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itk::SymmetricSecondRankTensor< TComponent, NDimension > Class Template Reference
[Image Representation Objects, Objects Related to Tensor Images, Geometry Representation Objects]

#include <itkSymmetricSecondRankTensor.h>

Inheritance diagram for itk::SymmetricSecondRankTensor< TComponent, NDimension >:

[legend]Collaboration diagram for itk::SymmetricSecondRankTensor< TComponent, NDimension >:

[legend]List of all members.

Detailed Description

template<typename TComponent, unsigned int NDimension = 3>
class itk::SymmetricSecondRankTensor< TComponent, NDimension >

Represent a symmetric tensor of second rank.

This class implements a ND symmetric tensor of second rank.

Since SymmetricSecondRankTensor is a subclass of FixedArray, you can access its components as:

typedef itk::SymmetricSecondRankTensor< float > TensorPixelType; TensorPixelType tensor;

tensor[0] = 1.233; tensor[1] = 1.456;

for convenience the indexed access is also available as

tensor(0,0) = 1.233; tensor(2,0) = 1.233;

The Tensor in principle represents a NxN matrix, but given that it is always symmetric the representation can be compacted into a N*(N+1)/2 elements array that derives from the itk::FixedArray<T>

Author:: Jeffrey Duda from School of Engineering at University of Pennsylvania
Torsten Rohlfing from SRI International Neuroscience Program.

This class was mostly based on files that Jeffrey Duda, Torsten Rohlfing and Martin Styner contributed to the ITK users list during a discussion on support for DiffusionTensorImages. The funding for creating this class was largely provided by NAMIC (National Alliance for Medical Image Computing) (http://www.na-mic.org). A discussion on the design of this class can be found in the WIKI pages of NAMIC:

http://www.na-mic.org/Wiki/index.php/NAMIC_Wiki:DTI:ITK-DiffusionTensorPixelType

See also:: DiffusionTensor3D

Definition at line 74 of file itkSymmetricSecondRankTensor.h.

Public Types

typedef NumericTraits< ValueType
>::RealType AccumulateValueType

typedef FixedArray< TComponent,
itkGetStaticConstMacro(InternalDimension)> BaseArray

typedef ValueType CArray [VLength]

typedef ComponentType ComponentArrayType [itkGetStaticConstMacro(InternalDimension)]

typedef TComponent ComponentType

typedef const ValueType * const_pointer

typedef const ValueType & const_reference

typedef const ValueType * ConstIterator

typedef FixedArray< TComponent,
NDimension > EigenValuesArrayType

typedef Matrix< TComponent,
NDimension, NDimension > EigenVectorsMatrixType

typedef ValueType * Iterator

typedef Matrix< TComponent,
NDimension, NDimension > MatrixType

typedef ValueType * pointer

typedef NumericTraits< ValueType
>::RealType RealValueType

typedef ValueType & reference

typedef SymmetricSecondRankTensor Self

typedef unsigned int SizeType

typedef FixedArray< TComponent,
NDimension *(NDimension+1)/2 > Superclass

typedef SymmetricEigenAnalysis<
MatrixType, EigenValuesArrayType,
EigenVectorsMatrixType > SymmetricEigenAnalysisType

typedef Superclass::ValueType ValueType

Public Member Functions

ConstIterator Begin () const

Iterator Begin ()

void ComputeEigenAnalysis (EigenValuesArrayType &eigenValues, EigenVectorsMatrixType &eigenVectors) const

void ComputeEigenValues (EigenValuesArrayType &eigenValues) const

ConstIterator End () const

Iterator End ()

void Fill (const ValueType &)

const ValueType * GetDataPointer () const

ValueType * GetDataPointer ()

const_reference GetElement (unsigned short index) const

ComponentType GetNthComponent (int c) const

AccumulateValueType GetTrace () const

itkStaticConstMacro (Dimension, unsigned int, VLength)

itkStaticConstMacro (Length, unsigned int, VLength)

bool operator!= (const FixedArray &r) const

bool operator== (const FixedArray &r) const

const_reference operator[] (unsigned long index) const

reference operator[] (unsigned long index)

const_reference operator[] (long index) const

reference operator[] (long index)

const_reference operator[] (unsigned int index) const

reference operator[] (unsigned int index)

const_reference operator[] (int index) const

reference operator[] (int index)

const_reference operator[] (unsigned short index) const

reference operator[] (unsigned short index)

const_reference operator[] (short index) const

reference operator[] (short index)

Self PostMultiply (const MatrixType &m) const

Self PreMultiply (const MatrixType &m) const

ConstReverseIterator rBegin () const

ReverseIterator rBegin ()

ConstReverseIterator rEnd () const

ReverseIterator rEnd ()

void SetElement (unsigned short index, const_reference value)

void SetIdentity ()

void SetNthComponent (int c, const ComponentType &v)

SizeType Size () const

SymmetricSecondRankTensor (const ComponentType &r)

SymmetricSecondRankTensor ()

itkStaticConstMacro (InternalDimension, unsigned int, NDimension *(NDimension+1)/2)

itkStaticConstMacro (Dimension, unsigned int, NDimension)

Self operator * (const RealValueType &scalar) const

const Self & operator *= (const RealValueType &scalar)

Self operator/ (const RealValueType &scalar) const

const Self & operator/= (const RealValueType &scalar)

const ValueType & operator() (unsigned int row, unsigned int col) const

ValueType & operator() (unsigned int row, unsigned int col)

Self operator+ (const Self &vec) const

const Self & operator+= (const Self &vec)

Self operator- (const Self &vec) const

const Self & operator-= (const Self &vec)

Self & operator= (const ComponentArrayType r)

Self & operator= (const ComponentType &r)

Self & operator= (const Self &r)

Static Public Member Functions

static FixedArray Filled (const ValueType &)

static unsigned int GetNumberOfComponents ()

Member Typedef Documentation

template<typename TComponent, unsigned int NDimension = 3>

typedef NumericTraits<ValueType>::RealType itk::SymmetricSecondRankTensor< TComponent, NDimension >::AccumulateValueType

Reimplemented in itk::DiffusionTensor3D< TComponent >.

Definition at line 101 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

typedef FixedArray<TComponent, itkGetStaticConstMacro(InternalDimension)> itk::SymmetricSecondRankTensor< TComponent, NDimension >::BaseArray

Convenience typedefs.

Definition at line 89 of file itkSymmetricSecondRankTensor.h.

typedef ValueType itk::FixedArray< TComponent , VLength >::CArray[VLength] [inherited]

A type representing the C-array version of this FixedArray.

Definition at line 77 of file itkFixedArray.h.

template<typename TComponent, unsigned int NDimension = 3>

typedef ComponentType itk::SymmetricSecondRankTensor< TComponent, NDimension >::ComponentArrayType[itkGetStaticConstMacro(InternalDimension)]

Reimplemented in itk::DiffusionTensor3D< TComponent >.

Definition at line 112 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

typedef TComponent itk::SymmetricSecondRankTensor< TComponent, NDimension >::ComponentType

Define the component type.

Reimplemented in itk::DiffusionTensor3D< TComponent >.

Definition at line 99 of file itkSymmetricSecondRankTensor.h.

typedef const ValueType* itk::FixedArray< TComponent , VLength >::const_pointer [inherited]

A const pointer to the ValueType.

Definition at line 125 of file itkFixedArray.h.

typedef const ValueType& itk::FixedArray< TComponent , VLength >::const_reference [inherited]

A const reference to the ValueType.

Definition at line 131 of file itkFixedArray.h.

typedef const ValueType* itk::FixedArray< TComponent , VLength >::ConstIterator [inherited]

A const iterator through the array.

Definition at line 83 of file itkFixedArray.h.

template<typename TComponent, unsigned int NDimension = 3>

typedef FixedArray<TComponent, NDimension> itk::SymmetricSecondRankTensor< TComponent, NDimension >::EigenValuesArrayType

Array of eigen-values.

Reimplemented in itk::DiffusionTensor3D< TComponent >.

Definition at line 92 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

typedef Matrix<TComponent, NDimension, NDimension> itk::SymmetricSecondRankTensor< TComponent, NDimension >::EigenVectorsMatrixType

Reimplemented in itk::DiffusionTensor3D< TComponent >.

Definition at line 96 of file itkSymmetricSecondRankTensor.h.

typedef ValueType* itk::FixedArray< TComponent , VLength >::Iterator [inherited]

An iterator through the array.

Definition at line 80 of file itkFixedArray.h.

template<typename TComponent, unsigned int NDimension = 3>

typedef Matrix<TComponent, NDimension, NDimension> itk::SymmetricSecondRankTensor< TComponent, NDimension >::MatrixType

Matrix of eigen-vectors.

Definition at line 95 of file itkSymmetricSecondRankTensor.h.

typedef ValueType* itk::FixedArray< TComponent , VLength >::pointer [inherited]

A pointer to the ValueType.

Definition at line 122 of file itkFixedArray.h.

template<typename TComponent, unsigned int NDimension = 3>

typedef NumericTraits<ValueType>::RealType itk::SymmetricSecondRankTensor< TComponent, NDimension >::RealValueType

Reimplemented in itk::DiffusionTensor3D< TComponent >.

Definition at line 102 of file itkSymmetricSecondRankTensor.h.

typedef ValueType& itk::FixedArray< TComponent , VLength >::reference [inherited]

A reference to the ValueType.

Definition at line 128 of file itkFixedArray.h.

template<typename TComponent, unsigned int NDimension = 3>

typedef SymmetricSecondRankTensor itk::SymmetricSecondRankTensor< TComponent, NDimension >::Self

Standard class typedefs.

Reimplemented in itk::DiffusionTensor3D< TComponent >.

Definition at line 79 of file itkSymmetricSecondRankTensor.h.

typedef unsigned int itk::FixedArray< TComponent , VLength >::SizeType [inherited]

Definition at line 133 of file itkFixedArray.h.

template<typename TComponent, unsigned int NDimension = 3>

typedef FixedArray<TComponent,NDimension*(NDimension+1)/2> itk::SymmetricSecondRankTensor< TComponent, NDimension >::Superclass

Reimplemented in itk::DiffusionTensor3D< TComponent >.

Definition at line 80 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

typedef SymmetricEigenAnalysis< MatrixType, EigenValuesArrayType, EigenVectorsMatrixType > itk::SymmetricSecondRankTensor< TComponent, NDimension >::SymmetricEigenAnalysisType

Definition at line 105 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

typedef Superclass::ValueType itk::SymmetricSecondRankTensor< TComponent, NDimension >::ValueType

The element type stored at each location in the FixedArray.

Reimplemented from itk::FixedArray< TComponent, NDimension *(NDimension+1)/2 >.

Reimplemented in itk::DiffusionTensor3D< TComponent >.

Definition at line 100 of file itkSymmetricSecondRankTensor.h.

Constructor & Destructor Documentation

template<typename TComponent, unsigned int NDimension = 3>

itk::SymmetricSecondRankTensor< TComponent, NDimension >::SymmetricSecondRankTensor ( ) [inline]

Default constructor has nothing to do.

Definition at line 108 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

itk::SymmetricSecondRankTensor< TComponent, NDimension >::SymmetricSecondRankTensor ( const ComponentType & r ) [inline]

Definition at line 110 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

itk::SymmetricSecondRankTensor< TComponent, NDimension >::SymmetricSecondRankTensor ( const Self & r ) [inline]

Pass-through constructor for the Array base class.

Definition at line 115 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

itk::SymmetricSecondRankTensor< TComponent, NDimension >::SymmetricSecondRankTensor ( const ComponentArrayType r ) [inline]

Definition at line 116 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

itk::SymmetricSecondRankTensor< TComponent, NDimension >::SymmetricSecondRankTensor ( const ComponentArrayType r ) [inline]

Definition at line 116 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

itk::SymmetricSecondRankTensor< TComponent, NDimension >::SymmetricSecondRankTensor ( const Self & r ) [inline]

Pass-through constructor for the Array base class.

Definition at line 115 of file itkSymmetricSecondRankTensor.h.

Member Function Documentation

ConstIterator itk::FixedArray< TComponent , VLength >::Begin ( void ) const [inherited]

Iterator itk::FixedArray< TComponent , VLength >::Begin ( void ) [inherited]

Get various iterators to the array.

template<typename TComponent, unsigned int NDimension = 3>

void itk::SymmetricSecondRankTensor< TComponent, NDimension >::ComputeEigenAnalysis	(	EigenValuesArrayType &	eigenValues,
		EigenVectorsMatrixType &	eigenVectors
	)			const

Return an array containing EigenValues, and a matrix containing Eigen vectors.

template<typename TComponent, unsigned int NDimension = 3>

void itk::SymmetricSecondRankTensor< TComponent, NDimension >::ComputeEigenValues ( EigenValuesArrayType & eigenValues ) const

Return an array containing EigenValues.

ConstIterator itk::FixedArray< TComponent , VLength >::End ( void ) const [inherited]

Iterator itk::FixedArray< TComponent , VLength >::End ( void ) [inherited]

void itk::FixedArray< TComponent , VLength >::Fill ( const ValueType & ) [inherited]

Referenced by itk::SymmetricSecondRankTensor< TComponent, 3 >::SymmetricSecondRankTensor().

static FixedArray itk::FixedArray< TComponent , VLength >::Filled ( const ValueType & ) [static, inherited]

const ValueType* itk::FixedArray< TComponent , VLength >::GetDataPointer ( ) const [inline, inherited]

Definition at line 218 of file itkFixedArray.h.

ValueType* itk::FixedArray< TComponent , VLength >::GetDataPointer ( ) [inline, inherited]

Return a pointer to the data.

Definition at line 217 of file itkFixedArray.h.

const_reference itk::FixedArray< TComponent , VLength >::GetElement ( unsigned short index ) const [inline, inherited]

Definition at line 213 of file itkFixedArray.h.

template<typename TComponent, unsigned int NDimension = 3>

ComponentType itk::SymmetricSecondRankTensor< TComponent, NDimension >::GetNthComponent ( int c ) const [inline]

Return the value for the Nth component.

Definition at line 146 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

static unsigned int itk::SymmetricSecondRankTensor< TComponent, NDimension >::GetNumberOfComponents ( ) [inline, static]

Return the number of components.

Definition at line 140 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

AccumulateValueType itk::SymmetricSecondRankTensor< TComponent, NDimension >::GetTrace ( ) const

Get Trace value

Reimplemented in itk::DiffusionTensor3D< TComponent >.

itk::FixedArray< TComponent , VLength >::itkStaticConstMacro	(	Dimension	,
		unsigned	int,
		VLength
	)			`[inherited]`

Dimension constant

itk::FixedArray< TComponent , VLength >::itkStaticConstMacro	(	Length	,
		unsigned	int,
		VLength
	)			`[inherited]`

Length constant

template<typename TComponent, unsigned int NDimension = 3>

itk::SymmetricSecondRankTensor< TComponent, NDimension >::itkStaticConstMacro	(	InternalDimension	,
		unsigned	int,
		NDimension *(NDimension+1)/	2
	)

template<typename TComponent, unsigned int NDimension = 3>

itk::SymmetricSecondRankTensor< TComponent, NDimension >::itkStaticConstMacro	(	Dimension	,
		unsigned	int,
		NDimension
	)

Dimension of the vector space.

template<typename TComponent, unsigned int NDimension = 3>

Self itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator * ( const RealValueType & scalar ) const

Arithmetic operations between tensors and scalars

template<typename TComponent, unsigned int NDimension = 3>

const Self& itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator *= ( const RealValueType & scalar )

Arithmetic operations between tensors and scalars

bool itk::FixedArray< TComponent , VLength >::operator!= ( const FixedArray< TComponent, NDimension *(NDimension+1)/2 > & r ) const [inline, inherited]

Definition at line 189 of file itkFixedArray.h.

template<typename TComponent, unsigned int NDimension = 3>

const ValueType& itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator()	(	unsigned int	row,
		unsigned int	col
	)			const

template<typename TComponent, unsigned int NDimension = 3>

ValueType& itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator()	(	unsigned int	row,
		unsigned int	col
	)

Matrix notation, in const and non-const forms.

template<typename TComponent, unsigned int NDimension = 3>

Self itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator+ ( const Self & vec ) const

Aritmetic operations between pixels. Return a new SymmetricSecondRankTensor.

template<typename TComponent, unsigned int NDimension = 3>

const Self& itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator+= ( const Self & vec )

Aritmetic operations between pixels. Return a new SymmetricSecondRankTensor.

template<typename TComponent, unsigned int NDimension = 3>

Self itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator- ( const Self & vec ) const

Aritmetic operations between pixels. Return a new SymmetricSecondRankTensor.

template<typename TComponent, unsigned int NDimension = 3>

const Self& itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator-= ( const Self & vec )

Aritmetic operations between pixels. Return a new SymmetricSecondRankTensor.

template<typename TComponent, unsigned int NDimension = 3>

Self itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator/ ( const RealValueType & scalar ) const

Arithmetic operations between tensors and scalars

template<typename TComponent, unsigned int NDimension = 3>

const Self& itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator/= ( const RealValueType & scalar )

Arithmetic operations between tensors and scalars

template<typename TComponent, unsigned int NDimension = 3>

Self& itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator= ( const ComponentArrayType r )

template<typename TComponent, unsigned int NDimension = 3>

Self& itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator= ( const ComponentType & r )

template<typename TComponent, unsigned int NDimension = 3>

Self& itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator= ( const Self & r )

Pass-through assignment operator for the Array base class.

bool itk::FixedArray< TComponent , VLength >::operator== ( const FixedArray< TComponent, NDimension *(NDimension+1)/2 > & r ) const [inherited]

Operators == and != are used to compare whether two arrays are equal. Note that arrays are equal when the number of components (size) is the same, and each component value is equal.

const_reference itk::FixedArray< TComponent , VLength >::operator[] ( unsigned long index ) const [inline, inherited]

Definition at line 207 of file itkFixedArray.h.

reference itk::FixedArray< TComponent , VLength >::operator[] ( unsigned long index ) [inline, inherited]

Definition at line 206 of file itkFixedArray.h.

const_reference itk::FixedArray< TComponent , VLength >::operator[] ( long index ) const [inline, inherited]

Definition at line 205 of file itkFixedArray.h.

reference itk::FixedArray< TComponent , VLength >::operator[] ( long index ) [inline, inherited]

Definition at line 204 of file itkFixedArray.h.

const_reference itk::FixedArray< TComponent , VLength >::operator[] ( unsigned int index ) const [inline, inherited]

Definition at line 203 of file itkFixedArray.h.

reference itk::FixedArray< TComponent , VLength >::operator[] ( unsigned int index ) [inline, inherited]

Definition at line 202 of file itkFixedArray.h.

const_reference itk::FixedArray< TComponent , VLength >::operator[] ( int index ) const [inline, inherited]

Definition at line 201 of file itkFixedArray.h.

reference itk::FixedArray< TComponent , VLength >::operator[] ( int index ) [inline, inherited]

Definition at line 200 of file itkFixedArray.h.

const_reference itk::FixedArray< TComponent , VLength >::operator[] ( unsigned short index ) const [inline, inherited]

Definition at line 199 of file itkFixedArray.h.

reference itk::FixedArray< TComponent , VLength >::operator[] ( unsigned short index ) [inline, inherited]

Definition at line 198 of file itkFixedArray.h.

const_reference itk::FixedArray< TComponent , VLength >::operator[] ( short index ) const [inline, inherited]

Definition at line 197 of file itkFixedArray.h.

reference itk::FixedArray< TComponent , VLength >::operator[] ( short index ) [inline, inherited]

Allow the FixedArray to be indexed normally. No bounds checking is done. The separate versions are a work-around for an integer conversion bug in Visual C++.

Definition at line 196 of file itkFixedArray.h.

Referenced by itk::SymmetricSecondRankTensor< TComponent, 3 >::GetNthComponent(), and itk::SymmetricSecondRankTensor< TComponent, 3 >::SetNthComponent().

template<typename TComponent, unsigned int NDimension = 3>

Self itk::SymmetricSecondRankTensor< TComponent, NDimension >::PostMultiply ( const MatrixType & m ) const

Post-Multiply by a Matrix as ResultingTensor = ThisTensor * Matrix.

template<typename TComponent, unsigned int NDimension = 3>

Self itk::SymmetricSecondRankTensor< TComponent, NDimension >::PreMultiply ( const MatrixType & m ) const

Pre-Multiply by a Matrix as ResultingTensor = Matrix * ThisTensor.

ConstReverseIterator itk::FixedArray< TComponent , VLength >::rBegin ( ) const [inherited]

ReverseIterator itk::FixedArray< TComponent , VLength >::rBegin ( ) [inherited]

ConstReverseIterator itk::FixedArray< TComponent , VLength >::rEnd ( ) const [inherited]

ReverseIterator itk::FixedArray< TComponent , VLength >::rEnd ( ) [inherited]

void itk::FixedArray< TComponent , VLength >::SetElement	(	unsigned short	index,
		const_reference	value
	)			`[inline, inherited]`

Set/Get element methods are more convenient in wrapping languages

Definition at line 211 of file itkFixedArray.h.

template<typename TComponent, unsigned int NDimension = 3>

void itk::SymmetricSecondRankTensor< TComponent, NDimension >::SetIdentity ( )

Set the tensor to an identity tensor. This has 1 in its diagonal elements zero elsewhere

template<typename TComponent, unsigned int NDimension = 3>

void itk::SymmetricSecondRankTensor< TComponent, NDimension >::SetNthComponent	(	int	c,
		const ComponentType &	v
	)			`[inline]`

Set the Nth component to v.

Definition at line 150 of file itkSymmetricSecondRankTensor.h.

SizeType itk::FixedArray< TComponent , VLength >::Size ( void ) const [inherited]

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

itkSymmetricSecondRankTensor.h

Generated at Thu Nov 6 11:40:00 2008 for ITK by


Public Types
typedef NumericTraits< ValueType >::RealType	AccumulateValueType
typedef FixedArray< TComponent, itkGetStaticConstMacro(InternalDimension)>	BaseArray
typedef ValueType	CArray [VLength]
typedef ComponentType	ComponentArrayType [itkGetStaticConstMacro(InternalDimension)]
typedef TComponent	ComponentType
typedef const ValueType *	const_pointer
typedef const ValueType &	const_reference
typedef const ValueType *	ConstIterator
typedef FixedArray< TComponent, NDimension >	EigenValuesArrayType
typedef Matrix< TComponent, NDimension, NDimension >	EigenVectorsMatrixType
typedef ValueType *	Iterator
typedef Matrix< TComponent, NDimension, NDimension >	MatrixType
typedef ValueType *	pointer
typedef NumericTraits< ValueType >::RealType	RealValueType
typedef ValueType &	reference
typedef SymmetricSecondRankTensor	Self
typedef unsigned int	SizeType
typedef FixedArray< TComponent, NDimension *(NDimension+1)/2 >	Superclass
typedef SymmetricEigenAnalysis< MatrixType, EigenValuesArrayType, EigenVectorsMatrixType >	SymmetricEigenAnalysisType
typedef Superclass::ValueType	ValueType
Public Member Functions
ConstIterator	Begin () const
Iterator	Begin ()
void	ComputeEigenAnalysis (EigenValuesArrayType &eigenValues, EigenVectorsMatrixType &eigenVectors) const
void	ComputeEigenValues (EigenValuesArrayType &eigenValues) const
ConstIterator	End () const
Iterator	End ()
void	Fill (const ValueType &)
const ValueType *	GetDataPointer () const
ValueType *	GetDataPointer ()
const_reference	GetElement (unsigned short index) const
ComponentType	GetNthComponent (int c) const
AccumulateValueType	GetTrace () const
	itkStaticConstMacro (Dimension, unsigned int, VLength)
	itkStaticConstMacro (Length, unsigned int, VLength)
bool	operator!= (const FixedArray &r) const
bool	operator== (const FixedArray &r) const
const_reference	operator[] (unsigned long index) const
reference	operator[] (unsigned long index)
const_reference	operator[] (long index) const
reference	operator[] (long index)
const_reference	operator[] (unsigned int index) const
reference	operator[] (unsigned int index)
const_reference	operator[] (int index) const
reference	operator[] (int index)
const_reference	operator[] (unsigned short index) const
reference	operator[] (unsigned short index)
const_reference	operator[] (short index) const
reference	operator[] (short index)
Self	PostMultiply (const MatrixType &m) const
Self	PreMultiply (const MatrixType &m) const
ConstReverseIterator	rBegin () const
ReverseIterator	rBegin ()
ConstReverseIterator	rEnd () const
ReverseIterator	rEnd ()
void	SetElement (unsigned short index, const_reference value)
void	SetIdentity ()
void	SetNthComponent (int c, const ComponentType &v)
SizeType	Size () const
	SymmetricSecondRankTensor (const ComponentType &r)
	SymmetricSecondRankTensor ()

	itkStaticConstMacro (InternalDimension, unsigned int, NDimension *(NDimension+1)/2)
	itkStaticConstMacro (Dimension, unsigned int, NDimension)

Self	operator * (const RealValueType &scalar) const
const Self &	operator *= (const RealValueType &scalar)
Self	operator/ (const RealValueType &scalar) const
const Self &	operator/= (const RealValueType &scalar)

const ValueType &	operator() (unsigned int row, unsigned int col) const
ValueType &	operator() (unsigned int row, unsigned int col)

Self	operator+ (const Self &vec) const
const Self &	operator+= (const Self &vec)
Self	operator- (const Self &vec) const
const Self &	operator-= (const Self &vec)

Self &	operator= (const ComponentArrayType r)
Self &	operator= (const ComponentType &r)
Self &	operator= (const Self &r)
Static Public Member Functions
static FixedArray	Filled (const ValueType &)
static unsigned int	GetNumberOfComponents ()

itk::SymmetricSecondRankTensor< TComponent, NDimension > Class Template Reference [Image Representation Objects, Objects Related to Tensor Images, Geometry Representation Objects]

Detailed Description

template<typename TComponent, unsigned int NDimension = 3> class itk::SymmetricSecondRankTensor< TComponent, NDimension >

Public Types

Public Member Functions

Static Public Member Functions

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

itk::SymmetricSecondRankTensor< TComponent, NDimension > Class Template Reference
[Image Representation Objects, Objects Related to Tensor Images, Geometry Representation Objects]

template<typename TComponent, unsigned int NDimension = 3>
class itk::SymmetricSecondRankTensor< TComponent, NDimension >