#include <itkTimeVaryingBSplineVelocityFieldTransform.h>

Inheritance diagram for itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >:

Collaboration diagram for itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >:

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::DerivativeType	DerivativeType
typedef Superclass::DisplacementFieldType	DisplacementFieldControlPointLatticeType
typedef DisplacementFieldType::DirectionType	DisplacementFieldDirectionType
typedef DisplacementFieldType::PointType	DisplacementFieldPointType
typedef DisplacementFieldType::SizeType	DisplacementFieldSizeType
typedef DisplacementFieldType::SpacingType	DisplacementFieldSpacingType
typedef Superclass::DisplacementFieldType	DisplacementFieldType
typedef DisplacementFieldType::PixelType	DisplacementVectorType
typedef Superclass::InputPointType	InputPointType
typedef Superclass::InputVectorType	InputVectorType
typedef Superclass::InverseTransformBasePointer	InverseTransformBasePointer
typedef Superclass::JacobianType	JacobianType
typedef Superclass::NumberOfParametersType	NumberOfParametersType
typedef Superclass::OutputPointType	OutputPointType
typedef Superclass::OutputVectorType	OutputVectorType
typedef Superclass::ParametersType	ParametersType
typedef ParametersType::ValueType	ParametersValueType
typedef SmartPointer< Self >	Pointer
typedef Superclass::ScalarType	ScalarType
typedef TimeVaryingBSplineVelocityFieldTransform	Self
typedef TimeVaryingVelocityFieldTransform < TScalar, NDimensions >	Superclass
typedef TimeVaryingVelocityFieldControlPointLatticeType::Pointer	TimeVaryingVelocityFieldControlPointLatticePointer
typedef Image < OutputVectorType, TimeVaryingVelocityFieldDimension >	TimeVaryingVelocityFieldControlPointLatticeType
typedef TimeVaryingVelocityFieldControlPointLatticeType	TimeVaryingVelocityFieldType
typedef TimeVaryingVelocityFieldControlPointLatticeType::DirectionType	VelocityFieldDirectionType
typedef TimeVaryingVelocityFieldControlPointLatticeType::PointType	VelocityFieldPointType
typedef TimeVaryingVelocityFieldControlPointLatticeType::SizeType	VelocityFieldSizeType
typedef TimeVaryingVelocityFieldControlPointLatticeType::SpacingType	VelocityFieldSpacingType
Public Types inherited from itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >
typedef TimeVaryingVelocityFieldType::DirectionType	DirectionType
typedef ImageVectorOptimizerParametersHelper < ScalarType, OutputVectorType::Dimension, itkGetStaticConstMacro(Dimension)+1 >	OptimizerParametersHelperType
typedef TimeVaryingVelocityFieldType::PointType	PointType
typedef TimeVaryingVelocityFieldType::SizeType	SizeType
typedef TimeVaryingVelocityFieldType::SpacingType	SpacingType
typedef TimeVaryingVelocityFieldType::DirectionType	TimeVaryingVelocityFieldDirectionType
typedef TimeVaryingVelocityFieldInterpolatorType::Pointer	TimeVaryingVelocityFieldInterpolatorPointer
typedef VectorInterpolateImageFunction < TimeVaryingVelocityFieldType, ScalarType >	TimeVaryingVelocityFieldInterpolatorType
typedef TimeVaryingVelocityFieldType::Pointer	TimeVaryingVelocityFieldPointer
typedef TimeVaryingVelocityFieldType::PointType	TimeVaryingVelocityFieldPointType
typedef TimeVaryingVelocityFieldType::SpacingType	TimeVaryingVelocityFieldSpacingType
typedef Transform< TScalar, NDimensions, NDimensions > ::Pointer	TransformPointer
Public Types inherited from itk::DisplacementFieldTransform< TScalar, NDimensions >
typedef DisplacementFieldType::Pointer	DisplacementFieldPointer
typedef DisplacementFieldType::IndexType	IndexType
typedef Superclass::InputCovariantVectorType	InputCovariantVectorType
typedef Superclass::InputDiffusionTensor3DType	InputDiffusionTensor3DType
typedef CovariantVector < ScalarType, InputDiffusionTensor3DType::Dimension >	InputTensorEigenVectorType
typedef Superclass::InputVectorPixelType	InputVectorPixelType
typedef Superclass::InputVnlVectorType	InputVnlVectorType
typedef VectorInterpolateImageFunction < DisplacementFieldType, ScalarType >	InterpolatorType
typedef Superclass::OutputCovariantVectorType	OutputCovariantVectorType
typedef Superclass::OutputDiffusionTensor3DType	OutputDiffusionTensor3DType
typedef CovariantVector < ScalarType, OutputDiffusionTensor3DType::Dimension >	OutputTensorEigenVectorType
typedef Superclass::OutputVectorPixelType	OutputVectorPixelType
typedef Superclass::OutputVnlVectorType	OutputVnlVectorType
typedef DisplacementFieldType::PixelType	PixelType
typedef DisplacementFieldType::RegionType	RegionType
Public Types inherited from itk::Transform< TScalar, NDimensions, NDimensions >
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	DirectionChangeMatrix
typedef Matrix< double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	InputDirectionMatrix
typedef SymmetricSecondRankTensor < TScalar, NInputDimensions >	InputSymmetricSecondRankTensorType
typedef Transform< TScalar, NOutputDimensions, NInputDimensions >	InverseTransformBaseType
typedef Matrix< TScalar, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	MatrixType
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)>	OutputDirectionMatrix
typedef SymmetricSecondRankTensor < TScalar, NOutputDimensions >	OutputSymmetricSecondRankTensorType
Public Types inherited from itk::TransformBase
Public Types inherited from itk::Object
Public Types inherited from itk::LightObject

Public Member Functions
bool	GetInverse (Self *inverse) const
virtual InverseTransformBasePointer	GetInverseTransform () const
virtual const char *	GetNameOfClass () const
virtual TimeVaryingVelocityFieldControlPointLatticeType *	GetTimeVaryingVelocityFieldControlPointLattice ()
virtual void	IntegrateVelocityField ()
virtual void	SetFixedParameters (const ParametersType &)
virtual void	SetTimeVaryingVelocityFieldControlPointLattice (TimeVaryingVelocityFieldControlPointLatticeType *)
virtual void	UpdateTransformParameters (const DerivativeType &update, ScalarType factor=1.0)

virtual void	SetSplineOrder (unsigned int _arg)
virtual unsigned int	GetSplineOrder () const

virtual void	SetTemporalPeriodicity (bool _arg)
virtual bool	GetTemporalPeriodicity () const
virtual void	TemporalPeriodicityOn ()
virtual void	TemporalPeriodicityOff ()

virtual void	SetVelocityFieldOrigin (VelocityFieldPointType _arg)
virtual VelocityFieldPointType	GetVelocityFieldOrigin () const

virtual void	SetVelocityFieldSpacing (VelocityFieldSpacingType _arg)
virtual VelocityFieldSpacingType	GetVelocityFieldSpacing () const

virtual void	SetVelocityFieldSize (VelocityFieldSizeType _arg)
virtual VelocityFieldSizeType	GetVelocityFieldSize () const

virtual void	SetVelocityFieldDirection (VelocityFieldDirectionType _arg)
virtual VelocityFieldDirectionType	GetVelocityFieldDirection () const
Public Member Functions inherited from itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
virtual ScalarType	GetLowerTimeBound () const
virtual unsigned int	GetNumberOfIntegrationSteps () const
NumberOfParametersType	GetNumberOfLocalParameters () const
virtual TimeVaryingVelocityFieldType *	GetTimeVaryingVelocityField ()
virtual const TimeVaryingVelocityFieldInterpolatorType *	GetTimeVaryingVelocityFieldInterpolator ()
virtual ScalarType	GetUpperTimeBound () const
virtual bool	HasLocalSupport () const
virtual bool	IsLinear () const
virtual void	SetDisplacementField (DisplacementFieldType *_arg)
virtual void	SetLowerTimeBound (ScalarType _arg)
virtual void	SetNumberOfIntegrationSteps (unsigned int _arg)
virtual void	SetParameters (const ParametersType &)
virtual void	SetTimeVaryingVelocityField (TimeVaryingVelocityFieldType *)
virtual void	SetTimeVaryingVelocityFieldInterpolator (TimeVaryingVelocityFieldInterpolatorType *_arg)
virtual void	SetUpperTimeBound (ScalarType _arg)
Public Member Functions inherited from itk::DisplacementFieldTransform< TScalar, NDimensions >
virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &j) const
virtual void	ComputeJacobianWithRespectToParameters (const IndexType &, JacobianType &j) const
virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &x, JacobianType &j) const
virtual void	ComputeJacobianWithRespectToPosition (const IndexType &x, JacobianType &j) const
virtual DisplacementFieldType *	GetDisplacementField ()
virtual const unsigned long &	GetDisplacementFieldSetTime ()
virtual void	GetInverseJacobianOfForwardFieldWithRespectToPosition (const InputPointType &point, JacobianType &jacobian, bool useSVD=false) const
virtual void	GetInverseJacobianOfForwardFieldWithRespectToPosition (const IndexType &index, JacobianType &jacobian, bool useSVD=false) const
virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const
OutputVectorPixelType	TransformDiffusionTensor (const InputVectorPixelType &) const
virtual OutputPointType	TransformPoint (const InputPointType &thisPoint) const
virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const
virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const
virtual void	UpdateTransformParameters (const DerivativeType &update, ScalarType factor=1.0)
virtual DisplacementFieldType *	GetInverseDisplacementField ()
virtual void	SetInverseDisplacementField (DisplacementFieldType *inverseDisplacementField)
virtual InterpolatorType *	GetInterpolator ()
virtual void	SetInterpolator (InterpolatorType *interpolator)
virtual OutputVectorType	TransformVector (const InputVectorType &) const
OutputDiffusionTensor3DType	TransformDiffusionTensor (const InputDiffusionTensor3DType &) const
virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const
virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &j) const
Public Member Functions inherited from itk::Transform< TScalar, NDimensions, NDimensions >
virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jacobian) const
virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
virtual const ParametersType &	GetFixedParameters (void) const
unsigned int	GetInputSpaceDimension (void) const
virtual NumberOfParametersType	GetNumberOfParameters (void) const
unsigned int	GetOutputSpaceDimension (void) const
virtual const ParametersType &	GetParameters (void) const
virtual std::string	GetTransformTypeAsString () const
	itkCloneMacro (Self)
virtual void	SetParametersByValue (const ParametersType &p)
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 &tensor, const InputPointType &point) const
virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const
virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor, const InputPointType &point) const
virtual OutputPointType	TransformPoint (const InputPointType &) const =0
virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor, const InputPointType &point) const
virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const
virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const
virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor, 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 OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const
virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const
virtual void	UpdateTransformParameters (const DerivativeType &update, TScalarfactor=1.0)
virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const

Static Public Member Functions
static Pointer	New ()

Static Public Attributes
static const unsigned int	Dimension = NDimensions
static const unsigned int	TimeVaryingVelocityFieldDimension = NDimensions+1
Static Public Attributes inherited from itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >
Static Public Attributes inherited from itk::DisplacementFieldTransform< TScalar, NDimensions >
Static Public Attributes inherited from itk::Transform< TScalar, NDimensions, NDimensions >
static const unsigned int	InputSpaceDimension
static const unsigned int	OutputSpaceDimension

Protected Member Functions
void	PrintSelf (std::ostream &os, Indent indent) const
	TimeVaryingBSplineVelocityFieldTransform ()
virtual	~TimeVaryingBSplineVelocityFieldTransform ()
Protected Member Functions inherited from itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >
DisplacementFieldType::Pointer	CopyDisplacementField (const DisplacementFieldType *toCopy) const
virtual LightObject::Pointer	InternalClone () const
virtual void	SetFixedParametersFromTimeVaryingVelocityField ()
	TimeVaryingVelocityFieldTransform ()
virtual	~TimeVaryingVelocityFieldTransform ()
Protected Member Functions inherited from itk::DisplacementFieldTransform< TScalar, NDimensions >
	DisplacementFieldTransform ()
virtual	~DisplacementFieldTransform ()
Protected Member Functions inherited from itk::Transform< TScalar, NDimensions, NDimensions >
OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const
	Transform ()
	Transform (NumberOfParametersType NumberOfParameters)
virtual	~Transform ()
Protected Member Functions inherited from itk::TransformBase
	TransformBase ()
virtual	~TransformBase ()
Protected Member Functions inherited from itk::Object
	Object ()
bool	PrintObservers (std::ostream &os, Indent indent) const
virtual void	SetTimeStamp (const TimeStamp &time)
virtual	~Object ()
Protected Member Functions inherited from itk::LightObject
	LightObject ()
virtual void	PrintHeader (std::ostream &os, Indent indent) const
virtual void	PrintTrailer (std::ostream &os, Indent indent) const
virtual	~LightObject ()

Private Member Functions
void	operator= (const Self &)
	TimeVaryingBSplineVelocityFieldTransform (const Self &)

Private Attributes
unsigned int	m_SplineOrder
bool	m_TemporalPeriodicity
TimeVaryingVelocityFieldControlPointLatticePointer	m_TimeVaryingVelocityFieldControlPointLattice
VelocityFieldDirectionType	m_VelocityFieldDirection
VelocityFieldPointType	m_VelocityFieldOrigin
VelocityFieldSizeType	m_VelocityFieldSize
VelocityFieldSpacingType	m_VelocityFieldSpacing

Additional Inherited Members
Protected Attributes inherited from itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >
ScalarType	m_LowerTimeBound
unsigned int	m_NumberOfIntegrationSteps
TimeVaryingVelocityFieldType::Pointer	m_TimeVaryingVelocityField
TimeVaryingVelocityFieldInterpolatorPointer	m_TimeVaryingVelocityFieldInterpolator
ScalarType	m_UpperTimeBound
Protected Attributes inherited from itk::DisplacementFieldTransform< TScalar, NDimensions >
DisplacementFieldType::Pointer	m_DisplacementField
unsigned long	m_DisplacementFieldSetTime
InterpolatorType::Pointer	m_Interpolator
DisplacementFieldType::Pointer	m_InverseDisplacementField
JacobianType	m_IdentityJacobian
Protected Attributes inherited from itk::Transform< TScalar, NDimensions, NDimensions >
DirectionChangeMatrix	m_DirectionChange
ParametersType	m_FixedParameters
ParametersType	m_Parameters

Detailed Description

template<class TScalar, unsigned int NDimensions>
class itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >

Integrate a time-varying velocity field represented by a B-spline control point lattice.

Diffeomorphisms are topology-preserving mappings that are useful for describing biologically plausible deformations. Mathematically, a diffeomorphism, $\phi$ , is generated from a time-varying velocity field, v, as described by the integral equation:

$\phi(t_b) = \phi(t_a) + \int_{t_a}^{t_b} v(\phi(t),t) dt$

In typical registration applications it is computationally more efficient to sample the B-spline transform to its corresponding displacement field. Therefore, the user needs to specify the domain parameters of that displacement field using the following functions:

SetDisplacementFieldSpacing()
SetDisplacementFieldOrigin()
SetDisplacementFieldSize()
SetDisplacementFieldDirection()

It's important that these parameters match up with the fixed parameters of this transform which are defined as the parameters of the (N+1)-D B-spline grid representing the continuous velocity field. This control point lattice is set using SetTimeVaryingVelocityFieldControlPointLattice() or it can be created by setting the fixed parameters.

Author:: Nick Tustison; Brian Avants

Definition at line 63 of file itkTimeVaryingBSplineVelocityFieldTransform.h.