#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 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 (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
Static Public Member Functions
static Pointer	New ()
Static Public Attributes
static const unsigned int	Dimension = NDimensions
static const unsigned int	TimeVaryingVelocityFieldDimension = NDimensions+1
Protected Member Functions
void	PrintSelf (std::ostream &os, Indent indent) const
	TimeVaryingBSplineVelocityFieldTransform ()
virtual	~TimeVaryingBSplineVelocityFieldTransform ()
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

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.