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
	SymmetricSecondRankTensor ()
	SymmetricSecondRankTensor (const ComponentType &r)
template<typename TCoordRepB >
	SymmetricSecondRankTensor (const SymmetricSecondRankTensor< TCoordRepB, NDimension > &pa)
	SymmetricSecondRankTensor (const ComponentArrayType r)
Iterator	Begin ()
ConstIterator	Begin () const
void	ComputeEigenAnalysis (EigenValuesArrayType &eigenValues, EigenVectorsMatrixType &eigenVectors) const
void	ComputeEigenValues (EigenValuesArrayType &eigenValues) const
Iterator	End ()
ConstIterator	End () const
void	Fill (const ValueType &)
ValueType *	GetDataPointer ()
const ValueType *	GetDataPointer () const
const_reference	GetElement (unsigned short index) const
ComponentType	GetNthComponent (int c) const
AccumulateValueType	GetTrace () const
bool	operator!= (const FixedArray &r) const
ValueType &	operator() (unsigned int row, unsigned int col)
const ValueType &	operator() (unsigned int row, unsigned int col) const
Self	operator* (const RealValueType &scalar) const
const Self &	operator*= (const RealValueType &scalar)
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 RealValueType &scalar) const
const Self &	operator/= (const RealValueType &scalar)
template<typename TCoordRepB >
Self &	operator= (const SymmetricSecondRankTensor< TCoordRepB, NDimension > &pa)
Self &	operator= (const ComponentType &r)
Self &	operator= (const ComponentArrayType r)
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
Self	PostMultiply (const MatrixType &m) const
Self	PreMultiply (const MatrixType &m) const
ReverseIterator	rBegin ()
ConstReverseIterator	rBegin () const
ReverseIterator	rEnd ()
ConstReverseIterator	rEnd () const
void	SetElement (unsigned short index, const_reference value)
void	SetIdentity ()
void	SetNthComponent (int c, const ComponentType &v)
SizeType	Size () const

Static Public Member Functions
static FixedArray	Filled (const ValueType &)
static unsigned int	GetNumberOfComponents ()

Static Public Attributes
static const unsigned int	Dimension = NDimension
static const unsigned int	InternalDimension = NDimension*(NDimension+1)/2
static const unsigned int	Length

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 100 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 88 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 116 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 98 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 91 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 95 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 94 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 101 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 104 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 99 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 107 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

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

inline

Definition at line 109 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 113 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 119 of file itkSymmetricSecondRankTensor.h.

Member Function Documentation

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

inherited

Get various iterators to the array.

Get an Iterator for the beginning of the FixedArray.

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

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

inherited

Get a ConstIterator for the beginning of the FixedArray.

template<class T , unsigned int NDimension>

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

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

Compute Eigen analysis, it returns an array with eigen values and a Matrix with eigen vectors

Definition at line 300 of file itkSymmetricSecondRankTensor.txx.

References itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectors().

template<class T , unsigned int NDimension>

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

Return an array containing EigenValues.

Compute Eigen Values

Definition at line 275 of file itkSymmetricSecondRankTensor.txx.

References itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValues().

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

inherited

Get an Iterator for the end of the FixedArray.

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

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

inherited

Get a ConstIterator for the end of the FixedArray.

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

inherited

Fill all elements of the array with the given value.

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

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

staticinherited

Return an FixedArray with all elements assigned to the given value.

ValueType* itk::FixedArray< TComponent , VLength >::GetDataPointer ( )

inlineinherited

Return a pointer to the data.

Definition at line 216 of file itkFixedArray.h.

const ValueType* itk::FixedArray< TComponent , VLength >::GetDataPointer ( ) const

inlineinherited

Definition at line 217 of file itkFixedArray.h.

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

inlineinherited

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 152 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent, unsigned int NDimension = 3>

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

inlinestatic

Return the number of components.

Definition at line 146 of file itkSymmetricSecondRankTensor.h.

Referenced by itk::operator>>().

template<class T , unsigned int NDimension>

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

Get Trace value

Get the Trace

Reimplemented in itk::DiffusionTensor3D< TComponent >.

Definition at line 256 of file itkSymmetricSecondRankTensor.txx.

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

inlineinherited

Definition at line 191 of file itkFixedArray.h.

template<class T , unsigned int NDimension>

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

Matrix notation, in const and non-const forms.

Matrix notation access to elements

Definition at line 211 of file itkSymmetricSecondRankTensor.txx.

template<class T , unsigned int NDimension>

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

Matrix notation access to elements

Definition at line 182 of file itkSymmetricSecondRankTensor.txx.

template<class T , unsigned int NDimension>

SymmetricSecondRankTensor< T, NDimension > itk::SymmetricSecondRankTensor< T, NDimension >::operator* ( const RealValueType & r ) const

Arithmetic operations between tensors and scalars

Performs multiplication with a scalar

Definition at line 150 of file itkSymmetricSecondRankTensor.txx.

template<class T , unsigned int NDimension>

const SymmetricSecondRankTensor< T, NDimension > & itk::SymmetricSecondRankTensor< T, NDimension >::operator*= ( const RealValueType & r )

Performs multiplication by a scalar, in place

Definition at line 120 of file itkSymmetricSecondRankTensor.txx.

template<class T , unsigned int NDimension>

SymmetricSecondRankTensor< T, NDimension > itk::SymmetricSecondRankTensor< T, NDimension >::operator+ ( const Self & r ) const

Aritmetic operations between pixels. Return a new SymmetricSecondRankTensor.

Returns a temporary copy of a vector

Definition at line 58 of file itkSymmetricSecondRankTensor.txx.

template<class T , unsigned int NDimension>

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

Performs addition in place

Definition at line 90 of file itkSymmetricSecondRankTensor.txx.

template<class T , unsigned int NDimension>

SymmetricSecondRankTensor< T, NDimension > itk::SymmetricSecondRankTensor< T, NDimension >::operator- ( const Self & r ) const

Returns a temporary copy of a vector

Definition at line 74 of file itkSymmetricSecondRankTensor.txx.

template<class T , unsigned int NDimension>

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

Performs subtraction in place

Definition at line 105 of file itkSymmetricSecondRankTensor.txx.

template<class T , unsigned int NDimension>

SymmetricSecondRankTensor< T, NDimension > itk::SymmetricSecondRankTensor< T, NDimension >::operator/ ( const RealValueType & r ) const

Performs division by a scalar

Definition at line 166 of file itkSymmetricSecondRankTensor.txx.

template<class T , unsigned int NDimension>

const SymmetricSecondRankTensor< T, NDimension > & itk::SymmetricSecondRankTensor< T, NDimension >::operator/= ( const RealValueType & r )

Performs division by a scalar, in place

Definition at line 135 of file itkSymmetricSecondRankTensor.txx.

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 123 of file itkSymmetricSecondRankTensor.h.

template<class T , unsigned int NDimension>

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

Pass-through assignment operator for the Array base class.

Assignment Operator from a scalar constant

Reimplemented in itk::DiffusionTensor3D< TComponent >.

Definition at line 33 of file itkSymmetricSecondRankTensor.txx.

template<class T , unsigned int NDimension>

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

Assigment from a plain array

Definition at line 46 of file itkSymmetricSecondRankTensor.txx.

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.

Operator != compares different types of arrays.

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

inlineinherited

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 197 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

inlineinherited

Definition at line 198 of file itkFixedArray.h.

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

inlineinherited

Definition at line 199 of file itkFixedArray.h.

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

inlineinherited

Definition at line 200 of file itkFixedArray.h.

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

inlineinherited

Definition at line 201 of file itkFixedArray.h.

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

inlineinherited

Definition at line 202 of file itkFixedArray.h.

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

inlineinherited

Definition at line 203 of file itkFixedArray.h.

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

inlineinherited

Definition at line 204 of file itkFixedArray.h.

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

inlineinherited

Definition at line 205 of file itkFixedArray.h.

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

inlineinherited

Definition at line 206 of file itkFixedArray.h.

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

inlineinherited

Definition at line 207 of file itkFixedArray.h.

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

inlineinherited

Definition at line 208 of file itkFixedArray.h.

template<class T , unsigned int NDimension>

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

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

Post-multiply the Tensor by a Matrix

Definition at line 350 of file itkSymmetricSecondRankTensor.txx.

template<class T , unsigned int NDimension>

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

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

Pre-multiply the Tensor by a Matrix

Definition at line 325 of file itkSymmetricSecondRankTensor.txx.

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

inherited

Get a begin ReverseIterator.

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

inherited

Get a begin ConstReverseIterator.

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

inherited

Get an end ReverseIterator.

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

inherited

Get an end ConstReverseIterator.

void itk::FixedArray< TComponent , VLength >::SetElement	(	unsigned short	index,
		const_reference	value
	)

inlineinherited

Set/Get element methods are more convenient in wrapping languages

Definition at line 211 of file itkFixedArray.h.

template<class T , unsigned int NDimension>

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

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

Set the Tensor to an Identity. Set ones in the diagonal and zeroes every where else.

Definition at line 240 of file itkSymmetricSecondRankTensor.txx.

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 156 of file itkSymmetricSecondRankTensor.h.

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

inherited

Get the size of the FixedArray.

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

Definition at line 84 of file itkSymmetricSecondRankTensor.h.

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

const unsigned int itk::FixedArray< TComponent , VLength >::Length

staticinherited

Length constant

Definition at line 68 of file itkFixedArray.h.

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

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

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