Transform objects based on integration of a time-varying velocity field. More...

#include <itkTimeVaryingVelocityFieldTransform.h>

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

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

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::DerivativeType	DerivativeType
typedef TimeVaryingVelocityFieldType::DirectionType	DirectionType
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 ImageVectorOptimizerParametersHelper < ScalarType, OutputVectorType::Dimension, itkGetStaticConstMacro(Dimension)+1 >	OptimizerParametersHelperType
typedef Superclass::OutputPointType	OutputPointType
typedef Superclass::OutputVectorType	OutputVectorType
typedef Superclass::ParametersType	ParametersType
typedef ParametersType::ValueType	ParametersValueType
typedef SmartPointer< Self >	Pointer
typedef TimeVaryingVelocityFieldType::PointType	PointType
typedef Superclass::ScalarType	ScalarType
typedef TimeVaryingVelocityFieldTransform	Self
typedef TimeVaryingVelocityFieldType::SizeType	SizeType
typedef TimeVaryingVelocityFieldType::SpacingType	SpacingType
typedef DisplacementFieldTransform < TScalar, NDimensions >	Superclass
typedef TimeVaryingVelocityFieldInterpolatorType::Pointer	TimeVaryingVelocityFieldInterpolatorPointer
typedef VectorInterpolateImageFunction < TimeVaryingVelocityFieldType, ScalarType >	TimeVaryingVelocityFieldInterpolatorType
typedef TimeVaryingVelocityFieldType::Pointer	TimeVaryingVelocityFieldPointer
typedef Image < OutputVectorType, TimeVaryingVelocityFieldDimension >	TimeVaryingVelocityFieldType
Public Member Functions
virtual bool	GetIntegrateTimeVaryingVelocityField () const
bool	GetInverse (Self *inverse) const
virtual InverseTransformBasePointer	GetInverseTransform () const
virtual ScalarType	GetLowerTimeBound () const
virtual const char *	GetNameOfClass () const
virtual unsigned int	GetNumberOfIntegrationSteps () const
NumberOfParametersType	GetNumberOfLocalParameters () const
virtual TimeVaryingVelocityFieldType *	GetTimeVaryingVelocityField ()
virtual const TimeVaryingVelocityFieldInterpolatorType *	GetTimeVaryingVelocityFieldInterpolator ()
virtual unsigned long	GetTimeVaryingVelocityFieldSetTime () const
virtual ScalarType	GetUpperTimeBound () const
virtual bool	HasLocalSupport () const
virtual void	IntegrateTimeVaryingVelocityFieldOff ()
virtual void	IntegrateTimeVaryingVelocityFieldOn ()
virtual void	IntegrateVelocityField ()
virtual bool	IsLinear () const
virtual void	SetDisplacementField (DisplacementFieldType *_arg)
virtual void	SetFixedParameters (const ParametersType &)
virtual void	SetIntegrateTimeVaryingVelocityField (bool _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)
virtual void	UpdateTransformParameters (DerivativeType &, ScalarType factor=1.0)
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
	TimeVaryingVelocityFieldTransform ()
virtual	~TimeVaryingVelocityFieldTransform ()
Private Member Functions
void	operator= (const Self &)
	TimeVaryingVelocityFieldTransform (const Self &)
Private Attributes
bool	m_IntegrateTimeVaryingVelocityField
ScalarType	m_LowerTimeBound
unsigned int	m_NumberOfIntegrationSteps
TimeVaryingVelocityFieldType::Pointer	m_TimeVaryingVelocityField
TimeVaryingVelocityFieldInterpolatorPointer	m_TimeVaryingVelocityFieldInterpolator
unsigned long	m_TimeVaryingVelocityFieldSetTime
ScalarType	m_UpperTimeBound

Detailed Description

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

Transform objects based on integration of a time-varying velocity field.

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 first-order differential equation:

$v(\phi(x,t), t) = \frac{d\phi(x, t)}{dt}, \phi(x, 0) = x$

In this class, the input is the time-varying velocity field. The output diffeomorphism is produced using fourth order Runge-Kutta.

Warning:: The output deformation field needs to have dimensionality of 1 less than the input time-varying velocity field. It is assumed that the last dimension of the time-varying velocity field corresponds to Time, and the other dimensions represent Space.

Author:: Nick Tustison; Brian Avants

Definition at line 56 of file itkTimeVaryingVelocityFieldTransform.h.