itk::DiffusionTensor3D< TComponent > Class Template Reference
[Image Representation Objects]

#include <itkDiffusionTensor3D.h>

Inheritance diagram for itk::DiffusionTensor3D< TComponent >:

[legend]Collaboration diagram for itk::DiffusionTensor3D< TComponent >:

[legend]List of all members.

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Detailed Description

template<typename TComponent>
class itk::DiffusionTensor3D< TComponent >

Represent a diffusion tensor as used in DTI images.

This class implements a 3D symmetric tensor as it is used for representing diffusion of water molecules in Diffusion Tensor Images.

This class derive from the SymmetricSecondRankTensor and from it inherit most of the Tensor related behavior. At this level we add the methods that are specific to 3D and that are closely related to the concept of diffusion.

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. 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

Note:

This work is part of the National Alliance for Medical Image Computing (NAMIC), funded by the National Institutes of Health through the NIH Roadmap for Medical Research, Grant U54 EB005149. Information on the National Centers for Biomedical Computing can be obtained from http://nihroadmap.nih.gov/bioinformatics.

Contributions by Torsten Rohlfing were funded by the following NIH grants

Alcohol, HIV and the Brain, NIAAA AA12999, PI: A. Pfefferbaum

Normal Aging of Brain Structure and Function NIA AG 17919, PI: E.V. Sullivan.

References

E. R. Melhem, S. Mori, G. Mukundan, M. A. Kraut, M. G. Pomper, and P. C. M. van Zijl, "Diffusion tensor MR imaging of the brain and white matter tractography," Am. J. Roentgenol., vol. 178, pp. 3-16, 2002.

See also:

SymmetricSecondRankTensor

TensorObjects Geometry

Definition at line 79 of file itkDiffusionTensor3D.h.

Public Types
typedef Superclass::AccumulateValueType	AccumulateValueType
typedef FixedArray< TComponent, itkGetStaticConstMacro(InternalDimension)	BaseArray )
typedef Superclass::ComponentArrayType	ComponentArrayType
typedef Superclass::ComponentType	ComponentType
typedef Superclass::EigenValuesArrayType	EigenValuesArrayType
typedef Superclass::EigenVectorsMatrixType	EigenVectorsMatrixType
typedef Matrix< TComponent, NDimension, NDimension >	MatrixType
typedef Superclass::RealValueType	RealValueType
typedef DiffusionTensor3D	Self
typedef SymmetricSecondRankTensor< TComponent, 3 >	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
	DiffusionTensor3D (const ComponentArrayType r)
	DiffusionTensor3D (const ComponentType &r)
	DiffusionTensor3D (const Superclass &r)
Constructor with initialization *	DiffusionTensor3D (const Self &r)
	DiffusionTensor3D ()
RealValueType	GetFractionalAnisotropy () const
RealValueType	GetInnerScalarProduct () const
ComponentType	GetNthComponent (int c) const
RealValueType	GetRelativeAnisotropy () const
AccumulateValueType	GetTrace () const
	itkStaticConstMacro (InternalDimension, unsigned int, NDimension *(NDimension+1)/2)
Dimension of the vector space *	itkStaticConstMacro (Dimension, unsigned int, NDimension)
Arithmetic operations between tensors and scalars *Self	operator * (const RealValueType &scalar) const
const Self &	operator *= (const RealValueType &scalar)
Pass through assignment	operator for the Array base class.*/Self &operator= (const Self &r)
const ValueType &	operator() (unsigned int row, unsigned int col) const
Matrix in const and non const forms *ValueType &	operator() (unsigned int row, unsigned int col)
Aritmetic operations between pixels Return a new SymmetricSecondRankTensor *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)
Self &	operator= (const ComponentArrayType r)
Self &	operator= (const ComponentType &r)
Self &	operator= (const Superclass &r)
void	SetIdentity ()
void	SetNthComponent (int c, const ComponentType &v)
	SymmetricSecondRankTensor (const ComponentArrayType r)
Pass through constructor for the Array base class *	SymmetricSecondRankTensor (const Self &r)
	SymmetricSecondRankTensor (const ComponentType &r)
	SymmetricSecondRankTensor ()
Static Public Member Functions
static unsigned int	GetNumberOfComponents ()
Public Attributes
Matrix	notation

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Member Typedef Documentation

template<typename TComponent> typedef Superclass::AccumulateValueType itk::DiffusionTensor3D< TComponent >::AccumulateValueType

Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >. Definition at line 94 of file itkDiffusionTensor3D.h.

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

Convenience typedefs. Definition at line 89 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent> typedef Superclass::ComponentArrayType itk::DiffusionTensor3D< TComponent >::ComponentArrayType

Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >. Definition at line 92 of file itkDiffusionTensor3D.h.

template<typename TComponent> typedef Superclass::ComponentType itk::DiffusionTensor3D< TComponent >::ComponentType

Define the component type. Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >. Definition at line 88 of file itkDiffusionTensor3D.h.

template<typename TComponent> typedef Superclass::EigenValuesArrayType itk::DiffusionTensor3D< TComponent >::EigenValuesArrayType

Array of eigen-values. Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >. Definition at line 97 of file itkDiffusionTensor3D.h.

template<typename TComponent> typedef Superclass::EigenVectorsMatrixType itk::DiffusionTensor3D< TComponent >::EigenVectorsMatrixType

Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >. Definition at line 98 of file itkDiffusionTensor3D.h.

typedef Matrix<TComponent , NDimension, NDimension> itk::SymmetricSecondRankTensor< TComponent , NDimension >::MatrixType [inherited]

Matrix of eigen-vectors. Definition at line 95 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent> typedef Superclass::RealValueType itk::DiffusionTensor3D< TComponent >::RealValueType

Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >. Definition at line 95 of file itkDiffusionTensor3D.h.

template<typename TComponent> typedef DiffusionTensor3D itk::DiffusionTensor3D< TComponent >::Self

Standard class typedefs. Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >. Definition at line 83 of file itkDiffusionTensor3D.h.

template<typename TComponent> typedef SymmetricSecondRankTensor<TComponent, 3> itk::DiffusionTensor3D< TComponent >::Superclass

Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >. Definition at line 84 of file itkDiffusionTensor3D.h.

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

Definition at line 105 of file itkSymmetricSecondRankTensor.h.

template<typename TComponent> typedef Superclass::ValueType itk::DiffusionTensor3D< TComponent >::ValueType

Propagating some typedef from the superclass Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >. Definition at line 87 of file itkDiffusionTensor3D.h.

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Constructor & Destructor Documentation

template<typename TComponent> itk::DiffusionTensor3D< TComponent >::DiffusionTensor3D (   )

Default Constructor.

template<typename TComponent> Constructor with initialization* itk::DiffusionTensor3D< TComponent >::DiffusionTensor3D (  const Self &  r  )

template<typename TComponent> itk::DiffusionTensor3D< TComponent >::DiffusionTensor3D (  const Superclass &  r  )

template<typename TComponent> itk::DiffusionTensor3D< TComponent >::DiffusionTensor3D (  const ComponentType &  r  )

template<typename TComponent> itk::DiffusionTensor3D< TComponent >::DiffusionTensor3D (  const ComponentArrayType  r  )

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Member Function Documentation

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

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

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

Return an array containing EigenValues.

template<typename TComponent> RealValueType itk::DiffusionTensor3D< TComponent >::GetFractionalAnisotropy (   )  const

Get the value of Fractional Anisotropy from the Tensor.

template<typename TComponent> RealValueType itk::DiffusionTensor3D< TComponent >::GetInnerScalarProduct (   )  const

Get the Inner Scalar Product from the Tensor.

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

Return the value for the Nth component. Definition at line 146 of file itkSymmetricSecondRankTensor.h.

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

Return the number of components. Definition at line 140 of file itkSymmetricSecondRankTensor.h. References itkGetStaticConstMacro.

template<typename TComponent> RealValueType itk::DiffusionTensor3D< TComponent >::GetRelativeAnisotropy (   )  const

Get the value of Relative Anisotropy from the Tensor.

template<typename TComponent> AccumulateValueType itk::DiffusionTensor3D< TComponent >::GetTrace (   )  const

Get Trace value Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >.

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

Dimension of the vector space* itk::SymmetricSecondRankTensor< TComponent , NDimension >::itkStaticConstMacro (  Dimension  , unsigned  int, NDimension  )  [inherited]

Arithmetic operations between tensors and scalars* Self itk::SymmetricSecondRankTensor< TComponent , NDimension >::operator * (  const RealValueType &  scalar  )  const [inherited]

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

template<typename TComponent> Pass through assignment itk::DiffusionTensor3D< TComponent >::operator for the Array base class.*/Self &operator= (  const Self &  r  )

Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >.

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

Matrix in const and non const forms* ValueType& itk::SymmetricSecondRankTensor< TComponent , NDimension >::operator() (  unsigned int  row, unsigned int  col )  [inherited]

Aritmetic operations between pixels Return a new SymmetricSecondRankTensor* Self itk::SymmetricSecondRankTensor< TComponent , NDimension >::operator+ (  const Self &  vec  )  const [inherited]

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

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

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

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

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

template<typename TComponent> Self& itk::DiffusionTensor3D< TComponent >::operator= (  const ComponentArrayType  r  )

Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >.

template<typename TComponent> Self& itk::DiffusionTensor3D< TComponent >::operator= (  const ComponentType &  r  )

Reimplemented from itk::SymmetricSecondRankTensor< TComponent, 3 >.

template<typename TComponent> Self& itk::DiffusionTensor3D< TComponent >::operator= (  const Superclass &  r  )

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

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

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

Set the Nth component to v. Definition at line 150 of file itkSymmetricSecondRankTensor.h.

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

Definition at line 116 of file itkSymmetricSecondRankTensor.h.

Pass through constructor for the Array base class* itk::SymmetricSecondRankTensor< TComponent , NDimension >::SymmetricSecondRankTensor (  const Self &  r  )  [inline, inherited]

Definition at line 115 of file itkSymmetricSecondRankTensor.h.

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

Definition at line 110 of file itkSymmetricSecondRankTensor.h.

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

Default constructor has nothing to do. Definition at line 108 of file itkSymmetricSecondRankTensor.h.

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Member Data Documentation

Matrix itk::SymmetricSecondRankTensor< TComponent , NDimension >::notation [inherited]

Definition at line 153 of file itkSymmetricSecondRankTensor.h.

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

• itkDiffusionTensor3D.h

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