#include <itkPCAShapeSignedDistanceFunction.h>

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

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

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.

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 >
typedef SmartPointer< const Self >	ConstPointer

typedef TCoordRep	CoordRepType

typedef Superclass::InputType	InputType

typedef Superclass::OutputType	OutputType

typedef OptimizerParameters < double >	ParametersType

typedef SmartPointer< Self >	Pointer

typedef InputType	PointType

typedef ShapeSignedDistanceFunction	Self

typedef SpatialFunction < double, VSpaceDimension, Point< TCoordRep, VSpaceDimension > >	Superclass

Public Types inherited from itk::SpatialFunction< double, VSpaceDimension, Point< TCoordRep, VSpaceDimension > >
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::InputType	InputType

typedef Superclass::OutputType	OutputType

typedef SmartPointer< Self >	Pointer

typedef SpatialFunction	Self

typedef FunctionBase< Point < TCoordRep, VSpaceDimension > , double >	Superclass

Public Types inherited from itk::FunctionBase< Point< TCoordRep, VSpaceDimension >, double >
typedef SmartPointer< const Self >	ConstPointer

typedef Point< TCoordRep, VSpaceDimension >	InputType

typedef double	OutputType

typedef SmartPointer< Self >	Pointer

typedef FunctionBase	Self

typedef Object	Superclass

Public Types inherited from itk::Object
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef Object	Self

typedef LightObject	Superclass

Public Types inherited from itk::LightObject
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef LightObject	Self

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 *	GetModifiableMeanImage ()

virtual const ImageType *	GetMeanImage () const


void	SetPrincipalComponentImages (ImagePointerVector v)


virtual void	SetPrincipalComponentStandardDeviations (ParametersType _arg)

virtual ParametersType	GetPrincipalComponentStandardDeviations () const


virtual void	SetTransform (TransformType *_arg)

virtual TransformType *	GetModifiableTransform ()

virtual const TransformType *	GetTransform () const

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 const unsigned int	SpaceDimension = 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 >
void	PrintSelf (std::ostream &os, Indent indent) const

	ShapeSignedDistanceFunction ()

	~ShapeSignedDistanceFunction ()

Protected Member Functions inherited from itk::SpatialFunction< double, VSpaceDimension, Point< TCoordRep, VSpaceDimension > >
void	PrintSelf (std::ostream &os, Indent indent) const

	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 Types inherited from itk::LightObject
typedef int	InternalReferenceCountType

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