#include <itkVolumeSplineKernelTransform.h>

Detailed Description

template<typename TParametersValueType, unsigned int VDimension = 3>
class itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >

This class defines the thin plate spline (TPS) transformation. It is implemented in as straightforward a manner as possible from the IEEE TMI paper by Davis, Khotanzad, Flamig, and Harms, Vol. 16 No. 3 June 1997

Definition at line 35 of file itkVolumeSplineKernelTransform.h.

Inheritance diagram for itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >:

Collaboration diagram for itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >:

Public Types
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	Self = VolumeSplineKernelTransform

using	Superclass = KernelTransform< TParametersValueType, VDimension >

Public Types inherited from itk::KernelTransform< TParametersValueType, 3 >
using	AMatrixType = vnl_matrix_fixed< TParametersValueType, VDimension, VDimension >

using	BMatrixType = vnl_vector_fixed< TParametersValueType, VDimension >

using	ColumnMatrixType = vnl_matrix_fixed< TParametersValueType, VDimension, 1 >

using	ConstPointer = SmartPointer< const Self >

using	DMatrixType = vnl_matrix< TParametersValueType >

using	GMatrixType = vnl_matrix_fixed< TParametersValueType, VDimension, VDimension >

using	IMatrixType = vnl_matrix_fixed< TParametersValueType, VDimension, VDimension >

using	KMatrixType = vnl_matrix< TParametersValueType >

using	LMatrixType = vnl_matrix< TParametersValueType >

using	PMatrixType = vnl_matrix< TParametersValueType >

using	Pointer = SmartPointer< Self >

using	PointIdentifier = typename PointSetType::PointIdentifier

using	PointsConstIterator = typename PointSetType::PointsContainerConstIterator

using	PointsContainer = typename PointSetType::PointsContainer

using	PointSetPointer = typename PointSetType::Pointer

using	PointSetTraitsType = DefaultStaticMeshTraits< TParametersValueType, VDimension, VDimension, TParametersValueType, TParametersValueType >

using	PointSetType = PointSet< InputPointType, VDimension, PointSetTraitsType >

using	PointsIterator = typename PointSetType::PointsContainerIterator

using	RowMatrixType = vnl_matrix_fixed< TParametersValueType, 1, VDimension >

using	Self = KernelTransform

using	Superclass = Transform< TParametersValueType, VDimension, VDimension >

using	VectorSetPointer = typename VectorSetType::Pointer

using	VectorSetType = itk::VectorContainer< InputVectorType >

using	WMatrixType = vnl_matrix< TParametersValueType >

using	YMatrixType = vnl_matrix< TParametersValueType >

Public Types inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
using	ConstPointer = SmartPointer< const Self >

using	DerivativeType = Array< ParametersValueType >

using	DirectionChangeMatrix = Matrix< double, Self::OutputSpaceDimension, Self::InputSpaceDimension >

using	FixedParametersType = OptimizerParameters< FixedParametersValueType >

using	FixedParametersValueType = double

using	InputCovariantVectorType = CovariantVector< TParametersValueType, VInputDimension >

using	InputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

using	InputDirectionMatrix = Matrix< double, Self::InputSpaceDimension, Self::InputSpaceDimension >

using	InputPointType = Point< TParametersValueType, VInputDimension >

using	InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VInputDimension >

using	InputVectorPixelType = VariableLengthVector< TParametersValueType >

using	InputVectorType = Vector< TParametersValueType, VInputDimension >

using	InputVnlVectorType = vnl_vector_fixed< TParametersValueType, VInputDimension >

using	InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = Transform< TParametersValueType, VOutputDimension, VInputDimension >

using	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >

using	JacobianType = Array2D< ParametersValueType >

using	MatrixType = Matrix< TParametersValueType, Self::OutputSpaceDimension, Self::InputSpaceDimension >

using	NumberOfParametersType = IdentifierType

using	OutputCovariantVectorType = CovariantVector< TParametersValueType, VOutputDimension >

using	OutputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

using	OutputDirectionMatrix = Matrix< double, Self::OutputSpaceDimension, Self::OutputSpaceDimension >

using	OutputPointType = Point< TParametersValueType, VOutputDimension >

using	OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VOutputDimension >

using	OutputVectorPixelType = VariableLengthVector< TParametersValueType >

using	OutputVectorType = Vector< TParametersValueType, VOutputDimension >

using	OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, VOutputDimension >

using	ParametersType = OptimizerParameters< ParametersValueType >

using	ParametersValueType = TParametersValueType

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = Transform

using	Superclass = TransformBaseTemplate< TParametersValueType >

using	TransformCategoryEnum = TransformBaseTemplateEnums::TransformCategory

Public Types inherited from TransformBaseTemplate< TParametersValueType >
using	ConstPointer = SmartPointer< const Self >

using	FixedParametersType = OptimizerParameters< FixedParametersValueType >

using	FixedParametersValueType = double

using	NumberOfParametersType = IdentifierType

using	ParametersType = OptimizerParameters< ParametersValueType >

using	ParametersValueType = TParametersValueType

using	Pointer = SmartPointer< Self >

using	Self = TransformBaseTemplate

using	Superclass = Object

using	TransformCategoryEnum = TransformBaseTemplateEnums::TransformCategory

using	TransformCategoryType = TransformCategoryEnum

Public Member Functions
const char *	GetNameOfClass () const override

Public Member Functions inherited from itk::KernelTransform< TParametersValueType, 3 >
void	ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override

void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianPositionType &) const override

void	ComputeWMatrix ()

const FixedParametersType &	GetFixedParameters () const override

virtual VectorSetType *	GetModifiableDisplacements ()

const char *	GetNameOfClass () const override

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

void	SetFixedParameters (const FixedParametersType &) override

void	SetParameters (const ParametersType &) override

OutputPointType	TransformPoint (const InputPointType &thisPoint) const override

OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const override

virtual void	UpdateParameters () const

virtual PointSetType *	GetModifiableSourceLandmarks ()

virtual void	SetSourceLandmarks (PointSetType *)

virtual PointSetType *	GetModifiableTargetLandmarks ()

virtual void	SetTargetLandmarks (PointSetType *)

OutputVectorType	TransformVector (const InputVectorType &) const override

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override

virtual void	SetStiffness (double _arg)

virtual double	GetStiffness () const

Public Member Functions inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
virtual void	ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const

void	CopyInFixedParameters (const FixedParametersValueType const begin, const FixedParametersValueType const end) override

void	CopyInParameters (const ParametersValueType const begin, const ParametersValueType const end) override

const FixedParametersType &	GetFixedParameters () const override

unsigned int	GetInputSpaceDimension () const override

bool	GetInverse (Self *) const

virtual InverseTransformBasePointer	GetInverseTransform () const

const char *	GetNameOfClass () const override

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () const

NumberOfParametersType	GetNumberOfParameters () const override

unsigned int	GetOutputSpaceDimension () const override

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

std::string	GetTransformTypeAsString () const override

virtual bool	IsLinear () const

	itkCloneMacro (Self)

void	SetFixedParameters (const FixedParametersType &) override=0

void	SetParameters (const ParametersType &) override=0

void	SetParametersByValue (const ParametersType &p) override

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &inputTensor, const InputPointType &point) const

virtual OutputPointType	TransformPoint (const InputPointType &) const=0

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual OutputVectorType	TransformVector (const InputVectorType &) const

virtual OutputVectorType	TransformVector (const InputVectorType &vector, const InputPointType &point) const

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const

virtual void	UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0)

template< typename TImage > std std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void >	ApplyToImageMetadata (SmartPointer< TImage > image) const

Public Member Functions inherited from TransformBaseTemplate< TParametersValueType >
virtual void	CopyInFixedParameters (const FixedParametersValueType const begin, const FixedParametersValueType const end)=0

virtual void	CopyInParameters (const ParametersValueType const begin, const ParametersValueType const end)=0

virtual const FixedParametersType &	GetFixedParameters () const =0

virtual unsigned int	GetInputSpaceDimension () const =0

virtual NumberOfParametersType	GetNumberOfParameters () const =0

virtual unsigned int	GetOutputSpaceDimension () const =0

virtual const ParametersType &	GetParameters () const =0

virtual TransformCategoryEnum	GetTransformCategory () const =0

virtual std::string	GetTransformTypeAsString () const =0

	ITK_DISALLOW_COPY_AND_MOVE (TransformBaseTemplate)

	itkGetConstReferenceMacro (InputSpaceName, std::string)

	itkGetConstReferenceMacro (OutputSpaceName, std::string)

	itkOverrideGetNameOfClassMacro (TransformBaseTemplate)

	itkSetMacro (InputSpaceName, std::string)

	itkSetMacro (OutputSpaceName, std::string)

virtual void	SetFixedParameters (const FixedParametersType &)=0

virtual void	SetParameters (const ParametersType &)=0

virtual void	SetParametersByValue (const ParametersType &p)=0

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::KernelTransform< TParametersValueType, 3 >
static Pointer	New ()

Static Public Attributes
static constexpr unsigned int	SpaceDimension = Superclass::SpaceDimension

Static Public Attributes inherited from itk::KernelTransform< TParametersValueType, 3 >
static constexpr unsigned int	SpaceDimension

Static Public Attributes inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
static constexpr unsigned int	InputSpaceDimension

static constexpr unsigned int	OutputSpaceDimension

Static Public Attributes inherited from TransformBaseTemplate< TParametersValueType >
static constexpr TransformCategoryEnum	BSpline = TransformCategoryEnum::BSpline

static constexpr TransformCategoryEnum	DisplacementField = TransformCategoryEnum::DisplacementField

static constexpr TransformCategoryEnum	Linear = TransformCategoryEnum::Linear

static constexpr TransformCategoryEnum	Spline = TransformCategoryEnum::Spline

static constexpr TransformCategoryEnum	UnknownTransformCategory = TransformCategoryEnum::UnknownTransformCategory

static constexpr TransformCategoryEnum	VelocityField = TransformCategoryEnum::VelocityField

Protected Member Functions
void	ComputeDeformationContribution (const InputPointType &thisPoint, OutputPointType &result) const override

void	ComputeG (const InputVectorType &x, GMatrixType &gmatrix) const override

	VolumeSplineKernelTransform ()=default

	~VolumeSplineKernelTransform () override=default

Protected Member Functions inherited from itk::KernelTransform< TParametersValueType, 3 >
void	ComputeD ()

virtual void	ComputeDeformationContribution (const InputPointType &thisPoint, OutputPointType &result) const

virtual void	ComputeG (const InputVectorType &landmarkVector, GMatrixType &gmatrix) const

void	ComputeK ()

void	ComputeL ()

void	ComputeP ()

virtual const GMatrixType &	ComputeReflexiveG (PointsIterator) const

void	ComputeY ()

	KernelTransform ()

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

void	ReorganizeW ()

	~KernelTransform () override=default

Protected Member Functions inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
LightObject::Pointer	InternalClone () const override

OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType &, const InverseJacobianPositionType &) const

	Transform ()=default

	Transform (NumberOfParametersType numberOfParameters)

	~Transform () override=default

Protected Member Functions inherited from TransformBaseTemplate< TParametersValueType >
	TransformBaseTemplate ()=default

	~TransformBaseTemplate () override=default

Additional Inherited Members
Public Attributes inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
InverseJacobianPositionType &jacobian	const

Static Protected Member Functions inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
static InverseTransformBasePointer	InvertTransform (const TTransform &transform)

Protected Attributes inherited from itk::KernelTransform< TParametersValueType, 3 >
AMatrixType	m_AMatrix

BMatrixType	m_BVector

VectorSetPointer	m_Displacements

DMatrixType	m_DMatrix

GMatrixType	m_GMatrix

IMatrixType	m_I

KMatrixType	m_KMatrix

LMatrixType	m_LMatrix

PMatrixType	m_PMatrix

PointSetPointer	m_SourceLandmarks

double	m_Stiffness

PointSetPointer	m_TargetLandmarks

WMatrixType	m_WMatrix

bool	m_WMatrixComputed

YMatrixType	m_YMatrix

Protected Attributes inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
FixedParametersType	m_FixedParameters

ParametersType	m_Parameters

Member Typedef Documentation

◆ ConstPointer

template<typename TParametersValueType , unsigned int VDimension = 3>

using itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >::ConstPointer = SmartPointer<const Self>

Definition at line 44 of file itkVolumeSplineKernelTransform.h.

◆ Pointer

template<typename TParametersValueType , unsigned int VDimension = 3>

using itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >::Pointer = SmartPointer<Self>

Definition at line 43 of file itkVolumeSplineKernelTransform.h.

◆ Self

template<typename TParametersValueType , unsigned int VDimension = 3>

using itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >::Self = VolumeSplineKernelTransform

Standard class type aliases.

Definition at line 41 of file itkVolumeSplineKernelTransform.h.

◆ Superclass

template<typename TParametersValueType , unsigned int VDimension = 3>

using itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >::Superclass = KernelTransform<TParametersValueType, VDimension>

Definition at line 42 of file itkVolumeSplineKernelTransform.h.

Constructor & Destructor Documentation

◆ VolumeSplineKernelTransform()

template<typename TParametersValueType , unsigned int VDimension = 3>

itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >::VolumeSplineKernelTransform ( )

protecteddefault

◆ ~VolumeSplineKernelTransform()

template<typename TParametersValueType , unsigned int VDimension = 3>

itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >::~VolumeSplineKernelTransform ( )

overrideprotecteddefault

Member Function Documentation

◆ ComputeDeformationContribution()

template<typename TParametersValueType , unsigned int VDimension = 3>

void itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >::ComputeDeformationContribution	(	const InputPointType &	thisPoint,
		OutputPointType &	result
	)		const

overrideprotectedvirtual

Compute the contribution of the landmarks weighted by the kernel function to the global deformation of the space

Reimplemented from itk::KernelTransform< TParametersValueType, 3 >.

◆ ComputeG()

template<typename TParametersValueType , unsigned int VDimension = 3>

void itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >::ComputeG	(	const InputVectorType &	x,
		GMatrixType &	gmatrix
	)		const

overrideprotectedvirtual

Compute G(x) For the volume plate spline, this is: G(x) = r(x)^3*I \( G(x) = r(x)^3*I \) where r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2]

\[ r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 } \]

I = identity matrix.

Reimplemented from itk::KernelTransform< TParametersValueType, 3 >.

◆ GetNameOfClass()

template<typename TParametersValueType , unsigned int VDimension = 3>

const char * itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >::GetNameOfClass ( ) const

override

See also: LightObject::GetNameOfClass()

◆ New()

template<typename TParametersValueType , unsigned int VDimension = 3>

static Pointer itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >::New ( )

static

New macro for creation of through a Smart Pointer

Member Data Documentation

◆ SpaceDimension

template<typename TParametersValueType , unsigned int VDimension = 3>

constexpr unsigned int itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >::SpaceDimension = Superclass::SpaceDimension

staticconstexpr

Dimension of the domain space.

Definition at line 65 of file itkVolumeSplineKernelTransform.h.

The documentation for this class was generated from the following file:

itkVolumeSplineKernelTransform.h

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Additional Inherited Members

Member Typedef Documentation

◆ ConstPointer

◆ Pointer

◆ Self

◆ Superclass

Constructor & Destructor Documentation

◆ VolumeSplineKernelTransform()

◆ ~VolumeSplineKernelTransform()

Member Function Documentation

◆ ComputeDeformationContribution()

◆ ComputeG()

◆ GetNameOfClass()

◆ New()

Member Data Documentation

◆ SpaceDimension