ITK  4.9.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Static Public Member Functions | Static Public Attributes | Protected Member Functions | Private Member Functions | Private Attributes | List of all members
itk::ImageMomentsCalculator< TImage > Class Template Reference

#include <itkImageMomentsCalculator.h>

+ Inheritance diagram for itk::ImageMomentsCalculator< TImage >:
+ Collaboration diagram for itk::ImageMomentsCalculator< TImage >:

Detailed Description

template<typename 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.
Examples:
Examples/RegistrationITKv4/MultiStageImageRegistration2.cxx.

Definition at line 60 of file itkImageMomentsCalculator.h.

Public Types

typedef
AffineTransformType::Pointer 
AffineTransformPointer
 
typedef AffineTransform
< double,
itkGetStaticConstMacro(ImageDimension) > 
AffineTransformType
 
typedef SmartPointer< const SelfConstPointer
 
typedef ImageType::ConstPointer ImageConstPointer
 
typedef ImageType::Pointer ImagePointer
 
typedef TImage ImageType
 
typedef Matrix< ScalarType,
itkGetStaticConstMacro(ImageDimension),
itkGetStaticConstMacro(ImageDimension) > 
MatrixType
 
typedef SmartPointer< SelfPointer
 
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 Types inherited from itk::Object
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef Object Self
 
typedef LightObject Superclass
 
- Public Types inherited from itk::LightObject
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef LightObject Self
 

Public Member Functions

void Compute ()
 
virtual ::itk::LightObject::Pointer CreateAnother () const
 
VectorType GetCenterOfGravity () const
 
MatrixType GetCentralMoments () const
 
VectorType GetFirstMoments () const
 
virtual const char * GetNameOfClass () const
 
AffineTransformPointer GetPhysicalAxesToPrincipalAxesTransform () const
 
AffineTransformPointer GetPrincipalAxesToPhysicalAxesTransform () 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
 
- Public Member Functions inherited from itk::Object
unsigned long AddObserver (const EventObject &event, Command *)
 
unsigned long AddObserver (const EventObject &event, Command *) const
 
virtual void DebugOff () const
 
virtual void DebugOn () const
 
CommandGetCommand (unsigned long tag)
 
bool GetDebug () const
 
MetaDataDictionaryGetMetaDataDictionary ()
 
const MetaDataDictionaryGetMetaDataDictionary () const
 
virtual ModifiedTimeType GetMTime () const
 
virtual const TimeStampGetTimeStamp () const
 
bool HasObserver (const EventObject &event) const
 
void InvokeEvent (const EventObject &)
 
void InvokeEvent (const EventObject &) const
 
virtual void Modified () const
 
virtual void Register () const override
 
void RemoveAllObservers ()
 
void RemoveObserver (unsigned long tag)
 
void SetDebug (bool debugFlag) const
 
void SetMetaDataDictionary (const MetaDataDictionary &rhs)
 
virtual void SetReferenceCount (int) override
 
virtual void UnRegister () const noexceptoverride
 
virtual void SetObjectName (std::string _arg)
 
virtual const std::string & GetObjectName () const
 
- Public Member Functions inherited from itk::LightObject
virtual void Delete ()
 
virtual int GetReferenceCount () const
 
 itkCloneMacro (Self)
 
void Print (std::ostream &os, Indent indent=0) const
 

Static Public Member Functions

static Pointer New ()
 
- Static Public Member Functions inherited from itk::Object
static bool GetGlobalWarningDisplay ()
 
static void GlobalWarningDisplayOff ()
 
static void GlobalWarningDisplayOn ()
 
static Pointer New ()
 
static void SetGlobalWarningDisplay (bool flag)
 
- Static Public Member Functions inherited from itk::LightObject
static void BreakOnError ()
 
static Pointer New ()
 

Static Public Attributes

static const unsigned int ImageDimension = TImage::ImageDimension
 

Protected Member Functions

 ImageMomentsCalculator ()
 
virtual void PrintSelf (std::ostream &os, Indent indent) const override
 
virtual ~ImageMomentsCalculator ()
 
- 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

 ImageMomentsCalculator (const Self &) ITK_DELETE_FUNCTION
 
void operator= (const Self &) ITK_DELETE_FUNCTION
 

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
 

Additional Inherited Members

- Protected Attributes inherited from itk::LightObject
AtomicInt< int > m_ReferenceCount
 

Member Typedef Documentation

Definition at line 106 of file itkImageMomentsCalculator.h.

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

Definition at line 67 of file itkImageMomentsCalculator.h.

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

Definition at line 102 of file itkImageMomentsCalculator.h.

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

Standard image type pointer within this class.

Definition at line 101 of file itkImageMomentsCalculator.h.

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

Standard image type within this class.

Definition at line 98 of file itkImageMomentsCalculator.h.

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

Definition at line 66 of file itkImageMomentsCalculator.h.

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

Standard scalar type within this class.

Definition at line 80 of file itkImageMomentsCalculator.h.

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

Standard class typedefs.

Definition at line 64 of file itkImageMomentsCalculator.h.

Definition at line 90 of file itkImageMomentsCalculator.h.

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

Spatial Object type within this class.

Definition at line 86 of file itkImageMomentsCalculator.h.

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

Definition at line 65 of file itkImageMomentsCalculator.h.

template<typename 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<typename TImage >
itk::ImageMomentsCalculator< TImage >::ImageMomentsCalculator ( )
protected
template<typename TImage >
virtual itk::ImageMomentsCalculator< TImage >::~ImageMomentsCalculator ( )
protectedvirtual
template<typename TImage >
itk::ImageMomentsCalculator< TImage >::ImageMomentsCalculator ( const Self )
private

Member Function Documentation

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

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<typename TImage >
virtual::itk::LightObject::Pointer itk::ImageMomentsCalculator< TImage >::CreateAnother ( ) 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<typename 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<typename 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<typename 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<typename TImage >
virtual const char* itk::ImageMomentsCalculator< TImage >::GetNameOfClass ( ) const
virtual

Run-time type information (and related methods).

Reimplemented from itk::Object.

template<typename TImage >
AffineTransformPointer itk::ImageMomentsCalculator< TImage >::GetPhysicalAxesToPrincipalAxesTransform ( ) 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<typename 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<typename TImage >
AffineTransformPointer itk::ImageMomentsCalculator< TImage >::GetPrincipalAxesToPhysicalAxesTransform ( ) 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<typename 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<typename 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<typename 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<typename TImage >
static Pointer itk::ImageMomentsCalculator< TImage >::New ( )
static

Method for creation through the object factory.

template<typename TImage >
void itk::ImageMomentsCalculator< TImage >::operator= ( const Self )
private
template<typename TImage >
virtual void itk::ImageMomentsCalculator< TImage >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
overrideprotectedvirtual

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<typename TImage >
virtual void itk::ImageMomentsCalculator< TImage >::SetImage ( const ImageType image)
inlinevirtual
template<typename TImage >
virtual void itk::ImageMomentsCalculator< TImage >::SetSpatialObjectMask ( const SpatialObject< itkGetStaticConstMacro(ImageDimension) > *  so)
inlinevirtual

Member Data Documentation

template<typename TImage >
const unsigned int itk::ImageMomentsCalculator< TImage >::ImageDimension = TImage::ImageDimension
static

Extract the dimension of the image.

Definition at line 77 of file itkImageMomentsCalculator.h.

template<typename TImage >
VectorType itk::ImageMomentsCalculator< TImage >::m_Cg
private

Definition at line 218 of file itkImageMomentsCalculator.h.

template<typename TImage >
MatrixType itk::ImageMomentsCalculator< TImage >::m_Cm
private

Definition at line 219 of file itkImageMomentsCalculator.h.

template<typename TImage >
ImageConstPointer itk::ImageMomentsCalculator< TImage >::m_Image
private
template<typename TImage >
ScalarType itk::ImageMomentsCalculator< TImage >::m_M0
private

Definition at line 215 of file itkImageMomentsCalculator.h.

template<typename TImage >
VectorType itk::ImageMomentsCalculator< TImage >::m_M1
private

Definition at line 216 of file itkImageMomentsCalculator.h.

template<typename TImage >
MatrixType itk::ImageMomentsCalculator< TImage >::m_M2
private

Definition at line 217 of file itkImageMomentsCalculator.h.

template<typename TImage >
MatrixType itk::ImageMomentsCalculator< TImage >::m_Pa
private

Definition at line 221 of file itkImageMomentsCalculator.h.

template<typename TImage >
VectorType itk::ImageMomentsCalculator< TImage >::m_Pm
private

Definition at line 220 of file itkImageMomentsCalculator.h.

template<typename TImage >
SpatialObjectConstPointer itk::ImageMomentsCalculator< TImage >::m_SpatialObjectMask
private
template<typename TImage >
bool itk::ImageMomentsCalculator< TImage >::m_Valid
private

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