Represent a symmetric tensor of second rank. More...

#include <itkSymmetricSecondRankTensor.h>

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

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

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
void	ComputeEigenAnalysis (EigenValuesArrayType &eigenValues, EigenVectorsMatrixType &eigenVectors) const
void	ComputeEigenValues (EigenValuesArrayType &eigenValues) const
ComponentType	GetNthComponent (int c) const
AccumulateValueType	GetTrace () const
Self	PostMultiply (const MatrixType &m) const
Self	PreMultiply (const MatrixType &m) const
void	SetIdentity ()
void	SetNthComponent (int c, const ComponentType &v)
	SymmetricSecondRankTensor (const ComponentType &r)
template<typename TCoordRepB >
	SymmetricSecondRankTensor (const SymmetricSecondRankTensor< TCoordRepB, NDimension > &pa)
	SymmetricSecondRankTensor ()
	SymmetricSecondRankTensor (const ComponentArrayType r)


template<typename TCoordRepB >
Self &	operator= (const SymmetricSecondRankTensor< TCoordRepB, NDimension > &pa)


Self &	operator= (const ComponentType &r)
Self &	operator= (const ComponentArrayType r)


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


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


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


bool	operator== (const FixedArray &r) const
bool	operator!= (const FixedArray &r) const


reference	operator[] (short index)
const_reference	operator[] (short index) const
reference	operator[] (unsigned short index)
const_reference	operator[] (unsigned short index) const
reference	operator[] (int index)
const_reference	operator[] (int index) const
reference	operator[] (unsigned int index)
const_reference	operator[] (unsigned int index) const
reference	operator[] (long index)
const_reference	operator[] (long index) const
reference	operator[] (unsigned long index)
const_reference	operator[] (unsigned long index) const


void	SetElement (unsigned short index, const_reference value)
const_reference	GetElement (unsigned short index) const


ValueType *	GetDataPointer ()
const ValueType *	GetDataPointer () const


Iterator	Begin ()
ConstIterator	Begin () const
Iterator	End ()
ConstIterator	End () const
ReverseIterator	rBegin ()
ConstReverseIterator	rBegin () const
ReverseIterator	rEnd ()
ConstReverseIterator	rEnd () const
SizeType	Size () const
void	Fill (const ValueType &)
Static Public Member Functions
static FixedArray	Filled (const ValueType &)
static unsigned int	GetNumberOfComponents ()
Static Public Attributes
static const unsigned int	Length


static const unsigned int	Dimension = NDimension
static const unsigned int	InternalDimension = NDimension*(NDimension+1)/2

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.

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 117 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 129 of file itkFixedArray.h.

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

A const reference to the ValueType.

Definition at line 135 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 126 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 132 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 137 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>

template<typename TCoordRepB >

itk::SymmetricSecondRankTensor< TComponent, NDimension >::SymmetricSecondRankTensor ( const SymmetricSecondRankTensor< TCoordRepB, NDimension > & pa ) [inline]

Constructor to enable casting...

Definition at line 114 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

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

Pass-through constructor for the Array base class.

Definition at line 120 of file itkSymmetricSecondRankTensor.h.

Member Function Documentation

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

Get various iterators to the array.

Referenced by itk::DTITubeSpatialObjectPoint< TPointDimension >::SetTensorMatrix().

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

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

Get various iterators to the array.

Referenced by itk::DTITubeSpatialObjectPoint< TPointDimension >::SetTensorMatrix().

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

Get various iterators to the array.

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

Get various iterators to the array.

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

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

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

Return a pointer to the data.

Definition at line 222 of file itkFixedArray.h.

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

Return a pointer to the data.

Definition at line 223 of file itkFixedArray.h.

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

Set/Get element methods are more convenient in wrapping languages

Definition at line 218 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 157 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 151 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 >.

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

Definition at line 194 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

Matrix notation, in const and non-const forms.

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 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 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 ComponentType & r )

Pass-through assignment operator for the Array base class.

template<typename TComponent, unsigned int NDimension = 3>

template<typename TCoordRepB >

Self& itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator= ( const SymmetricSecondRankTensor< TCoordRepB, NDimension > & pa ) [inline]

Templated Pass-through assignment for the Array base class.

Definition at line 124 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

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

reference itk::FixedArray< TComponent , VLength >::operator[] ( unsigned int 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 207 of file itkFixedArray.h.

reference itk::FixedArray< TComponent , VLength >::operator[] ( unsigned long 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 211 of file itkFixedArray.h.

const_reference itk::FixedArray< TComponent , VLength >::operator[] ( long index ) const [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 210 of file itkFixedArray.h.

reference itk::FixedArray< TComponent , VLength >::operator[] ( long 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 209 of file itkFixedArray.h.

const_reference itk::FixedArray< TComponent , VLength >::operator[] ( unsigned long index ) const [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 212 of file itkFixedArray.h.

reference itk::FixedArray< TComponent , VLength >::operator[] ( int 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 205 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 201 of file itkFixedArray.h.

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

const_reference itk::FixedArray< TComponent , VLength >::operator[] ( short index ) const [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 202 of file itkFixedArray.h.

const_reference itk::FixedArray< TComponent , VLength >::operator[] ( int index ) const [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 206 of file itkFixedArray.h.

const_reference itk::FixedArray< TComponent , VLength >::operator[] ( unsigned short index ) const [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 204 of file itkFixedArray.h.

reference itk::FixedArray< TComponent , VLength >::operator[] ( unsigned 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 203 of file itkFixedArray.h.

const_reference itk::FixedArray< TComponent , VLength >::operator[] ( unsigned int index ) const [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 208 of file itkFixedArray.h.

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.

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

Get various iterators to the array.

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

Get various iterators to the array.

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

Get various iterators to the array.

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

Get various iterators to the array.

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 216 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 161 of file itkSymmetricSecondRankTensor.h.

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

Get various iterators to the array.

Member Data Documentation

template<typename TComponent, unsigned int NDimension = 3>

const unsigned int itk::SymmetricSecondRankTensor< TComponent, NDimension >::Dimension = NDimension [static]

Dimension of the vector space.

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

Definition at line 83 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

const unsigned int itk::SymmetricSecondRankTensor< TComponent, NDimension >::InternalDimension = NDimension*(NDimension+1)/2 [static]

Dimension of the vector space.

Definition at line 84 of file itkSymmetricSecondRankTensor.h.

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

const unsigned int itk::FixedArray< TComponent , VLength >::Length [static, inherited]

Length constant

Definition at line 68 of file itkFixedArray.h.

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

itkSymmetricSecondRankTensor.h

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

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Detailed Description

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

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data 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 >