#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 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 Image < OutputVectorType, TimeVaryingVelocityFieldDimension >	TimeVaryingVelocityFieldType
typedef Transform< TScalar, NDimensions, NDimensions > ::Pointer	TransformPointer
Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) 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 ScalarType	GetUpperTimeBound () const
virtual bool	HasLocalSupport () const
virtual void	IntegrateVelocityField ()
virtual bool	IsLinear () const
virtual void	SetDisplacementField (DisplacementFieldType *_arg)
virtual void	SetFixedParameters (const ParametersType &)
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
DisplacementFieldType::Pointer	CopyDisplacementField (const DisplacementFieldType *toCopy) const
virtual LightObject::Pointer	InternalClone () const
void	PrintSelf (std::ostream &os, Indent indent) const
virtual void	SetFixedParametersFromTimeVaryingVelocityField ()
	TimeVaryingVelocityFieldTransform ()
virtual	~TimeVaryingVelocityFieldTransform ()
Protected Attributes
ScalarType	m_LowerTimeBound
unsigned int	m_NumberOfIntegrationSteps
TimeVaryingVelocityFieldType::Pointer	m_TimeVaryingVelocityField
TimeVaryingVelocityFieldInterpolatorPointer	m_TimeVaryingVelocityFieldInterpolator
ScalarType	m_UpperTimeBound
Private Member Functions
void	operator= (const Self &)
	TimeVaryingVelocityFieldTransform (const Self &)

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.