#include <itkAdvancedBSplineDeformableTransform.h>

Detailed Description

template<class 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 $ B $ 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	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

using	OriginType

using	ParameterIndexArrayType

using	Pointer

using	RegionType

using	Self

using	SizeType

using	SpacingType

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

virtual const char *	GetClassName () const

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)

	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 >
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< double, NDimensions, NDimensions >
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::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

	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< double, 3 >
	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< double, NDimensions, NDimensions >
	AdvancedTransform ()=default

	~AdvancedTransform () override=default

Protected Attributes
std::vector< DerivativeWeightsFunctionPointer >	m_DerivativeWeightsFunctions {}

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

WeightsFunctionPointer	m_WeightsFunction {}

Protected Attributes inherited from itk::AdvancedBSplineDeformableTransformBase< double, 3 >
ImagePointer	m_CoefficientImages [NDimensions]

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

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< double, NDimensions, NDimensions >
bool	m_HasNonZeroJacobianOfSpatialHessian

bool	m_HasNonZeroSpatialHessian

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

Member Typedef Documentation

◆ ConstPointer

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

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

Definition at line 208 of file itkAdvancedBSplineDeformableTransform.h.

◆ DerivativeWeightsFunctionPointer

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

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

Definition at line 211 of file itkAdvancedBSplineDeformableTransform.h.

◆ DerivativeWeightsFunctionType

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

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

Initial value:

BSplineInterpolationDerivativeWeightFunction<ScalarType, Self::SpaceDimension, VSplineOrder>

Definition at line 209 of file itkAdvancedBSplineDeformableTransform.h.

◆ DirectionType

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

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

protected

Definition at line 402 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ JacobianPixelType

template<class 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 401 of file itkAdvancedBSplineDeformableTransformBase.h.

◆ OriginType

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

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

Definition at line 214 of file itkAdvancedBSplineDeformableTransform.h.

◆ SODerivativeWeightsFunctionType

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

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

Initial value:

BSplineInterpolationSecondOrderDerivativeWeightFunction<ScalarType, Self::SpaceDimension, VSplineOrder>

Definition at line 212 of file itkAdvancedBSplineDeformableTransform.h.

◆ SpacingType

template<class 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<class 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.

◆ WeightsFunctionPointer

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

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

Definition at line 206 of file itkAdvancedBSplineDeformableTransform.h.

◆ WeightsFunctionType

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

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

Interpolation weights function type.

Definition at line 205 of file itkAdvancedBSplineDeformableTransform.h.

◆ WeightsType

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

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

Definition at line 207 of file itkAdvancedBSplineDeformableTransform.h.

Constructor & Destructor Documentation

◆ AdvancedBSplineDeformableTransform()

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

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

protected

◆ ~AdvancedBSplineDeformableTransform()

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

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

overrideprotecteddefault

Member Function Documentation

◆ ComputeNonZeroJacobianIndices()

template<class 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<class 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 >.

◆ GetClassName()

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

virtual const char * itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetClassName ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::AdvancedBSplineDeformableTransformBase< double, 3 >.

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

◆ GetJacobian()

template<class 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<class 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<class 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

overridevirtual

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

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

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

◆ GetJacobianOfSpatialJacobian() [1/2]

template<class 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<class 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

overridevirtual

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

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

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

◆ GetNumberOfAffectedWeights()

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

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

◆ itkGetModifiableObjectMacro()

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

itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::itkGetModifiableObjectMacro	(	WeightsFunction	,
		WeightsFunctionType	)

protected

◆ itkStaticConstMacro() [1/2]

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

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

static

New macro for creation of through the object factory.

◆ PrintSelf()

template<class 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<class 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 >.

◆ SetWeightsFunction()

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

virtual void itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetWeightsFunction ( WeightsFunctionType * _arg )

protectedvirtual

Allow subclasses to access and manipulate the weights function.

◆ TransformPoint()

template<class 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<class 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.

Friends And Related Symbol Documentation

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

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

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

friend

Definition at line 309 of file itkAdvancedBSplineDeformableTransform.h.

Field Documentation

◆ m_DerivativeWeightsFunctions

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

std::vector<DerivativeWeightsFunctionPointer> itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_DerivativeWeightsFunctions {}

protected

Definition at line 308 of file itkAdvancedBSplineDeformableTransform.h.

◆ m_SODerivativeWeightsFunctions

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

std::vector<std::vector<SODerivativeWeightsFunctionPointer> > itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_SODerivativeWeightsFunctions {}

protected

Definition at line 309 of file itkAdvancedBSplineDeformableTransform.h.

◆ m_WeightsFunction

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

WeightsFunctionPointer itk::AdvancedBSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_WeightsFunction {}

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<class 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 220 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

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

◆ WeightsFunctionPointer

◆ WeightsFunctionType

◆ WeightsType

Constructor & Destructor Documentation

◆ AdvancedBSplineDeformableTransform()

◆ ~AdvancedBSplineDeformableTransform()

Member Function Documentation

◆ ComputeNonZeroJacobianIndices()

◆ EvaluateJacobianWithImageGradientProduct()

◆ GetClassName()

◆ GetJacobian()

◆ GetJacobianOfSpatialHessian() [1/2]

◆ GetJacobianOfSpatialHessian() [2/2]

◆ GetJacobianOfSpatialJacobian() [1/2]

◆ GetJacobianOfSpatialJacobian() [2/2]

◆ GetNumberOfAffectedWeights()

◆ GetNumberOfNonZeroJacobianIndices()

◆ GetSpatialHessian()

◆ GetSpatialJacobian()

◆ ITK_DISALLOW_COPY_AND_MOVE()

◆ itkGetModifiableObjectMacro()

◆ itkStaticConstMacro() [1/2]

◆ itkStaticConstMacro() [2/2]

◆ New()

◆ PrintSelf()

◆ SetGridRegion()

◆ SetWeightsFunction()

◆ TransformPoint()

◆ WrapAsImages()

Friends And Related Symbol Documentation

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

Field Documentation

◆ m_DerivativeWeightsFunctions

◆ m_SODerivativeWeightsFunctions

◆ m_WeightsFunction

◆ NumberOfWeights