#include <itkAdvancedBSplineDeformableTransform.h>

Detailed Description

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

Deformable transform using a B-spline representation.

This class encapsulates a deformable transform of points from one N-dimensional one space to another N-dimensional space. The deformation field is modeled using B-splines. A deformation is defined on a sparse regular grid of control points $\vec{\lambda}_j$ and is varied by defining a deformation $\vec{g}(\vec{\lambda}_j)$ of each control point. The deformation $D(\vec{x})$ at any point $\vec{x}$ is obtained by using a B-spline interpolation kernel.

The deformation field grid is defined by a user specified GridRegion, GridSpacing and GridOrigin. Each grid/control point has associated with it N deformation coefficients $\vec{\delta}_j$ , representing the N directional components of the deformation. Deformation outside the grid plus support region for the B-spline interpolation is assumed to be zero.

Additionally, the user can specified an addition bulk transform such that the transformed point is given by:

$\‍[ \vec{y} = B(\vec{x}) + D(\vec{x}) \‍]$

The parameters for this transform is N x N-D grid of spline coefficients. The user specifies the parameters as one flat array: each N-D grid is represented by an array in the same way an N-D image is represented in the buffer; the N arrays are then concatentated together on form a single array.

For efficiency, this transform does not make a copy of the parameters. It only keeps a pointer to the input parameters and assumes that the memory is managed by the caller.

The following illustrates the typical usage of this class:

* typedef AdvancedBSplineDeformableTransform<double,2,3> TransformType;
* auto transform = TransformType::New();
*
* transform->SetGridRegion( region );
* transform->SetGridSpacing( spacing );
* transform->SetGridOrigin( origin );
*
* // NB: the region must be set first before setting the parameters
*
* TransformType::ParametersType parameters(
*                                       transform->GetNumberOfParameters() );
*
* // Fill the parameters with values
*
* transform->SetParameters( parameters )
*
* outputPoint = transform->TransformPoint( inputPoint );
*
*

An alternative way to set the B-spline coefficients is via array of images. The grid region, spacing and origin information is taken directly from the first image. It is assumed that the subsequent images are the same buffered region. The following illustrates the API:

*
* TransformType::ImageConstPointer images[2];
*
* // Fill the images up with values
*
* transform->SetCoefficientImages( images );
* outputPoint = transform->TransformPoint( inputPoint );
*
*

Warning: use either the SetParameters() or SetCoefficientImages() API. Mixing the two modes may results in unexpected results.

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

Definition at line 132 of file itkAdvancedBSplineDeformableTransform.h.

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

[legend]

Public Types
using	ConstPointer = SmartPointer<const Self>
using	ContinuousIndexType = typename WeightsFunctionType::ContinuousIndexType
using	DerivativeWeightsFunctionPointer = typename DerivativeWeightsFunctionType::Pointer
using	DerivativeWeightsFunctionType
using	DirectionType
using	GridOffsetType
using	ImagePointer
using	ImageType
using	IndexType
using	OriginType
using	ParameterIndexArrayType
using	Pointer = SmartPointer<Self>
using	RegionType
using	Self = AdvancedBSplineDeformableTransform
using	SizeType
using	SODerivativeWeightsFunctionPointer = typename SODerivativeWeightsFunctionType::Pointer
using	SODerivativeWeightsFunctionType
using	SpacingType
using	Superclass = AdvancedBSplineDeformableTransformBase<TScalarType, NDimensions>
using	WeightFunctionBaseType = BSplineInterpolationWeightFunctionBase<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::AdvancedBSplineDeformableTransformBase< double, 3 >
using	ConstPointer
using	ContinuousIndexType
using	DirectionType
using	GridOffsetType
using	ImagePointer
using	ImageType
using	IndexType
typedef typename SpatialJacobianType::InternalMatrixType	InternalMatrixType
typedef std::vector< SpatialHessianType >	JacobianOfSpatialHessianType
typedef std::vector< SpatialJacobianType >	JacobianOfSpatialJacobianType
typedef OutputCovariantVectorType	MovingImageGradientType
typedef typename MovingImageGradientType::ValueType	MovingImageGradientValueType
typedef std::vector< uint64_t >	NonZeroJacobianIndicesType
using	OriginType
using	ParameterIndexArrayType
using	Pointer
using	RegionType
using	Self
using	SizeType
using	SpacingType
typedef FixedArray< Matrix< ScalarType, InputSpaceDimension, InputSpaceDimension >, OutputSpaceDimension >	SpatialHessianType
typedef Matrix< ScalarType, OutputSpaceDimension, InputSpaceDimension >	SpatialJacobianType
using	Superclass
Public Types inherited from itk::AdvancedTransform< double, NDimensions, NDimensions >
using	ConstPointer
using	InternalMatrixType
using	InverseTransformBaseType
using	JacobianOfSpatialHessianType
using	JacobianOfSpatialJacobianType
using	MovingImageGradientType
using	MovingImageGradientValueType
using	NonZeroJacobianIndicesType
using	Pointer
using	Self
using	SpatialHessianType
using	SpatialJacobianType
using	Superclass
using	TransformType
using	TransformTypeConstPointer
using	TransformTypePointer

Public Member Functions
void	EvaluateJacobianWithImageGradientProduct (const InputPointType &inputPoint, const MovingImageGradientType &movingImageGradient, DerivativeType &imageJacobian, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override
void	GetJacobian (const InputPointType &inputPoint, JacobianType &j, NonZeroJacobianIndicesType &nzji) 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
unsigned int	GetNumberOfAffectedWeights () const override
NumberOfParametersType	GetNumberOfNonZeroJacobianIndices () 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 (AdvancedBSplineDeformableTransform)
	itkOverrideGetNameOfClassMacro (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< double, 3 >
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
bool	IsLinear () const override
	ITK_DISALLOW_COPY_AND_MOVE (AdvancedBSplineDeformableTransformBase)
	itkOverrideGetNameOfClassMacro (AdvancedBSplineDeformableTransformBase)
	itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)
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
Public Member Functions inherited from itk::AdvancedTransform< double, NDimensions, NDimensions >
void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const override
virtual bool	GetHasNonZeroJacobianOfSpatialHessian () const
virtual bool	GetHasNonZeroSpatialHessian () const
	ITK_DISALLOW_COPY_AND_MOVE (AdvancedTransform)
	itkOverrideGetNameOfClassMacro (AdvancedTransform)
	itkStaticConstMacro (InputSpaceDimension, unsigned int, NInputDimensions)

Static Public Member Functions
static Pointer	New ()
Static Public Member Functions inherited from itk::AdvancedBSplineDeformableTransformBase< double, 3 >
static Pointer	Create (const unsigned splineOrder)

Static Public Attributes
static constexpr unsigned	NumberOfWeights = WeightsFunctionType::NumberOfWeights
Static Public Attributes inherited from itk::AdvancedBSplineDeformableTransformBase< double, 3 >
static constexpr unsigned int	NumberOfFixedParameters

Protected Types
using	JacobianImageType
using	JacobianPixelType
Protected Types inherited from itk::AdvancedBSplineDeformableTransformBase< double, 3 >
using	JacobianImageType
using	JacobianPixelType

Protected Member Functions
	AdvancedBSplineDeformableTransform ()
void	ComputeNonZeroJacobianIndices (NonZeroJacobianIndicesType &nonZeroJacobianIndices, const RegionType &supportRegion) const override
void	PrintSelf (std::ostream &os, Indent indent) const override
void	WrapAsImages ()
	~AdvancedBSplineDeformableTransform () override=default
Protected Member Functions inherited from itk::AdvancedBSplineDeformableTransformBase< double, 3 >
	AdvancedBSplineDeformableTransformBase ()=delete
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< double, NDimensions, NDimensions >
	AdvancedTransform ()=default
	~AdvancedTransform () override=default

Protected Attributes
DerivativeWeightsFunctionPointer	m_DerivativeWeightsFunctions [NDimensions] {}
const WeightsFunctionPointer	m_WeightsFunction { WeightsFunctionType::New() }
Protected Attributes inherited from itk::AdvancedBSplineDeformableTransformBase< double, 3 >
FixedArray< ImagePointer, NDimensions >	m_CoefficientImages
DirectionType	m_GridDirection
GridOffsetType	m_GridOffsetTable
OriginType	m_GridOrigin
RegionType	m_GridRegion
SpacingType	m_GridSpacing
DirectionType	m_IndexToPoint
const ParametersType *	m_InputParametersPointer
ParametersType	m_InternalParametersBuffer
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
ContinuousIndexType	m_ValidRegionBegin
ContinuousIndexType	m_ValidRegionEnd
FixedArray< ImagePointer, NDimensions >	m_WrappedImage
Protected Attributes inherited from itk::AdvancedTransform< double, NDimensions, NDimensions >
bool	m_HasNonZeroJacobianOfSpatialHessian
bool	m_HasNonZeroSpatialHessian

Private Attributes
SODerivativeWeightsFunctionPointer	m_SODerivativeWeightsFunctions [NDimensions][NDimensions] {}

Friends
class	MultiBSplineDeformableTransformWithNormal< ScalarType, Self::SpaceDimension, VSplineOrder >

Member Typedef Documentation

◆ ConstPointer

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ConstPointer = SmartPointer<const Self>

Definition at line 142 of file itkAdvancedBSplineDeformableTransform.h.

◆ ContinuousIndexType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ContinuousIndexType = typename WeightsFunctionType::ContinuousIndexType

Definition at line 209 of file itkAdvancedBSplineDeformableTransform.h.

◆ DerivativeWeightsFunctionPointer

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::DerivativeWeightsFunctionPointer = typename DerivativeWeightsFunctionType::Pointer

Definition at line 212 of file itkAdvancedBSplineDeformableTransform.h.

◆ DerivativeWeightsFunctionType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::DerivativeWeightsFunctionType

Initial value:

BSplineInterpolationDerivativeWeightFunction<ScalarType, Self::SpaceDimension, VSplineOrder>

itk::BSplineInterpolationDerivativeWeightFunction

Returns the weights over the support region used for B-spline interpolation/reconstruction.

Definition itkBSplineInterpolationDerivativeWeightFunction.h:46

Definition at line 210 of file itkAdvancedBSplineDeformableTransform.h.

◆ DirectionType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >::DirectionType

Definition at line 229 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ GridOffsetType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >::GridOffsetType

Definition at line 231 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ ImagePointer

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >::ImagePointer

Definition at line 200 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ ImageType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >::ImageType

Definition at line 199 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ IndexType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >::IndexType

Definition at line 226 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ JacobianImageType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >::JacobianImageType

protected

Definition at line 393 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ JacobianPixelType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >::JacobianPixelType

protected

Jacobian as SpaceDimension number of images.

Definition at line 392 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ OriginType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >::OriginType

Definition at line 230 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ ParameterIndexArrayType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >::ParameterIndexArrayType

Parameter index array type.

Definition at line 258 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ Pointer

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::Pointer = SmartPointer<Self>

Definition at line 141 of file itkAdvancedBSplineDeformableTransform.h.

◆ RegionType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >::RegionType

Typedefs for specifying the extend to the grid.

Definition at line 224 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ Self

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::Self = AdvancedBSplineDeformableTransform

Standard class typedefs.

Definition at line 139 of file itkAdvancedBSplineDeformableTransform.h.

◆ SizeType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >::SizeType

Definition at line 227 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ SODerivativeWeightsFunctionPointer

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SODerivativeWeightsFunctionPointer = typename SODerivativeWeightsFunctionType::Pointer

Definition at line 215 of file itkAdvancedBSplineDeformableTransform.h.

◆ SODerivativeWeightsFunctionType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SODerivativeWeightsFunctionType

Initial value:

BSplineInterpolationSecondOrderDerivativeWeightFunction<ScalarType, Self::SpaceDimension, VSplineOrder>

itk::BSplineInterpolationSecondOrderDerivativeWeightFunction

Returns the weights over the support region used for B-spline interpolation/reconstruction.

Definition itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h:47

Definition at line 213 of file itkAdvancedBSplineDeformableTransform.h.

◆ SpacingType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransformBase< TScalarType, NDimensions >::SpacingType

Definition at line 228 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ Superclass

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::Superclass = AdvancedBSplineDeformableTransformBase<TScalarType, NDimensions>

Definition at line 140 of file itkAdvancedBSplineDeformableTransform.h.

◆ WeightFunctionBaseType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::WeightFunctionBaseType = BSplineInterpolationWeightFunctionBase<TScalarType, NDimensions, VSplineOrder>

Interpolation weights function type.

Definition at line 205 of file itkAdvancedBSplineDeformableTransform.h.

◆ WeightsFunctionPointer

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::WeightsFunctionPointer = typename WeightsFunctionType::Pointer

Definition at line 207 of file itkAdvancedBSplineDeformableTransform.h.

◆ WeightsFunctionType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::WeightsFunctionType = BSplineInterpolationWeightFunction2<ScalarType, Self::SpaceDimension, VSplineOrder>

Definition at line 206 of file itkAdvancedBSplineDeformableTransform.h.

◆ WeightsType

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

using itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::WeightsType = typename WeightsFunctionType::WeightsType

Definition at line 208 of file itkAdvancedBSplineDeformableTransform.h.

Constructor & Destructor Documentation

◆ AdvancedBSplineDeformableTransform()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::AdvancedBSplineDeformableTransform ( )

protected

◆ ~AdvancedBSplineDeformableTransform()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::~AdvancedBSplineDeformableTransform ( )

overrideprotecteddefault

Member Function Documentation

◆ ComputeNonZeroJacobianIndices()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ComputeNonZeroJacobianIndices	(	NonZeroJacobianIndicesType &	nonZeroJacobianIndices,
		const RegionType &	supportRegion ) const

overrideprotectedvirtual

Implements itk::AdvancedBSplineDeformableTransformBase< double, 3 >.

Reimplemented in itk::CyclicBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, and itk::RecursiveBSplineTransform< TScalarType, NDimensions, VSplineOrder >.

◆ EvaluateJacobianWithImageGradientProduct()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::EvaluateJacobianWithImageGradientProduct	(	const InputPointType &	inputPoint,
		const MovingImageGradientType &	movingImageGradient,
		DerivativeType &	imageJacobian,
		NonZeroJacobianIndicesType &	nonZeroJacobianIndices ) const

overridevirtual

Compute the inner product of the Jacobian with the moving image gradient. The Jacobian is (partially) constructed inside this function, but not returned.

Reimplemented from itk::AdvancedTransform< double, NDimensions, NDimensions >.

Reimplemented in itk::RecursiveBSplineTransform< TScalarType, NDimensions, VSplineOrder >.

◆ GetJacobian()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetJacobian	(	const InputPointType &	inputPoint,
		JacobianType &	j,
		NonZeroJacobianIndicesType &	nzji ) const

overridevirtual

Compute the Jacobian of the transformation.

Implements itk::AdvancedTransform< double, NDimensions, NDimensions >.

Reimplemented in itk::CyclicBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, and itk::RecursiveBSplineTransform< TScalarType, NDimensions, VSplineOrder >.

◆ GetJacobianOfSpatialHessian() [1/2]

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetJacobianOfSpatialHessian	(	const InputPointType &	inputPoint,
		JacobianOfSpatialHessianType &	jsh,
		NonZeroJacobianIndicesType &	nonZeroJacobianIndices ) const

overridevirtual

Compute the Jacobian of the spatial Hessian of the transformation.

Implements itk::AdvancedTransform< double, NDimensions, NDimensions >.

Reimplemented in itk::RecursiveBSplineTransform< TScalarType, NDimensions, VSplineOrder >.

◆ GetJacobianOfSpatialHessian() [2/2]

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetJacobianOfSpatialHessian	(	const InputPointType &	inputPoint,
		SpatialHessianType &	sh,
		JacobianOfSpatialHessianType &	jsh,
		NonZeroJacobianIndicesType &	nonZeroJacobianIndices ) const

override

Compute both the spatial Hessian and the Jacobian of the spatial Hessian of the transformation.

◆ GetJacobianOfSpatialJacobian() [1/2]

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetJacobianOfSpatialJacobian	(	const InputPointType &	inputPoint,
		JacobianOfSpatialJacobianType &	jsj,
		NonZeroJacobianIndicesType &	nonZeroJacobianIndices ) const

overridevirtual

Compute the Jacobian of the spatial Jacobian of the transformation.

Implements itk::AdvancedTransform< double, NDimensions, NDimensions >.

Reimplemented in itk::RecursiveBSplineTransform< TScalarType, NDimensions, VSplineOrder >.

◆ GetJacobianOfSpatialJacobian() [2/2]

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetJacobianOfSpatialJacobian	(	const InputPointType &	inputPoint,
		SpatialJacobianType &	sj,
		JacobianOfSpatialJacobianType &	jsj,
		NonZeroJacobianIndicesType &	nonZeroJacobianIndices ) const

override

Compute both the spatial Jacobian and the Jacobian of the spatial Jacobian of the transformation.

◆ GetNumberOfAffectedWeights()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

unsigned int itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetNumberOfAffectedWeights ( ) const

overridevirtual

Implements itk::AdvancedBSplineDeformableTransformBase< double, 3 >.

◆ GetNumberOfNonZeroJacobianIndices()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

NumberOfParametersType itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetNumberOfNonZeroJacobianIndices ( ) const

overridevirtual

Implements itk::AdvancedBSplineDeformableTransformBase< double, 3 >.

◆ GetSpatialHessian()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetSpatialHessian	(	const InputPointType &	inputPoint,
		SpatialHessianType &	sh ) const

overridevirtual

Compute the spatial Hessian of the transformation.

Implements itk::AdvancedTransform< double, NDimensions, NDimensions >.

Reimplemented in itk::RecursiveBSplineTransform< TScalarType, NDimensions, VSplineOrder >.

◆ GetSpatialJacobian()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetSpatialJacobian	(	const InputPointType &	inputPoint,
		SpatialJacobianType &	sj ) const

overridevirtual

Compute the spatial Jacobian of the transformation.

Implements itk::AdvancedTransform< double, NDimensions, NDimensions >.

Reimplemented in itk::CyclicBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, and itk::RecursiveBSplineTransform< TScalarType, NDimensions, VSplineOrder >.

◆ ITK_DISALLOW_COPY_AND_MOVE()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ITK_DISALLOW_COPY_AND_MOVE ( AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder > )

◆ itkOverrideGetNameOfClassMacro()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::itkOverrideGetNameOfClassMacro ( AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder > )

Run-time type information (and related methods).

◆ itkStaticConstMacro() [1/2]

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::itkStaticConstMacro	(	SpaceDimension	,
		unsigned int	,
		NDimensions	)

Dimension of the domain space.

◆ itkStaticConstMacro() [2/2]

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::itkStaticConstMacro	(	SplineOrder	,
		unsigned int	,
		VSplineOrder	)

The B-spline order.

◆ New()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

Pointer itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::New ( )

static

New macro for creation of through the object factory.

◆ PrintSelf()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::PrintSelf	(	std::ostream &	os,
		Indent	indent ) const

overrideprotected

Print contents of an AdvancedBSplineDeformableTransform.

◆ SetGridRegion()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetGridRegion ( const RegionType & region )

overridevirtual

This method specifies the region over which the grid resides.

Implements itk::AdvancedBSplineDeformableTransformBase< double, 3 >.

Reimplemented in itk::CyclicBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >.

◆ TransformPoint()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

OutputPointType itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::TransformPoint ( const InputPointType & point ) const

override

Transform points by a B-spline deformable transformation.

◆ WrapAsImages()

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::WrapAsImages ( )

protected

Wrap flat array into images of coefficients.

◆ MultiBSplineDeformableTransformWithNormal< ScalarType, Self::SpaceDimension, VSplineOrder >

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

friend class MultiBSplineDeformableTransformWithNormal< ScalarType, Self::SpaceDimension, VSplineOrder >

friend

Definition at line 311 of file itkAdvancedBSplineDeformableTransform.h.

Member Data Documentation

◆ m_DerivativeWeightsFunctions

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

DerivativeWeightsFunctionPointer itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_DerivativeWeightsFunctions[NDimensions] {}

protected

Definition at line 308 of file itkAdvancedBSplineDeformableTransform.h.

◆ m_SODerivativeWeightsFunctions

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

SODerivativeWeightsFunctionPointer itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_SODerivativeWeightsFunctions[NDimensions][NDimensions] {}

private

Definition at line 311 of file itkAdvancedBSplineDeformableTransform.h.

◆ m_WeightsFunction

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

const WeightsFunctionPointer itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_WeightsFunction { WeightsFunctionType::New() }

protected

Pointer to function used to compute B-spline interpolation weights. For each direction we create a different weights function for thread- safety.

Definition at line 307 of file itkAdvancedBSplineDeformableTransform.h.

◆ NumberOfWeights

template<typename TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>

unsigned itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::NumberOfWeights = WeightsFunctionType::NumberOfWeights

staticconstexpr

The number of weights.

Definition at line 225 of file itkAdvancedBSplineDeformableTransform.h.

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Types

Protected Member Functions

Protected Attributes

Private Attributes

Friends

Member Typedef Documentation

◆ ConstPointer

◆ ContinuousIndexType

◆ DerivativeWeightsFunctionPointer

◆ DerivativeWeightsFunctionType

◆ DirectionType

◆ GridOffsetType

◆ ImagePointer

◆ ImageType

◆ IndexType

◆ JacobianImageType

◆ JacobianPixelType

◆ OriginType

◆ ParameterIndexArrayType

◆ Pointer

◆ RegionType

◆ Self

◆ SizeType

◆ SODerivativeWeightsFunctionPointer

◆ SODerivativeWeightsFunctionType

◆ SpacingType

◆ Superclass

◆ WeightFunctionBaseType

◆ WeightsFunctionPointer

◆ WeightsFunctionType

◆ WeightsType

Constructor & Destructor Documentation

◆ AdvancedBSplineDeformableTransform()

◆ ~AdvancedBSplineDeformableTransform()

Member Function Documentation

◆ ComputeNonZeroJacobianIndices()

◆ EvaluateJacobianWithImageGradientProduct()

◆ GetJacobian()

◆ GetJacobianOfSpatialHessian() [1/2]

◆ GetJacobianOfSpatialHessian() [2/2]

◆ GetJacobianOfSpatialJacobian() [1/2]

◆ GetJacobianOfSpatialJacobian() [2/2]

◆ GetNumberOfAffectedWeights()

◆ GetNumberOfNonZeroJacobianIndices()

◆ GetSpatialHessian()

◆ GetSpatialJacobian()

◆ ITK_DISALLOW_COPY_AND_MOVE()

◆ itkOverrideGetNameOfClassMacro()

◆ itkStaticConstMacro() [1/2]

◆ itkStaticConstMacro() [2/2]

◆ New()

◆ PrintSelf()

◆ SetGridRegion()

◆ TransformPoint()

◆ WrapAsImages()

Friends And Related Symbol Documentation

◆ MultiBSplineDeformableTransformWithNormal< ScalarType, Self::SpaceDimension, VSplineOrder >

Member Data Documentation

◆ m_DerivativeWeightsFunctions

◆ m_SODerivativeWeightsFunctions

◆ m_WeightsFunction

◆ NumberOfWeights