureType |
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typedef Superclass::MovingImageConstPointer | MovingImageConstPointer |
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typedef Superclass::MovingImageMaskPointer | MovingImageMaskPointer |
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typedef Superclass::MovingImageMaskType | MovingImageMaskType |
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typedef Superclass::MovingImagePixelType | MovingImagePixelType |
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typedef Superclass::MovingImagePointer | MovingImagePointer |
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typedef Superclass::MovingImageType | MovingImageType |
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typedef Superclass::NumberOfParametersType | NumberOfParametersType |
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typedef Superclass::OutputPointType | OutputPointType |
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typedef Superclass::ParametersType | ParametersType |
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typedef SmartPointer< Self > | Pointer |
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typedef Superclass::RealType | RealType |
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typedef Superclass::ScalarType | ScalarType |
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typedef TransformBendingEnergyPenaltyTerm | Self |
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typedef Superclass::SpatialHessianType | SpatialHessianType |
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typedef Superclass::SpatialJacobianType | SpatialJacobianType |
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typedef TransformPenaltyTerm< TFixedImage, TScalarType > | Superclass |
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typedef Superclass::ThreaderType | ThreaderType |
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typedef Superclass::ThreadInfoType | ThreadInfoType |
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typedef Superclass::TransformJacobianType | TransformJacobianType |
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typedef Superclass::TransformParametersType | TransformParametersType |
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typedef Superclass::TransformPointer | TransformPointer |
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typedef Superclass::TransformType | TransformType |
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typedef Superclass::BSplineOrder1TransformPointer | BSplineOrder1TransformPointer |
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typedef Superclass::BSplineOrder1TransformType | BSplineOrder1TransformType |
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typedef Superclass::BSplineOrder2TransformPointer | BSplineOrder2TransformPointer |
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typedef Superclass::BSplineOrder2TransformType | BSplineOrder2TransformType |
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typedef Superclass::BSplineOrder3TransformPointer | BSplineOrder3TransformPointer |
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typedef Superclass::BSplineOrder3TransformType | BSplineOrder3TransformType |
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typedef Superclass::CombinationTransformType | CombinationTransformType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef Superclass::CoordinateRepresentationType | CoordinateRepresentationType |
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typedef Superclass::DerivativeType | DerivativeType |
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typedef Superclass::DerivativeValueType | DerivativeValueType |
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typedef Superclass::FixedImageConstPointer | FixedImageConstPointer |
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typedef Superclass::FixedImageMaskPointer | FixedImageMaskPointer |
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typedef Superclass::FixedImageMaskType | FixedImageMaskType |
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typedef Superclass::FixedImagePixelType | FixedImagePixelType |
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typedef Superclass::FixedImagePointer | FixedImagePointer |
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typedef Superclass::FixedImageRegionType | FixedImageRegionType |
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typedef Superclass::FixedImageType | FixedImageType |
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typedef Superclass::GradientImageFilterPointer | GradientImageFilterPointer |
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typedef Superclass::GradientImageFilterType | GradientImageFilterType |
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typedef Superclass::GradientImagePointer | GradientImagePointer |
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typedef Superclass::GradientImageType | GradientImageType |
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typedef Superclass::GradientPixelType | GradientPixelType |
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typedef Superclass::ImageSampleContainerPointer | ImageSampleContainerPointer |
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typedef Superclass::ImageSampleContainerType | ImageSampleContainerType |
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typedef Superclass::InputPointType | InputPointType |
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typedef TransformType::InternalMatrixType | InternalMatrixType |
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typedef Superclass::InterpolatorPointer | InterpolatorPointer |
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typedef Superclass::InterpolatorType | InterpolatorType |
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typedef TransformType::JacobianOfSpatialHessianType | JacobianOfSpatialHessianType |
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typedef TransformType::JacobianOfSpatialJacobianType | JacobianOfSpatialJacobianType |
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typedef Superclass::MeasureType | MeasureType |
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typedef Superclass::MovingImageConstPointer | MovingImageConstPointer |
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typedef Superclass::MovingImageMaskPointer | MovingImageMaskPointer |
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typedef Superclass::MovingImageMaskType | MovingImageMaskType |
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typedef Superclass::MovingImagePixelType | MovingImagePixelType |
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typedef Superclass::MovingImagePointer | MovingImagePointer |
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typedef Superclass::MovingImageType | MovingImageType |
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typedef Superclass::OutputPointType | OutputPointType |
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typedef Superclass::ParametersType | ParametersType |
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typedef SmartPointer< Self > | Pointer |
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typedef Superclass::RealType | RealType |
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typedef TScalarType | ScalarType |
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typedef TransformPenaltyTerm | Self |
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typedef TransformType::SpatialHessianType | SpatialHessianType |
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typedef TransformType::SpatialJacobianType | SpatialJacobianType |
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typedef AdvancedImageToImageMetric< TFixedImage, TFixedImage > | Superclass |
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typedef Superclass::ThreaderType | ThreaderType |
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typedef Superclass::ThreadInfoType | ThreadInfoType |
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typedef Superclass::TransformJacobianType | TransformJacobianType |
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typedef Superclass::TransformParametersType | TransformParametersType |
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typedef Superclass::AdvancedTransformType | TransformType |
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typedef AdvancedTransform< ScalarType, FixedImageDimension, MovingImageDimension > | AdvancedTransformType |
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typedef BSplineOrder1TransformType::Pointer | BSplineOrder1TransformPointer |
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typedef AdvancedBSplineDeformableTransform< ScalarType, FixedImageDimension, 1 > | BSplineOrder1TransformType |
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typedef BSplineOrder2TransformType::Pointer | BSplineOrder2TransformPointer |
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typedef AdvancedBSplineDeformableTransform< ScalarType, FixedImageDimension, 2 > | BSplineOrder2TransformType |
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typedef BSplineOrder3TransformType::Pointer | BSplineOrder3TransformPointer |
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typedef AdvancedBSplineDeformableTransform< ScalarType, FixedImageDimension, 3 > | BSplineOrder3TransformType |
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typedef AdvancedCombinationTransform< ScalarType, FixedImageDimension > | CombinationTransformType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef Superclass::CoordinateRepresentationType | CoordinateRepresentationType |
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typedef Superclass::DerivativeType | DerivativeType |
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typedef DerivativeType::ValueType | DerivativeValueType |
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typedef Superclass::FixedImageConstPointer | FixedImageConstPointer |
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typedef FixedImageLimiterType::OutputType | FixedImageLimiterOutputType |
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typedef FixedImageLimiterType::Pointer | FixedImageLimiterPointer |
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typedef LimiterFunctionBase< RealType, FixedImageDimension > | FixedImageLimiterType |
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typedef Superclass::FixedImageMaskPointer | FixedImageMaskPointer |
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typedef ImageMaskSpatialObject< itkGetStaticConstMacro(FixedImageDimension) > | FixedImageMaskSpatialObject2Type |
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typedef Superclass::FixedImageMaskType | FixedImageMaskType |
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typedef FixedImageType::PixelType | FixedImagePixelType |
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typedef FixedImageType::Pointer | FixedImagePointer |
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typedef Superclass::FixedImageRegionType | FixedImageRegionType |
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typedef Superclass::FixedImageType | FixedImageType |
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typedef Superclass::GradientImageFilterPointer | GradientImageFilterPointer |
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typedef Superclass::GradientImageFilterType | GradientImageFilterType |
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typedef Superclass::GradientImagePointer | GradientImagePointer |
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typedef Superclass::GradientImageType | GradientImageType |
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typedef Superclass::GradientPixelType | GradientPixelType |
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typedef vnl_sparse_matrix< HessianValueType > | HessianType |
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typedef DerivativeType::ValueType | HessianValueType |
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typedef ImageSamplerType::OutputVectorContainerPointer | ImageSampleContainerPointer |
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typedef ImageSamplerType::OutputVectorContainerType | ImageSampleContainerType |
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typedef ImageSamplerType::Pointer | ImageSamplerPointer |
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typedef ImageSamplerBase< FixedImageType > | ImageSamplerType |
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typedef Superclass::InputPointType | InputPointType |
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typedef Superclass::InterpolatorPointer | InterpolatorPointer |
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typedef Superclass::InterpolatorType | InterpolatorType |
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typedef Superclass::MeasureType | MeasureType |
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typedef Superclass::MovingImageConstPointer | MovingImageConstPointer |
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typedef FixedArray< double, Self::MovingImageDimension > | MovingImageDerivativeScalesType |
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typedef MovingImageLimiterType::OutputType | MovingImageLimiterOutputType |
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typedef MovingImageLimiterType::Pointer | MovingImageLimiterPointer |
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typedef LimiterFunctionBase< RealType, MovingImageDimension > | MovingImageLimiterType |
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typedef Superclass::MovingImageMaskPointer | MovingImageMaskPointer |
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typedef ImageMaskSpatialObject< itkGetStaticConstMacro(MovingImageDimension) > | MovingImageMaskSpatialObject2Type |
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typedef Superclass::MovingImageMaskType | MovingImageMaskType |
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typedef Superclass::MovingImagePixelType | MovingImagePixelType |
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typedef MovingImageType::Pointer | MovingImagePointer |
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typedef MovingImageType::RegionType | MovingImageRegionType |
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typedef Superclass::MovingImageType | MovingImageType |
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typedef AdvancedTransformType::NumberOfParametersType | NumberOfParametersType |
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typedef Superclass::OutputPointType | OutputPointType |
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typedef Superclass::ParametersType | ParametersType |
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typedef SmartPointer< Self > | Pointer |
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typedef Superclass::RealType | RealType |
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typedef TransformType::ScalarType | ScalarType |
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typedef AdvancedImageToImageMetric | Self |
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typedef ImageToImageMetric< TFixedImage, TFixedImage > | Superclass |
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typedef itk::PlatformMultiThreader | ThreaderType |
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typedef ThreaderType::WorkUnitInfo | ThreadInfoType |
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typedef Superclass::TransformJacobianType | TransformJacobianType |
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typedef Superclass::TransformParametersType | TransformParametersType |
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typedef Superclass::TransformPointer | TransformPointer |
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typedef Superclass::TransformType | TransformType |
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void | AfterThreadedGetValueAndDerivative (MeasureType &value, DerivativeType &derivative) const override |
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virtual const char * | GetClassName () const |
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void | GetDerivative (const ParametersType ¶meters, DerivativeType &derivative) const override |
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virtual unsigned int | GetNumberOfSamplesForSelfHessian () const |
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void | GetSelfHessian (const TransformParametersType ¶meters, HessianType &H) const override |
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MeasureType | GetValue (const ParametersType ¶meters) const override |
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void | GetValueAndDerivative (const ParametersType ¶meters, MeasureType &value, DerivativeType &derivative) const override |
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virtual void | GetValueAndDerivativeSingleThreaded (const ParametersType ¶meters, MeasureType &value, DerivativeType &derivative) const |
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| itkStaticConstMacro (FixedImageDimension, unsigned int, FixedImageType::ImageDimension) |
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virtual void | SetNumberOfSamplesForSelfHessian (unsigned int _arg) |
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void | ThreadedGetValueAndDerivative (ThreadIdType threadID) override |
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virtual const char * | GetClassName () const |
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| itkStaticConstMacro (FixedImageDimension, unsigned int, FixedImageType::ImageDimension) |
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virtual void | BeforeThreadedGetValueAndDerivative (const TransformParametersType ¶meters) const |
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virtual const char * | GetClassName () const |
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virtual const FixedImageLimiterType * | GetFixedImageLimiter () |
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virtual double | GetFixedLimitRangeRatio () const |
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virtual ImageSamplerType * | GetImageSampler (void) const |
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virtual const MovingImageDerivativeScalesType & | GetMovingImageDerivativeScales () |
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virtual const MovingImageLimiterType * | GetMovingImageLimiter () |
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virtual double | GetMovingLimitRangeRatio () const |
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virtual double | GetRequiredRatioOfValidSamples () const |
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virtual bool | GetScaleGradientWithRespectToMovingImageOrientation () const |
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virtual void | GetSelfHessian (const TransformParametersType ¶meters, HessianType &H) const |
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const AdvancedTransformType * | GetTransform (void) const override |
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virtual bool | GetUseFixedImageLimiter () const |
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virtual bool | GetUseImageSampler () const |
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virtual const bool & | GetUseMetricSingleThreaded () |
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virtual bool | GetUseMovingImageDerivativeScales () const |
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virtual bool | GetUseMovingImageLimiter () const |
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virtual const bool & | GetUseMultiThread () |
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void | Initialize (void) override |
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| itkStaticConstMacro (FixedImageDimension, unsigned int, TFixedImage::ImageDimension) |
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| itkStaticConstMacro (MovingImageDimension, unsigned int, TMovingImage::ImageDimension) |
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virtual void | SetFixedImageLimiter (FixedImageLimiterType *_arg) |
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virtual void | SetFixedLimitRangeRatio (double _arg) |
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virtual void | SetImageSampler (ImageSamplerType *_arg) |
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virtual void | SetMovingImageDerivativeScales (MovingImageDerivativeScalesType _arg) |
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virtual void | SetMovingImageLimiter (MovingImageLimiterType *_arg) |
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virtual void | SetMovingLimitRangeRatio (double _arg) |
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virtual void | SetNumberOfWorkUnits (ThreadIdType numberOfThreads) |
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virtual void | SetRequiredRatioOfValidSamples (double _arg) |
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virtual void | SetScaleGradientWithRespectToMovingImageOrientation (bool _arg) |
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virtual void | SetTransform (AdvancedTransformType *arg) |
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virtual void | SetUseMetricSingleThreaded (bool _arg) |
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virtual void | SetUseMovingImageDerivativeScales (bool _arg) |
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virtual void | SetUseMultiThread (bool _arg) |
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virtual void | UseMetricSingleThreadedOff () |
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virtual void | UseMetricSingleThreadedOn () |
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virtual void | UseMultiThreadOff () |
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virtual void | UseMultiThreadOn () |
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| TransformBendingEnergyPenaltyTerm () |
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| ~TransformBendingEnergyPenaltyTerm () override |
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virtual bool | CheckForBSplineTransform2 (BSplineOrder3TransformPointer &bspline) const |
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| TransformPenaltyTerm () |
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| ~TransformPenaltyTerm () override |
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| AdvancedImageToImageMetric () |
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virtual void | AfterThreadedGetValue (MeasureType &value) const |
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virtual void | AfterThreadedGetValueAndDerivative (MeasureType &value, DerivativeType &derivative) const |
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virtual void | CheckForAdvancedTransform (void) |
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virtual void | CheckForBSplineInterpolator (void) |
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virtual void | CheckForBSplineTransform (void) const |
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virtual void | CheckNumberOfSamples (unsigned long wanted, unsigned long found) const |
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virtual bool | EvaluateMovingImageValueAndDerivative (const MovingImagePointType &mappedPoint, RealType &movingImageValue, MovingImageDerivativeType *gradient) const |
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virtual bool | EvaluateTransformJacobian (const FixedImagePointType &fixedImagePoint, TransformJacobianType &jacobian, NonZeroJacobianIndicesType &nzji) const |
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virtual void | EvaluateTransformJacobianInnerProduct (const TransformJacobianType &jacobian, const MovingImageDerivativeType &movingImageDerivative, DerivativeType &imageJacobian) const |
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virtual void | InitializeImageSampler (void) |
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virtual void | InitializeLimiters (void) |
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virtual void | InitializeThreadingParameters (void) const |
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virtual bool | IsInsideMovingMask (const MovingImagePointType &point) const |
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| itkAlignedTypedef (ITK_CACHE_LINE_ALIGNMENT, PaddedGetValueAndDerivativePerThreadStruct, AlignedGetValueAndDerivativePerThreadStruct) |
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| itkAlignedTypedef (ITK_CACHE_LINE_ALIGNMENT, PaddedGetValuePerThreadStruct, AlignedGetValuePerThreadStruct) |
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| itkPadStruct (ITK_CACHE_LINE_ALIGNMENT, GetValueAndDerivativePerThreadStruct, PaddedGetValueAndDerivativePerThreadStruct) |
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| itkPadStruct (ITK_CACHE_LINE_ALIGNMENT, GetValuePerThreadStruct, PaddedGetValuePerThreadStruct) |
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void | LaunchGetValueAndDerivativeThreaderCallback (void) const |
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void | LaunchGetValueThreaderCallback (void) const |
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void | PrintSelf (std::ostream &os, Indent indent) const override |
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virtual void | SetUseFixedImageLimiter (bool _arg) |
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virtual void | SetUseImageSampler (bool _arg) |
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virtual void | SetUseMovingImageLimiter (bool _arg) |
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virtual void | ThreadedGetValue (ThreadIdType threadID) |
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virtual void | ThreadedGetValueAndDerivative (ThreadIdType threadID) |
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virtual bool | TransformPoint (const FixedImagePointType &fixedImagePoint, MovingImagePointType &mappedPoint) const |
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| ~AdvancedImageToImageMetric () override |
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