Translation + PCA deformation model transformation. More...

Inheritance diagram for itk::TranslationPCADeformationModelTransform< TScalarType, NDimensions >:

Collaboration diagram for itk::TranslationPCADeformationModelTransform< TScalarType, NDimensions >:

Public Types
typedef TranslationPCADeformationModelTransform	Self

typedef PCADeformationModelTransform < TScalarType, NDimensions >	Superclass

typedef SmartPointer< Self >	Pointer

typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::VectorPixelType	VectorPixelType

typedef Superclass::FieldType	FieldType

typedef Superclass::DisplacementType	DisplacementType

typedef Superclass::FieldPointer	FieldPointer

typedef Superclass::FieldConstPointer	FieldConstPointer

typedef Superclass::FieldIterator	FieldIterator

typedef Superclass::FieldConstIterator	FieldConstIterator

typedef Superclass::FieldConstPointerArray	FieldConstPointerArray

typedef Superclass::FieldPointerArray	FieldPointerArray

typedef Superclass::FieldIteratorArray	FieldIteratorArray

typedef Superclass::ContinuousIndexType	ContinuousIndexType

typedef Superclass::FieldIndexType	FieldIndexType

typedef Superclass::FieldRegionType	FieldRegionType

typedef Superclass::FieldSizeType	FieldSizeType

typedef Superclass::FieldInterpolatorType	FieldInterpolatorType

typedef Superclass::FieldInterpolatorPointer	FieldInterpolatorPointer

typedef Superclass::FieldInterpolatorPointerArray	FieldInterpolatorPointerArray

typedef Superclass::ScalarType	ScalarType

typedef Superclass::ParametersType	ParametersType

typedef Superclass::JacobianType	JacobianType

typedef Superclass::InputVectorType	InputVectorType

typedef Superclass::OutputVectorType	OutputVectorType

typedef Superclass::InputCovariantVectorType	InputCovariantVectorType

typedef Superclass::OutputCovariantVectorType	OutputCovariantVectorType

typedef Superclass::InputVnlVectorType	InputVnlVectorType

typedef Superclass::OutputVnlVectorType	OutputVnlVectorType

typedef Superclass::InputPointType	InputPointType

typedef Superclass::OutputPointType	OutputPointType

Public Types inherited from itk::PCADeformationModelTransform< TScalarType, NDimensions >
typedef PCADeformationModelTransform	Self

typedef Transform< TScalarType, NDimensions, NDimensions >	Superclass

typedef SmartPointer< Self >	Pointer

typedef SmartPointer< const Self >	ConstPointer

typedef itk::Vector < TScalarType, NDimensions >	VectorPixelType

typedef itk::Image < VectorPixelType, NDimensions >	FieldType

typedef FieldType::PixelType	DisplacementType

typedef FieldType::Pointer	FieldPointer

typedef FieldType::ConstPointer	FieldConstPointer

typedef ImageRegionIterator < FieldType >	FieldIterator

typedef ImageRegionConstIterator < FieldType >	FieldConstIterator

typedef std::vector < FieldConstPointer >	FieldConstPointerArray

typedef std::vector< FieldPointer >	FieldPointerArray

typedef std::vector < FieldConstIterator >	FieldIteratorArray

typedef itk::ContinuousIndex < TScalarType, NDimensions >	ContinuousIndexType

typedef FieldType::IndexType	FieldIndexType

typedef FieldType::RegionType	FieldRegionType

typedef FieldType::SizeType	FieldSizeType

typedef VectorLinearInterpolateNearestNeighborExtrapolateImageFunction < FieldType, TScalarType >	FieldInterpolatorType

typedef FieldInterpolatorType::Pointer	FieldInterpolatorPointer

typedef std::vector < FieldInterpolatorPointer >	FieldInterpolatorPointerArray

typedef Superclass::ScalarType	ScalarType

typedef Superclass::ParametersType	ParametersType

typedef Superclass::JacobianType	JacobianType

typedef Vector< TScalarType, itkGetStaticConstMacro(SpaceDimension)>	InputVectorType

typedef Vector< TScalarType, itkGetStaticConstMacro(SpaceDimension)>	OutputVectorType

typedef CovariantVector < TScalarType, itkGetStaticConstMacro(SpaceDimension)>	InputCovariantVectorType

typedef CovariantVector < TScalarType, itkGetStaticConstMacro(SpaceDimension)>	OutputCovariantVectorType

typedef vnl_vector_fixed < TScalarType, itkGetStaticConstMacro(SpaceDimension)>	InputVnlVectorType

typedef vnl_vector_fixed < TScalarType, itkGetStaticConstMacro(SpaceDimension)>	OutputVnlVectorType

typedef Point< TScalarType, itkGetStaticConstMacro(SpaceDimension)>	InputPointType

typedef Point< TScalarType, itkGetStaticConstMacro(SpaceDimension)>	OutputPointType

Public Member Functions
virtual const char *	GetClassName () const

virtual void	SetNumberOfComponents (unsigned int numberOfComponents)

virtual FieldPointer	GetSingleDeformationField ()

	itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)

virtual OutputPointType	TransformPoint (const InputPointType &point) const

virtual void	Initialize () throw ( ExceptionObject )

Public Member Functions inherited from itk::PCADeformationModelTransform< TScalarType, NDimensions >
	itkStaticConstMacro (InputSpaceDimension, unsigned int, NDimensions)

	itkStaticConstMacro (OutputSpaceDimension, unsigned int, NDimensions)

void	SetFieldArray (unsigned int i, FieldType *field)

FieldType *	GetFieldArray (unsigned int i)

	itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)

void	SetParameters (const ParametersType &parameters)

const ParametersType &	GetParameters (void) const

virtual void	SetFixedParameters (const ParametersType &)

const ParametersType &	GetFixedParameters (void) const

virtual const JacobianType	GetJacobian (const InputPointType &point) const

virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &point, JacobianType &jacobian) const

void	SetIdentity (void)

virtual bool	IsLinear () const

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::PCADeformationModelTransform< TScalarType, NDimensions >
static Pointer	New ()

Protected Member Functions
	TranslationPCADeformationModelTransform ()

virtual	~TranslationPCADeformationModelTransform ()

void	PrintSelf (std::ostream &os, Indent indent) const

Protected Member Functions inherited from itk::PCADeformationModelTransform< TScalarType, NDimensions >
	PCADeformationModelTransform ()

virtual	~PCADeformationModelTransform ()

void	PrintSelf (std::ostream &os, Indent indent) const

Additional Inherited Members
Protected Attributes inherited from itk::PCADeformationModelTransform< TScalarType, NDimensions >
TScalarType	m_meanCoefficient

unsigned int	m_NumberOfFields

FieldPointerArray	m_FieldArray

FieldPointer	m_SingleField

FieldInterpolatorPointerArray	m_Interpolators

Detailed Description

template<class TScalarType = float, unsigned int NDimensions = 3>
class itk::TranslationPCADeformationModelTransform< TScalarType, NDimensions >

Translation + PCA deformation model transformation.

Transformation model based on the resulting deformation fields (mean field and N eigen fields) of a PCA analysis of training deformation fields. The eigen deformation fields are assumed to be rescaled such that they represent 1 standard deviation.

The N coefficients scaling the eigen fields are the free N free parameters, i.e. T(x) = x + T0(x) + c1*T1(x) + ... + cN*TN(x) + t where T0(x): mean deformation field Ti(x): ith eigen deformation field ci: parameter[i-1] t: translation parameters t_x, t_y, t_z

A deformation field is represented as a image whose pixel type is some vector type with at least N elements, where N is the dimension of the input image. The vector type must support element access via operator [].

The output image is produced by inverse mapping: the output pixels are mapped back onto the input image. This scheme avoids the creation of any holes and overlaps in the output image.

Each vector in the deformation field represent the distance between a geometric point in the input space and a point in the output space such that:

$p_{in} = p_{out} + d$

Assumes all displacement fields have same size, region and spacing. Uses nearest neighbour interpolation of displacement field.