Compute moments of an n-dimensional image. More...

#include <itkImageMomentsCalculator.h>

Inheritance diagram for itk::ImageMomentsCalculator< TImage >:

Collaboration diagram for itk::ImageMomentsCalculator< TImage >:

Public Types
typedef AffineTransformType::Pointer	AffineTransformPointer
typedef AffineTransform < double, itkGetStaticConstMacro(ImageDimension) >	AffineTransformType
typedef SmartPointer< const Self >	ConstPointer
typedef ImageType::ConstPointer	ImageConstPointer
typedef ImageType::Pointer	ImagePointer
typedef TImage	ImageType
typedef Matrix< ScalarType, itkGetStaticConstMacro(ImageDimension), itkGetStaticConstMacro(ImageDimension) >	MatrixType
typedef SmartPointer< Self >	Pointer
typedef double	ScalarType
typedef ImageMomentsCalculator < TImage >	Self
typedef SpatialObjectType::ConstPointer	SpatialObjectConstPointer
typedef SpatialObjectType::Pointer	SpatialObjectPointer
typedef SpatialObject < itkGetStaticConstMacro(ImageDimension) >	SpatialObjectType
typedef Object	Superclass
typedef Vector< ScalarType, itkGetStaticConstMacro(ImageDimension) >	VectorType
Public Member Functions
void	Compute (void)
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
VectorType	GetCenterOfGravity () const
MatrixType	GetCentralMoments () const
VectorType	GetFirstMoments () const
virtual const char *	GetNameOfClass () const
AffineTransformPointer	GetPhysicalAxesToPrincipalAxesTransform (void) const
AffineTransformPointer	GetPrincipalAxesToPhysicalAxesTransform (void) const
VectorType	GetPrincipalMoments () const
MatrixType	GetSecondMoments () const
ScalarType	GetTotalMass () const

virtual void	SetImage (const ImageType *image)

virtual void	SetSpatialObjectMask (const SpatialObject< itkGetStaticConstMacro(ImageDimension) > *so)

MatrixType	GetPrincipalAxes () const
Static Public Member Functions
static Pointer	New ()
Static Public Attributes
static const unsigned int	ImageDimension = TImage::ImageDimension
Protected Member Functions
	ImageMomentsCalculator ()
void	PrintSelf (std::ostream &os, Indent indent) const
virtual	~ImageMomentsCalculator ()
Private Member Functions
	ImageMomentsCalculator (const Self &)
void	operator= (const Self &)
Private Attributes
VectorType	m_Cg
MatrixType	m_Cm
ImageConstPointer	m_Image
ScalarType	m_M0
VectorType	m_M1
MatrixType	m_M2
MatrixType	m_Pa
VectorType	m_Pm
SpatialObjectConstPointer	m_SpatialObjectMask
bool	m_Valid

Detailed Description

template<class TImage>
class itk::ImageMomentsCalculator< TImage >

Compute moments of an n-dimensional image.

This class provides methods for computing the moments and related properties of a single-echo image. Computing the (non-central) moments of a large image can easily take a million times longer than computing the various other values derived from them, so we compute the moments only on explicit request, and save their values (in an ImageMomentsCalculator object) for later retrieval by the user.

The non-central moments computed by this class are not really intended for general use and are therefore in index coordinates; that is, we pretend that the index that selects a particular pixel also equals its physical coordinates. The center of gravity, central moments, principal moments and principal axes are all more generally useful and are computed in the physical coordinates defined by the Origin and Spacing parameters of the image.

The methods that return values return the values themselves rather than references because the cost is small compared to the cost of computing the moments and doing so simplifies memory management for the caller.

Todo:: It's not yet clear how multi-echo images should be handled here.

Definition at line 60 of file itkImageMomentsCalculator.h.

Member Typedef Documentation

template<class TImage >

typedef AffineTransformType::Pointer itk::ImageMomentsCalculator< TImage >::AffineTransformPointer

Definition at line 106 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef AffineTransform< double, itkGetStaticConstMacro(ImageDimension) > itk::ImageMomentsCalculator< TImage >::AffineTransformType

Affine transform for mapping to and from principal axis

Definition at line 105 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef SmartPointer< const Self > itk::ImageMomentsCalculator< TImage >::ConstPointer

Reimplemented from itk::Object.

Definition at line 67 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef ImageType::ConstPointer itk::ImageMomentsCalculator< TImage >::ImageConstPointer

Definition at line 102 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef ImageType::Pointer itk::ImageMomentsCalculator< TImage >::ImagePointer

Standard image type pointer within this class.

Definition at line 101 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef TImage itk::ImageMomentsCalculator< TImage >::ImageType

Standard image type within this class.

Definition at line 98 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef Matrix< ScalarType, itkGetStaticConstMacro(ImageDimension), itkGetStaticConstMacro(ImageDimension) > itk::ImageMomentsCalculator< TImage >::MatrixType

Standard matrix type within this class.

Definition at line 95 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef SmartPointer< Self > itk::ImageMomentsCalculator< TImage >::Pointer

Reimplemented from itk::Object.

Definition at line 66 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef double itk::ImageMomentsCalculator< TImage >::ScalarType

Standard scalar type within this class.

Definition at line 80 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef ImageMomentsCalculator< TImage > itk::ImageMomentsCalculator< TImage >::Self

Standard class typedefs.

Reimplemented from itk::Object.

Definition at line 64 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef SpatialObjectType::ConstPointer itk::ImageMomentsCalculator< TImage >::SpatialObjectConstPointer

Definition at line 90 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef SpatialObjectType::Pointer itk::ImageMomentsCalculator< TImage >::SpatialObjectPointer

Spatial Object member types used within this class.

Definition at line 89 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef SpatialObject< itkGetStaticConstMacro(ImageDimension) > itk::ImageMomentsCalculator< TImage >::SpatialObjectType

Spatial Object type within this class.

Definition at line 86 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef Object itk::ImageMomentsCalculator< TImage >::Superclass

Reimplemented from itk::Object.

Definition at line 65 of file itkImageMomentsCalculator.h.

template<class TImage >

typedef Vector< ScalarType, itkGetStaticConstMacro(ImageDimension) > itk::ImageMomentsCalculator< TImage >::VectorType

Standard vector type within this class.

Definition at line 83 of file itkImageMomentsCalculator.h.

Constructor & Destructor Documentation

template<class TImage >

itk::ImageMomentsCalculator< TImage >::ImageMomentsCalculator ( ) [protected]

template<class TImage >

virtual itk::ImageMomentsCalculator< TImage >::~ImageMomentsCalculator ( ) [protected, virtual]

template<class TImage >

itk::ImageMomentsCalculator< TImage >::ImageMomentsCalculator ( const Self & ) [private]

Member Function Documentation

template<class TImage >

void itk::ImageMomentsCalculator< TImage >::Compute ( void )

Compute moments of a new or modified image. This method computes the moments of the image given as a parameter and stores them in the object. The values of these moments and related parameters can then be retrieved by using other methods of this object.

template<class TImage >

virtual::itk::LightObject::Pointer itk::ImageMomentsCalculator< TImage >::CreateAnother ( void ) const [virtual]

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

template<class TImage >

VectorType itk::ImageMomentsCalculator< TImage >::GetCenterOfGravity ( ) const

Return center of gravity, in physical coordinates. This method returns the center of gravity of the image whose moments were last computed by this object. The center of gravity is computed in physical coordinates.

template<class TImage >

MatrixType itk::ImageMomentsCalculator< TImage >::GetCentralMoments ( ) const

Return second central moments, in physical coordinates. This method returns the central second moments of the image whose moments were last computed by this object. The central moments are computed in physical coordinates.

template<class TImage >

VectorType itk::ImageMomentsCalculator< TImage >::GetFirstMoments ( ) const

Return first moments about origin, in index coordinates. This method returns the first moments around the origin of the image whose moments were last computed by this object. For simplicity, these moments are computed in index coordinates rather than physical coordinates.

template<class TImage >

virtual const char* itk::ImageMomentsCalculator< TImage >::GetNameOfClass ( ) const [virtual]

Run-time type information (and related methods).

Reimplemented from itk::Object.

template<class TImage >

AffineTransformPointer itk::ImageMomentsCalculator< TImage >::GetPhysicalAxesToPrincipalAxesTransform ( void ) const

Get the affine transform from physical axes to principal axes This method returns an affine transform which transforms from the physical coordinate system to the principal axes coordinate system.

template<class TImage >

MatrixType itk::ImageMomentsCalculator< TImage >::GetPrincipalAxes ( ) const

Return principal axes, in physical coordinates. This method returns the principal axes of the image whose moments were last computed by this object. The moments are returned as an orthogonal matrix, each row of which corresponds to one principal moment; for example, the principal axis corresponding to the smallest principal moment is the vector m[0], where m is the value returned by this method. The matrix of principal axes is guaranteed to be a proper rotation; that is, to have determinant +1 and to preserve parity. (Unless you have foolishly made one or more of the spacing values negative; in that case, _you_ get to figure out the consequences.) The moments are computed in physical coordinates.

template<class TImage >

AffineTransformPointer itk::ImageMomentsCalculator< TImage >::GetPrincipalAxesToPhysicalAxesTransform ( void ) const

Get the affine transform from principal axes to physical axes This method returns an affine transform which transforms from the principal axes coordinate system to physical coordinates.

template<class TImage >

VectorType itk::ImageMomentsCalculator< TImage >::GetPrincipalMoments ( ) const

Return principal moments, in physical coordinates. This method returns the principal moments of the image whose moments were last computed by this object. The moments are returned as a vector, with the principal moments ordered from smallest to largest. The moments are computed in physical coordinates.

template<class TImage >

MatrixType itk::ImageMomentsCalculator< TImage >::GetSecondMoments ( ) const

Return second moments about origin, in index coordinates. This method returns the second moments around the origin of the image whose moments were last computed by this object. For simplicity, these moments are computed in index coordinates rather than physical coordinates.

template<class TImage >

ScalarType itk::ImageMomentsCalculator< TImage >::GetTotalMass ( ) const

Return the total mass (or zeroth moment) of an image. This method returns the sum of pixel intensities (also known as the zeroth moment or the total mass) of the image whose moments were last computed by this object.

template<class TImage >

static Pointer itk::ImageMomentsCalculator< TImage >::New ( ) [static]

Method for creation through the object factory.

Reimplemented from itk::Object.

template<class TImage >

void itk::ImageMomentsCalculator< TImage >::operator= ( const Self & ) [private]

Mutex lock to protect modification to the reference count

Reimplemented from itk::Object.

template<class TImage >

void itk::ImageMomentsCalculator< TImage >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const `[protected, virtual]`

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::Object.

template<class TImage >

virtual void itk::ImageMomentsCalculator< TImage >::SetImage ( const ImageType * image ) [inline, virtual]

Set the input image.

Definition at line 109 of file itkImageMomentsCalculator.h.

template<class TImage >

virtual void itk::ImageMomentsCalculator< TImage >::SetSpatialObjectMask ( const SpatialObject< itkGetStaticConstMacro(ImageDimension) > * so ) [inline, virtual]