itk::ThinPlateSplineKernelTransform< TParametersValueType, VDimension > Class Template Reference

#include <itkThinPlateSplineKernelTransform.h>

Detailed Description

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

This class defines the thin plate spline (TPS) transformation. It is implemented in as straightforward a manner as possible from [30].

Examples

Examples/RegistrationITKv4/ThinPlateSplineWarp.cxx.

Definition at line 34 of file itkThinPlateSplineKernelTransform.h.

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

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

Public Types
using	ConstPointer = SmartPointer<const Self>
using	InputCovariantVectorType
using	InputPointType
using	InputVectorType
using	InverseJacobianPositionType
using	JacobianPositionType
using	JacobianType
using	OutputCovariantVectorType
using	OutputPointType
using	OutputVectorType
using	Pointer = SmartPointer<Self>
using	PointsIterator
using	ScalarType
using	Self = ThinPlateSplineKernelTransform
using	Superclass = KernelTransform<TParametersValueType, VDimension>
Public Types inherited from itk::KernelTransform< TParametersValueType, 3 >
using	AMatrixType
using	BMatrixType
using	ColumnMatrixType
using	ConstPointer
using	DMatrixType
using	GMatrixType
using	IMatrixType
typedef CovariantVector< TParametersValueType, VInputDimension >	InputCovariantVectorType
using	InputCovariantVectorType
typedef Point< TParametersValueType, VInputDimension >	InputPointType
using	InputPointType
typedef Vector< TParametersValueType, VInputDimension >	InputVectorType
using	InputVectorType
typedef vnl_vector_fixed< TParametersValueType, VInputDimension >	InputVnlVectorType
using	InputVnlVectorType
typedef vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >	InverseJacobianPositionType
using	InverseJacobianPositionType
typedef vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >	JacobianPositionType
using	JacobianPositionType
typedef Array2D< ParametersValueType >	JacobianType
using	JacobianType
using	KMatrixType
using	LMatrixType
typedef CovariantVector< TParametersValueType, VOutputDimension >	OutputCovariantVectorType
using	OutputCovariantVectorType
typedef Point< TParametersValueType, VOutputDimension >	OutputPointType
using	OutputPointType
typedef Vector< TParametersValueType, VOutputDimension >	OutputVectorType
using	OutputVectorType
typedef vnl_vector_fixed< TParametersValueType, VOutputDimension >	OutputVnlVectorType
using	OutputVnlVectorType
using	PMatrixType
using	Pointer
using	PointIdentifier
using	PointsConstIterator
using	PointsContainer
using	PointSetPointer
using	PointSetTraitsType
using	PointSetType
using	PointsIterator
using	RowMatrixType
typedef ParametersValueType	ScalarType
using	ScalarType
using	Self
using	Superclass
using	VectorSetPointer
using	VectorSetType
using	WMatrixType
using	YMatrixType
Public Types inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
using	ConstPointer
using	ConstPointer
using	DerivativeType
using	DerivativeType
using	DirectionChangeMatrix
using	DirectionChangeMatrix
typedef OptimizerParameters< FixedParametersValueType >	FixedParametersType
using	FixedParametersType
typedef double	FixedParametersValueType
using	FixedParametersValueType
using	InputCovariantVectorType
using	InputCovariantVectorType
using	InputDiffusionTensor3DType
using	InputDiffusionTensor3DType
using	InputDirectionMatrix
using	InputDirectionMatrix
using	InputPointType
using	InputPointType
using	InputSymmetricSecondRankTensorType
using	InputSymmetricSecondRankTensorType
using	InputVectorPixelType
using	InputVectorPixelType
using	InputVectorType
using	InputVectorType
using	InputVnlVectorType
using	InputVnlVectorType
using	InverseJacobianPositionType
using	InverseJacobianPositionType
using	InverseTransformBasePointer
using	InverseTransformBasePointer
using	InverseTransformBaseType
using	InverseTransformBaseType
using	JacobianPositionType
using	JacobianPositionType
using	JacobianType
using	JacobianType
using	MatrixType
using	MatrixType
typedef IdentifierType	NumberOfParametersType
using	NumberOfParametersType
using	OutputCovariantVectorType
using	OutputCovariantVectorType
using	OutputDiffusionTensor3DType
using	OutputDiffusionTensor3DType
using	OutputDirectionMatrix
using	OutputDirectionMatrix
using	OutputPointType
using	OutputPointType
using	OutputSymmetricSecondRankTensorType
using	OutputSymmetricSecondRankTensorType
using	OutputVectorPixelType
using	OutputVectorPixelType
using	OutputVectorType
using	OutputVectorType
using	OutputVnlVectorType
using	OutputVnlVectorType
typedef OptimizerParameters< ParametersValueType >	ParametersType
using	ParametersType
typedef TParametersValueType	ParametersValueType
using	ParametersValueType
using	Pointer
using	Pointer
using	ScalarType
using	ScalarType
using	Self
using	Self
using	Superclass
using	Superclass
typedef TransformBaseTemplateEnums::TransformCategory	TransformCategoryEnum
using	TransformCategoryEnum
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
virtual::itk::LightObject::Pointer	CreateAnother () const
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 ()
virtual::itk::LightObject::Pointer	CreateAnother () const
virtual const VectorSetType *	GetDisplacements () const
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
virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const
virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector) const
virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const
OutputPointType	TransformPoint (const InputPointType &thisPoint) const override
virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector) const
virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const
virtual OutputVectorType	TransformVector (const InputVectorType &vector, const InputPointType &point) const
OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const override
virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const
virtual void	UpdateParameters () const
virtual PointSetType *	GetModifiableSourceLandmarks ()
virtual const PointSetType *	GetSourceLandmarks () const
virtual void	SetSourceLandmarks (PointSetType *)
virtual PointSetType *	GetModifiableTargetLandmarks ()
virtual const PointSetType *	GetTargetLandmarks () const
virtual void	SetTargetLandmarks (PointSetType *)
OutputVectorType	TransformVector (const InputVectorType &) const override
virtual OutputVectorType	TransformVector (const InputVectorType &vector, const InputPointType &point) const
virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const
virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector) const
virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const
OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override
virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const
virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector) const
virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const
virtual void	SetStiffness (double _arg)
virtual double	GetStiffness () const
Public Member Functions inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &pnt, InverseJacobianPositionType &jacobian) const
virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &pnt, InverseJacobianPositionType &jacobian) const
virtual void	ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &cachedJacobian) const
virtual void	ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &cachedJacobian) const
void	CopyInFixedParameters (const FixedParametersValueType *const begin, const FixedParametersValueType *const end) override
void	CopyInFixedParameters (const FixedParametersValueType *const begin, const FixedParametersValueType *const end) override
void	CopyInParameters (const ParametersValueType *const begin, const ParametersValueType *const end) override
void	CopyInParameters (const ParametersValueType *const begin, const ParametersValueType *const end) override
const FixedParametersType &	GetFixedParameters () const override
const FixedParametersType &	GetFixedParameters () const override
unsigned int	GetInputSpaceDimension () const override
unsigned int	GetInputSpaceDimension () const override
bool	GetInverse (Self *inverseTransform) const
bool	GetInverse (Self *inverseTransform) const
virtual InverseTransformBasePointer	GetInverseTransform () const
virtual InverseTransformBasePointer	GetInverseTransform () const
const char *	GetNameOfClass () const override
const char *	GetNameOfClass () const override
virtual NumberOfParametersType	GetNumberOfFixedParameters () const
virtual NumberOfParametersType	GetNumberOfFixedParameters () const
virtual NumberOfParametersType	GetNumberOfLocalParameters () const
virtual NumberOfParametersType	GetNumberOfLocalParameters () const
NumberOfParametersType	GetNumberOfParameters () const override
NumberOfParametersType	GetNumberOfParameters () const override
unsigned int	GetOutputSpaceDimension () const override
unsigned int	GetOutputSpaceDimension () const override
const ParametersType &	GetParameters () const override
const ParametersType &	GetParameters () const override
TransformCategoryEnum	GetTransformCategory () const override
TransformCategoryEnum	GetTransformCategory () const override
std::string	GetTransformTypeAsString () const override
std::string	GetTransformTypeAsString () const override
virtual bool	IsLinear () const
virtual bool	IsLinear () const
	itkCloneMacro (Self)
	itkCloneMacro (Self)
void	SetParametersByValue (const ParametersType &p) override
void	SetParametersByValue (const ParametersType &p) override
virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &inputTensor, const InputPointType &point) const
virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &inputTensor, const InputPointType &point) const
virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const
virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const
virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &inputTensor, const InputPointType &point) const
virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &inputTensor, const InputPointType &point) const
virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor) const
virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor) const
virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor, const InputPointType &point) const
virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor, const InputPointType &point) const
virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor) const
virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor) const
virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor, const InputPointType &point) const
virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor, const InputPointType &point) const
virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor) const
virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor) const
virtual void	UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0)
virtual void	UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0)
std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void >	ApplyToImageMetadata (TImage *image) const
std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void >	ApplyToImageMetadata (SmartPointer< TImage > image) const
std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void >	ApplyToImageMetadata (TImage *image) const
std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void >	ApplyToImageMetadata (SmartPointer< TImage > image) const
Public Member Functions inherited from TransformBaseTemplate< TParametersValueType >
	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	InputSpaceDimension
static constexpr unsigned int	OutputSpaceDimension
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 Types
using	GMatrixType

Protected Member Functions
void	ComputeDeformationContribution (const InputPointType &thisPoint, OutputPointType &result) const override
void	ComputeG (const InputVectorType &x, GMatrixType &gmatrix) const override
	ThinPlateSplineKernelTransform ()=default
	~ThinPlateSplineKernelTransform () override=default
Protected Member Functions inherited from itk::KernelTransform< TParametersValueType, 3 >
void	ComputeD ()
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
LightObject::Pointer	InternalClone () const override
OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType &, const InverseJacobianPositionType &) const
OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType &, const InverseJacobianPositionType &) const
	Transform ()=default
	Transform ()=default
	Transform (NumberOfParametersType numberOfParameters)
	Transform (NumberOfParametersType numberOfParameters)
	~Transform () override=default
	~Transform () override=default
Protected Member Functions inherited from TransformBaseTemplate< TParametersValueType >
	TransformBaseTemplate ()=default
	~TransformBaseTemplate () override=default

Additional Inherited Members
Static Protected Member Functions inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
static InverseTransformBasePointer	InvertTransform (const TTransform &transform)
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
FixedParametersType	m_FixedParameters
ParametersType	m_Parameters
ParametersType	m_Parameters

Member Typedef Documentation

ConstPointer

template<typename TParametersValueType, unsigned int VDimension = 3>

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

Definition at line 43 of file itkThinPlateSplineKernelTransform.h.

GMatrixType

template<typename TParametersValueType, unsigned int VDimension = 3>

using itk::KernelTransform< TParametersValueType, VDimension >::GMatrixType

protected

'G' matrix type alias.

Definition at line 247 of file itkKernelTransform.h.

InputCovariantVectorType

template<typename TParametersValueType, unsigned int VDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputCovariantVectorType

Standard covariant vector type for this class

Definition at line 101 of file itkTransform.h.

InputPointType

template<typename TParametersValueType, unsigned int VDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputPointType

Standard coordinate point type for this class

Definition at line 93 of file itkTransform.h.

InputVectorType

template<typename TParametersValueType, unsigned int VDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputVectorType

Standard vector type for this class.

Definition at line 97 of file itkTransform.h.

InverseJacobianPositionType

template<typename TParametersValueType, unsigned int VDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InverseJacobianPositionType

Definition at line 87 of file itkTransform.h.

JacobianPositionType

template<typename TParametersValueType, unsigned int VDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::JacobianPositionType

Definition at line 86 of file itkTransform.h.

JacobianType

template<typename TParametersValueType, unsigned int VDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::JacobianType

Type of the Jacobian matrix.

Definition at line 85 of file itkTransform.h.

OutputCovariantVectorType

template<typename TParametersValueType, unsigned int VDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputCovariantVectorType

Definition at line 102 of file itkTransform.h.

OutputPointType

template<typename TParametersValueType, unsigned int VDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputPointType

Definition at line 94 of file itkTransform.h.

OutputVectorType

template<typename TParametersValueType, unsigned int VDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputVectorType

Definition at line 98 of file itkTransform.h.

Pointer

template<typename TParametersValueType, unsigned int VDimension = 3>

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

Definition at line 42 of file itkThinPlateSplineKernelTransform.h.

PointsIterator

template<typename TParametersValueType, unsigned int VDimension = 3>

using itk::KernelTransform< TParametersValueType, VDimension >::PointsIterator

Definition at line 119 of file itkKernelTransform.h.

ScalarType

template<typename TParametersValueType, unsigned int VDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::ScalarType

Type of the scalar representing coordinate and vector elements.

Definition at line 78 of file itkTransform.h.

Self

template<typename TParametersValueType, unsigned int VDimension = 3>

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

Standard class type aliases.

Definition at line 40 of file itkThinPlateSplineKernelTransform.h.

Superclass

template<typename TParametersValueType, unsigned int VDimension = 3>

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

Definition at line 41 of file itkThinPlateSplineKernelTransform.h.

Constructor & Destructor Documentation

ThinPlateSplineKernelTransform()

template<typename TParametersValueType, unsigned int VDimension = 3>

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

protecteddefault

Referenced by GetNameOfClass().

~ThinPlateSplineKernelTransform()

template<typename TParametersValueType, unsigned int VDimension = 3>

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

overrideprotecteddefault

Member Function Documentation

ComputeDeformationContribution()

template<typename TParametersValueType, unsigned int VDimension = 3>

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

overrideprotectedvirtual

Compute G(x) For the thin plate spline, this is: G(x) = r(x)*I \( G(x) = r(x)*I \) 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 >.

CreateAnother()

template<typename TParametersValueType, unsigned int VDimension = 3>

virtual::itk::LightObject::Pointer itk::ThinPlateSplineKernelTransform< TParametersValueType, VDimension >::CreateAnother

(

)

const

GetNameOfClass()

template<typename TParametersValueType, unsigned int VDimension = 3>

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

override

See also

LightObject::GetNameOfClass()

References TransformBaseTemplate< TParametersValueType >::itkOverrideGetNameOfClassMacro(), and ThinPlateSplineKernelTransform().

New()

template<typename TParametersValueType, unsigned int VDimension = 3>

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

static

New macro for creation of through a Smart Pointer

Member Data Documentation

SpaceDimension

template<typename TParametersValueType, unsigned int VDimension = 3>

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

staticconstexpr

Dimension of the domain space.

Definition at line 64 of file itkThinPlateSplineKernelTransform.h.

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

• itkThinPlateSplineKernelTransform.h