#include <itkRecursiveBSplineTransform.h>

Detailed Description

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
class itk::RecursiveBSplineTransform< TScalarType, NDimensions, VSplineOrder >

A recursive implementation of the B-spline transform.

The class is templated coordinate representation type (float or double), the space dimension and the spline order.

Definition at line 39 of file itkRecursiveBSplineTransform.h.

Inheritance diagram for itk::RecursiveBSplineTransform< TScalarType, NDimensions, VSplineOrder >:

Public Types
using	ConstPointer = SmartPointer< const Self >

using	ContinuousIndexType = typename WeightsFunctionType::ContinuousIndexType

using	DerivativeWeightsFunctionPointer = typename DerivativeWeightsFunctionType::Pointer

using	DerivativeWeightsFunctionType = BSplineInterpolationDerivativeWeightFunction< ScalarType, Self::SpaceDimension, VSplineOrder >

using	DirectionType = typename ImageType::DirectionType

using	GridOffsetType = IndexType

using	ImagePointer = typename ImageType::Pointer

using	ImageType = Image< PixelType, Self::SpaceDimension >

using	IndexType = typename RegionType::IndexType

using	OffsetValueType = typename GridOffsetType::OffsetValueType

using	OriginType = typename ImageType::PointType

using	ParameterIndexArrayType = Array< unsigned long >

using	Pointer = SmartPointer< Self >

using	RegionType = ImageRegion< Self::SpaceDimension >

using	Self = RecursiveBSplineTransform

using	SizeType = typename RegionType::SizeType

using	SODerivativeWeightsFunctionPointer = typename SODerivativeWeightsFunctionType::Pointer

using	SODerivativeWeightsFunctionType = BSplineInterpolationSecondOrderDerivativeWeightFunction< ScalarType, Self::SpaceDimension, VSplineOrder >

using	SpacingType = typename ImageType::SpacingType

using	Superclass = AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >

using	WeightsFunctionPointer = typename WeightsFunctionType::Pointer

using	WeightsFunctionType = BSplineInterpolationWeightFunction2< ScalarType, Self::SpaceDimension, VSplineOrder >

using	WeightsType = typename WeightsFunctionType::WeightsType

Public Types inherited from itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >
using	ConstPointer = SmartPointer< const Self >

using	ContinuousIndexType = typename WeightsFunctionType::ContinuousIndexType

using	DerivativeWeightsFunctionPointer = typename DerivativeWeightsFunctionType::Pointer

using	DerivativeWeightsFunctionType = BSplineInterpolationDerivativeWeightFunction< ScalarType, Self::SpaceDimension, VSplineOrder >

using	DirectionType = typename ImageType::DirectionType

using	GridOffsetType = IndexType

using	ImagePointer = typename ImageType::Pointer

using	ImageType = Image< PixelType, Self::SpaceDimension >

using	IndexType = typename RegionType::IndexType

using	OriginType = typename ImageType::PointType

using	ParameterIndexArrayType = Array< unsigned long >

using	Pointer = SmartPointer< Self >

using	RegionType = ImageRegion< Self::SpaceDimension >

using	Self = AdvancedBSplineDeformableTransform

using	SizeType = typename RegionType::SizeType

using	SODerivativeWeightsFunctionPointer = typename SODerivativeWeightsFunctionType::Pointer

using	SODerivativeWeightsFunctionType = BSplineInterpolationSecondOrderDerivativeWeightFunction< ScalarType, Self::SpaceDimension, VSplineOrder >

using	SpacingType = typename ImageType::SpacingType

using	Superclass = AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >

using	WeightsFunctionPointer = typename WeightsFunctionType::Pointer

using	WeightsFunctionType = BSplineInterpolationWeightFunction2< ScalarType, Self::SpaceDimension, VSplineOrder >

using	WeightsType = typename WeightsFunctionType::WeightsType

Public Types inherited from itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >
using	ConstPointer = SmartPointer< const Self >

using	ContinuousIndexType = ContinuousIndex< ScalarType, SpaceDimension >

using	DirectionType = typename ImageType::DirectionType

using	GridOffsetType = IndexType

using	ImagePointer = typename ImageType::Pointer

using	ImageType = Image< PixelType, Self::SpaceDimension >

using	IndexType = typename RegionType::IndexType

using	OriginType = typename ImageType::PointType

using	ParameterIndexArrayType = Array< unsigned long >

using	Pointer = SmartPointer< Self >

using	RegionType = ImageRegion< Self::SpaceDimension >

using	Self = AdvancedBSplineDeformableTransformBase

using	SizeType = typename RegionType::SizeType

using	SpacingType = typename ImageType::SpacingType

using	Superclass = AdvancedTransform< TScalarType, NDimensions, NDimensions >

Public Types inherited from itk::AdvancedTransform< TScalarType, NInputDimensions, NOutputDimensions >
using	ConstPointer = SmartPointer< const Self >

using	InternalMatrixType = typename SpatialJacobianType::InternalMatrixType

using	InverseTransformBaseType = typename Superclass::InverseTransformBaseType

using	JacobianOfSpatialHessianType = std::vector< SpatialHessianType >

using	JacobianOfSpatialJacobianType = std::vector< SpatialJacobianType >

using	MovingImageGradientType = OutputCovariantVectorType

using	MovingImageGradientValueType = typename MovingImageGradientType::ValueType

using	NonZeroJacobianIndicesType = std::vector< unsigned long >

using	Pointer = SmartPointer< Self >

using	Self = AdvancedTransform

using	SpatialHessianType = FixedArray< Matrix< ScalarType, InputSpaceDimension, InputSpaceDimension >, OutputSpaceDimension >

using	SpatialJacobianType = Matrix< ScalarType, OutputSpaceDimension, InputSpaceDimension >

using	Superclass = Transform< TScalarType, NInputDimensions, NOutputDimensions >

using	TransformType = Transform< TScalarType, NInputDimensions, NOutputDimensions >

using	TransformTypeConstPointer = typename TransformType::ConstPointer

using	TransformTypePointer = typename TransformType::Pointer

Public Member Functions
void	EvaluateJacobianWithImageGradientProduct (const InputPointType &inputPoint, const MovingImageGradientType &movingImageGradient, DerivativeType &imageJacobian, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override

virtual const char *	GetClassName () const

void	GetJacobian (const InputPointType &inputPoint, JacobianType &j, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override

void	GetJacobianOfSpatialHessian (const InputPointType &inputPoint, JacobianOfSpatialHessianType &jsh, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override

void	GetJacobianOfSpatialHessian (const InputPointType &inputPoint, SpatialHessianType &sh, JacobianOfSpatialHessianType &jsh, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override

void	GetJacobianOfSpatialJacobian (const InputPointType &inputPoint, JacobianOfSpatialJacobianType &jsj, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override

void	GetJacobianOfSpatialJacobian (const InputPointType &inputPoint, SpatialJacobianType &sj, JacobianOfSpatialJacobianType &jsj, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override

void	GetSpatialHessian (const InputPointType &inputPoint, SpatialHessianType &sh) const override

void	GetSpatialJacobian (const InputPointType &inputPoint, SpatialJacobianType &sj) const override

	ITK_DISALLOW_COPY_AND_MOVE (RecursiveBSplineTransform)

	itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)

	itkStaticConstMacro (SplineOrder, unsigned int, VSplineOrder)

OutputPointType	TransformPoint (const InputPointType &point) const override

Public Member Functions inherited from itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >
unsigned int	GetNumberOfAffectedWeights () const override

NumberOfParametersType	GetNumberOfNonZeroJacobianIndices () const override

	ITK_DISALLOW_COPY_AND_MOVE (AdvancedBSplineDeformableTransform)

	itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)

	itkStaticConstMacro (SplineOrder, unsigned int, VSplineOrder)

void	SetGridRegion (const RegionType &region) override

OutputPointType	TransformPoint (const InputPointType &point) const override

Public Member Functions inherited from itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >
virtual const ImagePointer *	GetCoefficientImages () const

const FixedParametersType &	GetFixedParameters () const override

virtual DirectionType	GetGridDirection () const

virtual OriginType	GetGridOrigin () const

virtual RegionType	GetGridRegion () const

virtual SpacingType	GetGridSpacing () const

NumberOfParametersType	GetNumberOfParameters () const override

virtual NumberOfParametersType	GetNumberOfParametersPerDimension () const

const ParametersType &	GetParameters () const override

unsigned	GetSplineOrder () const

TransformCategoryEnum	GetTransformCategory () const override

virtual const RegionType &	GetValidRegion ()

bool	IsLinear () const override

	ITK_DISALLOW_COPY_AND_MOVE (AdvancedBSplineDeformableTransformBase)

	itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)

virtual void	SetCoefficientImages (ImagePointer images[])

void	SetFixedParameters (const FixedParametersType &parameters) override

virtual void	SetGridDirection (const DirectionType &direction)

virtual void	SetGridOrigin (const OriginType &origin)

virtual void	SetGridSpacing (const SpacingType &spacing)

void	SetIdentity ()

void	SetParameters (const ParametersType &parameters) override

void	SetParametersByValue (const ParametersType &parameters) override

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override

OutputVectorType	TransformVector (const InputVectorType &) const override

OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const override

Public Member Functions inherited from itk::AdvancedTransform< TScalarType, NInputDimensions, NOutputDimensions >
void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const override

virtual bool	GetHasNonZeroJacobianOfSpatialHessian () const

virtual bool	GetHasNonZeroSpatialHessian () const

	ITK_DISALLOW_COPY_AND_MOVE (AdvancedTransform)

	itkStaticConstMacro (InputSpaceDimension, unsigned int, NInputDimensions)

	itkStaticConstMacro (OutputSpaceDimension, unsigned int, NOutputDimensions)

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >
static Pointer	New ()

Static Public Member Functions inherited from itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >
template<template< class, unsigned, unsigned > class TBSplineDeformableTransform>
static Pointer	Create (const unsigned splineOrder)

Protected Types
using	JacobianImageType = Image< JacobianPixelType, Self::SpaceDimension >

using	JacobianPixelType = typename JacobianType::ValueType

Protected Types inherited from itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >
using	JacobianImageType = Image< JacobianPixelType, Self::SpaceDimension >

using	JacobianPixelType = typename JacobianType::ValueType

Protected Types inherited from itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >
using	JacobianImageType = Image< JacobianPixelType, Self::SpaceDimension >

using	JacobianPixelType = typename JacobianType::ValueType

Protected Member Functions
void	ComputeNonZeroJacobianIndices (NonZeroJacobianIndicesType &nonZeroJacobianIndices, const RegionType &supportRegion) const override

	RecursiveBSplineTransform ()=default

	~RecursiveBSplineTransform () override=default

Protected Member Functions inherited from itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >
	AdvancedBSplineDeformableTransform ()

	itkGetModifiableObjectMacro (WeightsFunction, WeightsFunctionType)

void	PrintSelf (std::ostream &os, Indent indent) const override

virtual void	SetWeightsFunction (WeightsFunctionType *_arg)

void	WrapAsImages ()

	~AdvancedBSplineDeformableTransform () override=default

Protected Member Functions inherited from itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >
	AdvancedBSplineDeformableTransformBase ()=delete

	AdvancedBSplineDeformableTransformBase (const unsigned splineOrder)

virtual bool	InsideValidRegion (const ContinuousIndexType &index) const

void	PrintSelf (std::ostream &os, Indent indent) const override

ContinuousIndexType	TransformPointToContinuousGridIndex (const InputPointType &point) const

void	UpdateGridOffsetTable ()

void	UpdatePointIndexConversions ()

void	WrapAsImages ()

	~AdvancedBSplineDeformableTransformBase () override=default

Protected Member Functions inherited from itk::AdvancedTransform< TScalarType, NInputDimensions, NOutputDimensions >
	AdvancedTransform ()=default

	~AdvancedTransform () override=default

Private Types
using	ImplementationType = RecursiveBSplineTransformImplementation< NDimensions, NDimensions, VSplineOrder, TScalarType >

using	RecursiveBSplineWeightFunctionType = itk::RecursiveBSplineInterpolationWeightFunction< TScalarType, NDimensions, VSplineOrder >

Private Attributes
elastix::DefaultConstruct< RecursiveBSplineWeightFunctionType >	m_RecursiveBSplineWeightFunction {}

Additional Inherited Members
Static Public Attributes inherited from itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >
static constexpr unsigned	NumberOfWeights = WeightsFunctionType::NumberOfWeights

Static Public Attributes inherited from itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >
static constexpr unsigned int	NumberOfFixedParameters = NDimensions * (NDimensions + 3)

Protected Attributes inherited from itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >
std::vector< DerivativeWeightsFunctionPointer >	m_DerivativeWeightsFunctions {}

std::vector< std::vector< SODerivativeWeightsFunctionPointer > >	m_SODerivativeWeightsFunctions {}

WeightsFunctionPointer	m_WeightsFunction {}

Protected Attributes inherited from itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >
ImagePointer	m_CoefficientImages [NDimensions] {}

DirectionType	m_GridDirection { DirectionType::GetIdentity() }

GridOffsetType	m_GridOffsetTable {}

OriginType	m_GridOrigin {}

RegionType	m_GridRegion {}

SpacingType	m_GridSpacing { 1.0 }

DirectionType	m_IndexToPoint {}

const ParametersType *	m_InputParametersPointer {}

ParametersType	m_InternalParametersBuffer {}

JacobianImageType::Pointer	m_JacobianImage [NDimensions] {}

IndexType	m_LastJacobianIndex {}

unsigned long	m_Offset {}

DirectionType	m_PointToIndexMatrix {}

SpatialJacobianType	m_PointToIndexMatrix2 {}

FixedArray< ScalarType, NDimensions >	m_PointToIndexMatrixDiagonal {}

FixedArray< ScalarType, NDimensions *NDimensions >	m_PointToIndexMatrixDiagonalProducts {}

bool	m_PointToIndexMatrixIsDiagonal {}

DirectionType	m_PointToIndexMatrixTransposed {}

SpatialJacobianType	m_PointToIndexMatrixTransposed2 {}

RegionType	m_ValidRegion {}

ContinuousIndexType	m_ValidRegionBegin {}

ContinuousIndexType	m_ValidRegionEnd {}

ImagePointer	m_WrappedImage [NDimensions] {}

Protected Attributes inherited from itk::AdvancedTransform< TScalarType, NInputDimensions, NOutputDimensions >
bool	m_HasNonZeroJacobianOfSpatialHessian { true }

bool	m_HasNonZeroSpatialHessian { true }