Main Page   Groups   Namespace List   Class Hierarchy   Alphabetical List   Compound List   File List   Namespace Members   Compound Members   File Members   Concepts
Public Types | Public Member Functions | Static Public Member Functions | Static Public Attributes

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

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

#include <itkSymmetricSecondRankTensor.h>

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

List of all members.

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 ValueTypeconst_pointer
typedef const ValueTypeconst_reference
typedef const ValueTypeConstIterator
typedef FixedArray< TComponent,
NDimension > 
EigenValuesArrayType
typedef Matrix< TComponent,
NDimension, NDimension > 
EigenVectorsMatrixType
typedef ValueTypeIterator
typedef Matrix< TComponent,
NDimension, NDimension > 
MatrixType
typedef ValueTypepointer
typedef NumericTraits
< ValueType >::RealType 
RealValueType
typedef ValueTypereference
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 >
Selfoperator= (const SymmetricSecondRankTensor< TCoordRepB, NDimension > &pa)

Selfoperator= (const ComponentType &r)
Selfoperator= (const ComponentArrayType r)

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

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

ValueTypeoperator() (unsigned int row, unsigned int col)
const ValueTypeoperator() (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

ValueTypeGetDataPointer ()
const ValueTypeGetDataPointer () 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:

Generated at Tue Jul 13 2010 02:42:32 for ITK by doxygen 1.7.1 written by Dimitri van Heesch, © 1997-2000