itk::PCADeformationModelTransform< TScalarType, NDimensions > Class Template Reference

PCA deformation model transformation. More...

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

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

Public Types
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
	itkStaticConstMacro (InputSpaceDimension, unsigned int, NDimensions)
	itkStaticConstMacro (OutputSpaceDimension, unsigned int, NDimensions)
virtual void	SetNumberOfComponents (unsigned int numberOfParameters)
void	SetFieldArray (unsigned int i, FieldType *field)
FieldType *	GetFieldArray (unsigned int i)
virtual FieldPointer	GetSingleDeformationField ()
	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
virtual OutputPointType	TransformPoint (const InputPointType &point) const
void	SetIdentity (void)
virtual bool	IsLinear () const
virtual void	Initialize () throw ( ExceptionObject )

Static Public Member Functions
static Pointer	New ()

Protected Member Functions
	PCADeformationModelTransform ()
virtual	~PCADeformationModelTransform ()
void	PrintSelf (std::ostream &os, Indent indent) const

Protected Attributes
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::PCADeformationModelTransform< TScalarType, NDimensions >

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 = T0+c1*T1+...+cN*TN where T0: mean deformation field Ti: ith eigen deformation field ci: parameter[i-1]

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:

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

Does not include rigid pose transformation!

Member Typedef Documentation

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

typedef SmartPointer<const Self> itk::PCADeformationModelTransform< TScalarType, NDimensions >::ConstPointer

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

typedef itk::ContinuousIndex<TScalarType,NDimensions> itk::PCADeformationModelTransform< TScalarType, NDimensions >::ContinuousIndexType

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

typedef FieldType::PixelType itk::PCADeformationModelTransform< TScalarType, NDimensions >::DisplacementType

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

typedef ImageRegionConstIterator<FieldType> itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldConstIterator

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

typedef FieldType::ConstPointer itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldConstPointer

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

typedef std::vector<FieldConstPointer> itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldConstPointerArray

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

typedef FieldType::IndexType itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldIndexType

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

typedef FieldInterpolatorType::Pointer itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldInterpolatorPointer

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

typedef std::vector<FieldInterpolatorPointer> itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldInterpolatorPointerArray

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

typedef VectorLinearInterpolateNearestNeighborExtrapolateImageFunction<FieldType, TScalarType> itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldInterpolatorType

Interpolator typedef support.

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

typedef ImageRegionIterator<FieldType> itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldIterator

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

typedef std::vector<FieldConstIterator> itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldIteratorArray

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

typedef FieldType::Pointer itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldPointer

Deformation field typedef support.

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

typedef std::vector<FieldPointer> itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldPointerArray

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

typedef FieldType::RegionType itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldRegionType

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

typedef FieldType::SizeType itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldSizeType

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

typedef itk::Image< VectorPixelType, NDimensions > itk::PCADeformationModelTransform< TScalarType, NDimensions >::FieldType

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

typedef CovariantVector<TScalarType, itkGetStaticConstMacro(SpaceDimension)> itk::PCADeformationModelTransform< TScalarType, NDimensions >::InputCovariantVectorType

Standard covariant vector type for this class.

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

typedef Point<TScalarType, itkGetStaticConstMacro(SpaceDimension)> itk::PCADeformationModelTransform< TScalarType, NDimensions >::InputPointType

Standard coordinate point type for this class.

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

typedef Vector<TScalarType, itkGetStaticConstMacro(SpaceDimension)> itk::PCADeformationModelTransform< TScalarType, NDimensions >::InputVectorType

Standard vector type for this class.

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

typedef vnl_vector_fixed<TScalarType, itkGetStaticConstMacro(SpaceDimension)> itk::PCADeformationModelTransform< TScalarType, NDimensions >::InputVnlVectorType

Standard vnl_vector type for this class.

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

typedef Superclass::JacobianType itk::PCADeformationModelTransform< TScalarType, NDimensions >::JacobianType

Jacobian type.

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

typedef CovariantVector<TScalarType, itkGetStaticConstMacro(SpaceDimension)> itk::PCADeformationModelTransform< TScalarType, NDimensions >::OutputCovariantVectorType

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

typedef Point<TScalarType, itkGetStaticConstMacro(SpaceDimension)> itk::PCADeformationModelTransform< TScalarType, NDimensions >::OutputPointType

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

typedef Vector<TScalarType, itkGetStaticConstMacro(SpaceDimension)> itk::PCADeformationModelTransform< TScalarType, NDimensions >::OutputVectorType

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

typedef vnl_vector_fixed<TScalarType, itkGetStaticConstMacro(SpaceDimension)> itk::PCADeformationModelTransform< TScalarType, NDimensions >::OutputVnlVectorType

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

typedef Superclass::ParametersType itk::PCADeformationModelTransform< TScalarType, NDimensions >::ParametersType

Parameters type.

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

typedef SmartPointer<Self> itk::PCADeformationModelTransform< TScalarType, NDimensions >::Pointer

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

typedef Superclass::ScalarType itk::PCADeformationModelTransform< TScalarType, NDimensions >::ScalarType

Scalar type.

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

typedef PCADeformationModelTransform itk::PCADeformationModelTransform< TScalarType, NDimensions >::Self

Standard class typedefs.

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

typedef Transform< TScalarType, NDimensions, NDimensions > itk::PCADeformationModelTransform< TScalarType, NDimensions >::Superclass

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

typedef itk::Vector< TScalarType, NDimensions > itk::PCADeformationModelTransform< TScalarType, NDimensions >::VectorPixelType

Local variable typedefs

Constructor & Destructor Documentation

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

itk::PCADeformationModelTransform< TScalarType, NDimensions >::PCADeformationModelTransform ( )

protected

Construct an PCADeformationModelTransform object.

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

virtual itk::PCADeformationModelTransform< TScalarType, NDimensions >::~PCADeformationModelTransform ( )

protectedvirtual

Destroy an PCADeformationModelTransform object.

Member Function Documentation

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

virtual void itk::PCADeformationModelTransform< TScalarType, NDimensions >::ComputeJacobianWithRespectToParameters ( const InputPointType &  point, JacobianType &  jacobian  ) const

virtual

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

virtual const char* itk::PCADeformationModelTransform< TScalarType, NDimensions >::GetClassName ( ) const

virtual

Run-time type information (and related methods).

Reimplemented in itk::RigidPCADeformationModelTransform< TScalarType, NDimensions >, and itk::TranslationPCADeformationModelTransform< TScalarType, NDimensions >.

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

FieldType* itk::PCADeformationModelTransform< TScalarType, NDimensions >::GetFieldArray ( unsigned int  i )

inline

Get the i'th Field

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

const ParametersType& itk::PCADeformationModelTransform< TScalarType, NDimensions >::GetFixedParameters

(

void

)

const

Get the Fixed Parameters.

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

virtual const JacobianType itk::PCADeformationModelTransform< TScalarType, NDimensions >::GetJacobian ( const InputPointType &  point ) const

virtual

Get the Jacobian matrix.

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

const ParametersType& itk::PCADeformationModelTransform< TScalarType, NDimensions >::GetParameters

(

void

)

const

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

virtual FieldPointer itk::PCADeformationModelTransform< TScalarType, NDimensions >::GetSingleDeformationField ( )

virtual

Get the deformation field corresponding to the current parameters

Reimplemented in itk::RigidPCADeformationModelTransform< TScalarType, NDimensions >, and itk::TranslationPCADeformationModelTransform< TScalarType, NDimensions >.

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

virtual void itk::PCADeformationModelTransform< TScalarType, NDimensions >::Initialize ( ) throw ( ExceptionObject )

virtual

Initialize must be called before the first call of Evaluate() to allow the class to validate any inputs.

Reimplemented in itk::RigidPCADeformationModelTransform< TScalarType, NDimensions >, and itk::TranslationPCADeformationModelTransform< TScalarType, NDimensions >.

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

virtual bool itk::PCADeformationModelTransform< TScalarType, NDimensions >::IsLinear ( ) const

inlinevirtual

Indicates that this transform is linear. That is, given two points P and Q, and scalar coefficients a and b, then

      T( a*P + b*Q ) = a * T(P) + b * T(Q)

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

itk::PCADeformationModelTransform< TScalarType, NDimensions >::itkStaticConstMacro	(	InputSpaceDimension	,
		unsigned	int,
		NDimensions
	)

Dimension of the domain space.

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

itk::PCADeformationModelTransform< TScalarType, NDimensions >::itkStaticConstMacro	(	OutputSpaceDimension	,
		unsigned	int,
		NDimensions
	)

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

itk::PCADeformationModelTransform< TScalarType, NDimensions >::itkStaticConstMacro	(	SpaceDimension	,
		unsigned	int,
		NDimensions
	)

Dimension of the domain space.

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

static Pointer itk::PCADeformationModelTransform< TScalarType, NDimensions >::New ( )

static

New macro for creation of through a smart pointer.

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

void itk::PCADeformationModelTransform< TScalarType, NDimensions >::PrintSelf ( std::ostream &  os, Indent  indent  ) const

protected

Print contents of an PCADeformationModelTransform

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

void itk::PCADeformationModelTransform< TScalarType, NDimensions >::SetFieldArray ( unsigned int  i, FieldType *  field  )

inline

Connect i'th field to Field Array

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

virtual void itk::PCADeformationModelTransform< TScalarType, NDimensions >::SetFixedParameters ( const ParametersType &  )

virtual

Set the fixed parameters and update internal transformation.

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

void itk::PCADeformationModelTransform< TScalarType, NDimensions >::SetIdentity ( void  )

inline

Set the transformation to an Identity

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

virtual void itk::PCADeformationModelTransform< TScalarType, NDimensions >::SetNumberOfComponents ( unsigned int  numberOfParameters )

virtual

Set the number of SDM components

Reimplemented in itk::RigidPCADeformationModelTransform< TScalarType, NDimensions >, and itk::TranslationPCADeformationModelTransform< TScalarType, NDimensions >.

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

void itk::PCADeformationModelTransform< TScalarType, NDimensions >::SetParameters

(

const ParametersType &

parameters

)

Set parameters. These are the coefficients for the eigen deformation fields

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

virtual OutputPointType itk::PCADeformationModelTransform< TScalarType, NDimensions >::TransformPoint ( const InputPointType &  point ) const

virtual

Transform by the PCA deformation model, returning the transformed point or vector.

Reimplemented in itk::RigidPCADeformationModelTransform< TScalarType, NDimensions >, and itk::TranslationPCADeformationModelTransform< TScalarType, NDimensions >.

Member Data Documentation

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

FieldPointerArray itk::PCADeformationModelTransform< TScalarType, NDimensions >::m_FieldArray

protected

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

FieldInterpolatorPointerArray itk::PCADeformationModelTransform< TScalarType, NDimensions >::m_Interpolators

protected

interpolator for field interpolation

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

TScalarType itk::PCADeformationModelTransform< TScalarType, NDimensions >::m_meanCoefficient

protected

Local storage variables

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

unsigned int itk::PCADeformationModelTransform< TScalarType, NDimensions >::m_NumberOfFields

protected

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

FieldPointer itk::PCADeformationModelTransform< TScalarType, NDimensions >::m_SingleField

protected

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The documentation for this class was generated from the following file:

• itkPCADeformationModelTransform.h