#include <itkPCAShapeSignedDistanceFunction.h>

Inheritance diagram for itk::PCAShapeSignedDistanceFunction< TCoordRep, VSpaceDimension, TImage >:

Collaboration diagram for itk::PCAShapeSignedDistanceFunction< TCoordRep, VSpaceDimension, TImage >:

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::CoordRepType	CoordRepType
typedef ExtrapolatorType::Pointer	ExtrapolatorPointer
typedef std::vector < ExtrapolatorPointer >	ExtrapolatorPointerVector
typedef ExtrapolateImageFunction < ImageType, CoordRepType >	ExtrapolatorType
typedef FunctionType::Pointer	FunctionPointer
typedef std::vector < FunctionPointer >	FunctionPointerVector
typedef ImageFunction < ImageType, double, CoordRepType >	FunctionType
typedef ImageType::Pointer	ImagePointer
typedef std::vector< ImagePointer >	ImagePointerVector
typedef TImage	ImageType
typedef Superclass::InputType	InputType
typedef InterpolatorType::Pointer	InterpolatorPointer
typedef std::vector < InterpolatorPointer >	InterpolatorPointerVector
typedef InterpolateImageFunction < ImageType, CoordRepType >	InterpolatorType
typedef Superclass::OutputType	OutputType
typedef Superclass::ParametersType	ParametersType
typedef SmartPointer< Self >	Pointer
typedef Superclass::PointType	PointType
typedef PCAShapeSignedDistanceFunction	Self
typedef ShapeSignedDistanceFunction < TCoordRep, VSpaceDimension >	Superclass
typedef Transform < CoordRepType, itkGetStaticConstMacro(SpaceDimension), itkGetStaticConstMacro(SpaceDimension) >	TransformType
Public Types inherited from itk::ShapeSignedDistanceFunction< TCoordRep, VSpaceDimension >
Public Types inherited from itk::SpatialFunction< double, VSpaceDimension, Point< TCoordRep, VSpaceDimension > >
Public Types inherited from itk::FunctionBase< Point< TCoordRep, VSpaceDimension >, double >
Public Types inherited from itk::Object
Public Types inherited from itk::LightObject

Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
virtual OutputType	Evaluate (const PointType &point) const
virtual const char *	GetNameOfClass () const
virtual unsigned int	GetNumberOfPoseParameters (void) const
virtual unsigned int	GetNumberOfPrincipalComponents () const
virtual unsigned int	GetNumberOfShapeParameters (void) const
virtual void	Initialize () throw ( ExceptionObject )
void	SetNumberOfPrincipalComponents (unsigned int n)
virtual void	SetParameters (const ParametersType &)

virtual void	SetMeanImage (ImageType *_arg)
virtual ImageType *	GetMeanImage ()

void	SetPrincipalComponentImages (ImagePointerVector v)

virtual void	SetPrincipalComponentStandardDeviations (ParametersType _arg)
virtual ParametersType	GetPrincipalComponentStandardDeviations () const

virtual void	SetTransform (TransformType *_arg)
virtual TransformType *	GetTransform ()
Public Member Functions inherited from itk::ShapeSignedDistanceFunction< TCoordRep, VSpaceDimension >
virtual OutputType	Evaluate (const PointType &point) const =0
virtual unsigned int	GetNumberOfParameters (void) const
virtual ParametersType &	GetParameters (void)
virtual void	SetParameters (const ParametersType &)=0
Public Member Functions inherited from itk::SpatialFunction< double, VSpaceDimension, Point< TCoordRep, VSpaceDimension > >
virtual OutputType	Evaluate (const InputType &input) const =0

Static Public Member Functions
static Pointer	New ()

Static Public Attributes
static const unsigned int	SpaceDimension = Superclass::SpaceDimension
Static Public Attributes inherited from itk::ShapeSignedDistanceFunction< TCoordRep, VSpaceDimension >
Static Public Attributes inherited from itk::SpatialFunction< double, VSpaceDimension, Point< TCoordRep, VSpaceDimension > >
static const unsigned int	ImageDimension

Protected Member Functions
	PCAShapeSignedDistanceFunction ()
void	PrintSelf (std::ostream &os, Indent indent) const
	~PCAShapeSignedDistanceFunction ()
Protected Member Functions inherited from itk::ShapeSignedDistanceFunction< TCoordRep, VSpaceDimension >
	ShapeSignedDistanceFunction ()
	~ShapeSignedDistanceFunction ()
Protected Member Functions inherited from itk::SpatialFunction< double, VSpaceDimension, Point< TCoordRep, VSpaceDimension > >
	SpatialFunction ()
virtual	~SpatialFunction ()
Protected Member Functions inherited from itk::FunctionBase< Point< TCoordRep, VSpaceDimension >, double >
	FunctionBase ()
	~FunctionBase ()
Protected Member Functions inherited from itk::Object
	Object ()
bool	PrintObservers (std::ostream &os, Indent indent) const
virtual void	SetTimeStamp (const TimeStamp &time)
virtual	~Object ()
Protected Member Functions inherited from itk::LightObject
virtual LightObject::Pointer	InternalClone () const
	LightObject ()
virtual void	PrintHeader (std::ostream &os, Indent indent) const
virtual void	PrintTrailer (std::ostream &os, Indent indent) const
virtual	~LightObject ()

Private Member Functions
void	operator= (const Self &)
	PCAShapeSignedDistanceFunction (const Self &)

Additional Inherited Members
Protected Attributes inherited from itk::ShapeSignedDistanceFunction< TCoordRep, VSpaceDimension >
ParametersType	m_Parameters

Detailed Description

template<typename TCoordRep, unsigned int VSpaceDimension, typename TImage = Image< double, VSpaceDimension >>
class itk::PCAShapeSignedDistanceFunction< TCoordRep, VSpaceDimension, TImage >

Compute the signed distance from a N-dimensional PCA Shape.

This class computes the signed distance from a N-dimensional shape defined by: (1) a mean signed distance image $ M(x) $ , (2) the first $ q $ principal components images $ P_i(x) $ and (3) a transform $ T(x) $ to define the pose (i.e. position or orientation of the shape).

A particular instance of the shape is defined by a set of parameters $ p $ . The first $ q $ parameters defines the weights applied to each principal components and the remaining parameters is used to define the transform. The user should refer to the documentation of the particular Transform class being used. The first set of parameters are called the ShapeParameters and the remaining parameters the PoseParameters.

The method Evaluate( point x ) returns the approximate signed to the shape at point x such that:

$s = M(T(x)) + \sum_i^{q} p[i] * \sigma[i] * P_i(T(x))$

Where $\sigma[i]$ are the square root of the eigenvalues. These are defined using method SetPrincipalComponentStandardDeviations().

This class is templated over the coordinate representation type (e.g. float or double) and the space dimension.

See also:: ShapeSignedDistanceFunction; Transform

Definition at line 68 of file itkPCAShapeSignedDistanceFunction.h.