#include <itkDiffusionTensor3D.h>

Inheritance diagram for itk::DiffusionTensor3D< TComponent >:

Collaboration diagram for itk::DiffusionTensor3D< TComponent >:

Public Types
using	AccumulateValueType = typename Superclass::AccumulateValueType

using	ComponentArrayType = typename Superclass::ComponentArrayType

using	ComponentType = typename Superclass::ComponentType

using	EigenValuesArrayType = typename Superclass::EigenValuesArrayType

using	EigenVectorsMatrixType = typename Superclass::EigenVectorsMatrixType

using	RealValueType = typename Superclass::RealValueType

using	Self = DiffusionTensor3D

using	Superclass = SymmetricSecondRankTensor< TComponent, 3 >

using	ValueType = typename Superclass::ValueType

Public Types inherited from itk::SymmetricSecondRankTensor< TComponent, 3 >
using	AccumulateValueType = typename NumericTraits< ValueType >::RealType

using	BaseArray = FixedArray< TComponent, Self::InternalDimension >

using	ComponentType = TComponent

using	EigenValuesArrayType = FixedArray< TComponent, NDimension >

using	EigenVectorsMatrixType = Matrix< TComponent, NDimension, NDimension >

using	MatrixType = Matrix< TComponent, NDimension, NDimension >

using	RealValueType = typename NumericTraits< ValueType >::RealType

using	Self = SymmetricSecondRankTensor

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

using	SymmetricEigenAnalysisType = SymmetricEigenAnalysisFixedDimension< Dimension, MatrixType, EigenValuesArrayType, EigenVectorsMatrixType >

using	ValueType = typename Superclass::ValueType

using	ComponentArrayType = ComponentType[Self::InternalDimension]

Public Types inherited from itk::FixedArray< TComponent, NDimension *(NDimension+1)/2 >
using	CArray = ValueType[VLength]

using	const_iterator = const ValueType *

using	const_pointer = const ValueType *

using	const_reference = const ValueType &

using	const_reverse_iterator = std::reverse_iterator< const_iterator >

using	ConstIterator = const ValueType *

using	Iterator = ValueType *

using	iterator = ValueType *

using	pointer = ValueType *

using	reference = ValueType &

using	reverse_iterator = std::reverse_iterator< iterator >

using	SizeType = unsigned int

using	ValueType = TComponent

Public Member Functions
	DiffusionTensor3D ()=default


	DiffusionTensor3D (const Superclass &r)

	DiffusionTensor3D (const ComponentType &r)

	DiffusionTensor3D (const ComponentArrayType r)

template<typename TCoordRepB >
	DiffusionTensor3D (const DiffusionTensor3D< TCoordRepB > &pa)

Self &	operator= (const Superclass &r)

Self &	operator= (const ComponentType &r)

Self &	operator= (const ComponentArrayType r)

template<typename TCoordRepB >
Self &	operator= (const DiffusionTensor3D< TCoordRepB > &pa)

AccumulateValueType	GetTrace () const

RealValueType	GetFractionalAnisotropy () const

RealValueType	GetRelativeAnisotropy () const

RealValueType	GetInnerScalarProduct () const

Public Member Functions inherited from itk::SymmetricSecondRankTensor< TComponent, 3 >
	SymmetricSecondRankTensor ()

	SymmetricSecondRankTensor (const SymmetricSecondRankTensor &)=default

	SymmetricSecondRankTensor (SymmetricSecondRankTensor &&)=default

	SymmetricSecondRankTensor (const ComponentType &r)

	SymmetricSecondRankTensor (const SymmetricSecondRankTensor< TCoordRepB, NDimension > &pa)

	SymmetricSecondRankTensor (const ComponentArrayType r)

SymmetricSecondRankTensor &	operator= (const SymmetricSecondRankTensor &)=default

SymmetricSecondRankTensor &	operator= (SymmetricSecondRankTensor &&)=default

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

Self &	operator= (const ComponentType &r)

Self &	operator= (const ComponentArrayType r)

	~SymmetricSecondRankTensor ()=default

Self	operator+ (const Self &r) const

Self	operator- (const Self &r) const

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

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

Self	operator* (const RealValueType &r) const

Self	operator/ (const RealValueType &r) const

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

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

ComponentType	GetNthComponent (int c) const

void	SetNthComponent (int c, const ComponentType &v)

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

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

void	SetIdentity ()

AccumulateValueType	GetTrace () const

void	ComputeEigenValues (EigenValuesArrayType &eigenValues) const

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

Self	Rotate (const Matrix< TMatrixValueType, NDimension, NDimension > &m) const

Self	Rotate (const vnl_matrix_fixed< TMatrixValueType, NDimension, NDimension > &m) const

Self	Rotate (const vnl_matrix< TMatrixValueType > &m) const

MatrixType	PreMultiply (const MatrixType &m) const

MatrixType	PostMultiply (const MatrixType &m) const

Public Member Functions inherited from itk::FixedArray< TComponent, NDimension *(NDimension+1)/2 >
	FixedArray ()=default

	FixedArray (const FixedArray &)=default

	FixedArray (FixedArray &&)=default

	FixedArray (const ValueType r[VLength])

	FixedArray (const ValueType &)

	FixedArray (const std::array< ValueType, VLength > &stdArray)

	FixedArray (const FixedArray< TFixedArrayValueType, VLength > &r)

	FixedArray (const TScalarValue *r)

FixedArray &	operator= (const FixedArray &)=default

FixedArray &	operator= (FixedArray &&)=default

FixedArray &	operator= (const FixedArray< TFixedArrayValueType, VLength > &r)

FixedArray &	operator= (const ValueType r[VLength])

	~FixedArray ()=default

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

reference	operator[] (long long index)

const_reference	operator[] (long long index) const

reference	operator[] (unsigned long long index)

const_reference	operator[] (unsigned long long index) const

void	SetElement (unsigned int index, const_reference value)

const_reference	GetElement (unsigned int index) const

ValueType *	GetDataPointer ()

const ValueType *	GetDataPointer () const

ValueType *	data ()

const ValueType *	data () const

Iterator	Begin ()

ConstIterator	Begin () const

Iterator	End ()

ConstIterator	End () const

	itkLegacyMacro (ReverseIterator rBegin())

	itkLegacyMacro (ConstReverseIterator rBegin() const)

	itkLegacyMacro (ReverseIterator rEnd())

	itkLegacyMacro (ConstReverseIterator rEnd() const)

const_iterator	cbegin () const noexcept

iterator	begin () noexcept

const_iterator	begin () const noexcept

const_iterator	cend () const noexcept

iterator	end () noexcept

const_iterator	end () const noexcept

reverse_iterator	rbegin ()

const_reverse_iterator	rbegin () const

const_reverse_iterator	crbegin () const

reverse_iterator	rend ()

const_reverse_iterator	rend () const

const_reverse_iterator	crend () const

SizeType	Size () const

constexpr SizeType	size () const

void	Fill (const ValueType &)

void	swap (FixedArray &other)

Additional Inherited Members
Static Public Member Functions inherited from itk::SymmetricSecondRankTensor< TComponent, 3 >
static unsigned int	GetNumberOfComponents ()

Static Public Member Functions inherited from itk::FixedArray< TComponent, NDimension *(NDimension+1)/2 >
static FixedArray	Filled (const ValueType &)

Static Public Attributes inherited from itk::SymmetricSecondRankTensor< TComponent, 3 >
static constexpr unsigned int	Dimension

static constexpr unsigned int	InternalDimension

Static Public Attributes inherited from itk::FixedArray< TComponent, NDimension *(NDimension+1)/2 >
static constexpr unsigned int	Dimension

static constexpr unsigned int	Length

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 derives from the SymmetricSecondRankTensor, inheriting 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://commonfund.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

Definition at line 79 of file itkDiffusionTensor3D.h.

Member Typedef Documentation

◆ AccumulateValueType

template<typename TComponent>

using itk::DiffusionTensor3D< TComponent >::AccumulateValueType = typename Superclass::AccumulateValueType

Definition at line 91 of file itkDiffusionTensor3D.h.

◆ ComponentArrayType

template<typename TComponent>

using itk::DiffusionTensor3D< TComponent >::ComponentArrayType = typename Superclass::ComponentArrayType

Definition at line 89 of file itkDiffusionTensor3D.h.

◆ ComponentType

template<typename TComponent>

using itk::DiffusionTensor3D< TComponent >::ComponentType = typename Superclass::ComponentType

Definition at line 88 of file itkDiffusionTensor3D.h.

◆ EigenValuesArrayType

template<typename TComponent>

using itk::DiffusionTensor3D< TComponent >::EigenValuesArrayType = typename Superclass::EigenValuesArrayType

Definition at line 94 of file itkDiffusionTensor3D.h.

◆ EigenVectorsMatrixType

template<typename TComponent>

using itk::DiffusionTensor3D< TComponent >::EigenVectorsMatrixType = typename Superclass::EigenVectorsMatrixType

Definition at line 95 of file itkDiffusionTensor3D.h.

◆ RealValueType

template<typename TComponent>

using itk::DiffusionTensor3D< TComponent >::RealValueType = typename Superclass::RealValueType

Definition at line 92 of file itkDiffusionTensor3D.h.

◆ Self

template<typename TComponent>

using itk::DiffusionTensor3D< TComponent >::Self = DiffusionTensor3D

Standard class type aliases.

Definition at line 83 of file itkDiffusionTensor3D.h.

◆ Superclass

template<typename TComponent>

using itk::DiffusionTensor3D< TComponent >::Superclass = SymmetricSecondRankTensor<TComponent, 3>

Definition at line 84 of file itkDiffusionTensor3D.h.

◆ ValueType

template<typename TComponent>

using itk::DiffusionTensor3D< TComponent >::ValueType = typename Superclass::ValueType

Propagating some type alias from the superclass

Definition at line 87 of file itkDiffusionTensor3D.h.

Constructor & Destructor Documentation

◆ DiffusionTensor3D() [1/5]

template<typename TComponent>

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

default

Default Constructor.

◆ DiffusionTensor3D() [2/5]

template<typename TComponent>

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

Constructor with initialization.

◆ DiffusionTensor3D() [3/5]

template<typename TComponent>

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

Constructor with initialization.

◆ DiffusionTensor3D() [4/5]

template<typename TComponent>

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

Constructor with initialization.

◆ DiffusionTensor3D() [5/5]

template<typename TComponent>

template<typename TCoordRepB >

itk::DiffusionTensor3D< TComponent >::DiffusionTensor3D ( const DiffusionTensor3D< TCoordRepB > & pa )

inline

Constructor to enable casting...

Definition at line 108 of file itkDiffusionTensor3D.h.

Member Function Documentation

◆ GetFractionalAnisotropy()

template<typename TComponent>

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

Get the value of Fractional Anisotropy from the Tensor.

◆ GetInnerScalarProduct()

template<typename TComponent>

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

Get the Inner Scalar Product from the Tensor.

◆ GetRelativeAnisotropy()

template<typename TComponent>

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

Get the value of Relative Anisotropy from the Tensor.

◆ GetTrace()

template<typename TComponent>

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

Get Trace value

◆ operator=() [1/4]

template<typename TComponent>

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

Constructor with initialization.

◆ operator=() [2/4]

template<typename TComponent>

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

Constructor with initialization.

◆ operator=() [3/4]

template<typename TComponent>

template<typename TCoordRepB >

Self& itk::DiffusionTensor3D< TComponent >::operator= ( const DiffusionTensor3D< TCoordRepB > & pa )

inline

Templated Pass-through assignment for the Array base class.

Definition at line 125 of file itkDiffusionTensor3D.h.

References itk::SymmetricSecondRankTensor< TComponent, NDimension >::operator=().

◆ operator=() [4/4]

template<typename TComponent>

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

Pass-through assignment operator for the Array base class.

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

itkDiffusionTensor3D.h

Public Types

Public Member Functions

Additional Inherited Members

Detailed Description

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

Member Typedef Documentation

◆ AccumulateValueType

◆ ComponentArrayType

◆ ComponentType

◆ EigenValuesArrayType

◆ EigenVectorsMatrixType

◆ RealValueType

◆ Self

◆ Superclass

◆ ValueType

Constructor & Destructor Documentation

◆ DiffusionTensor3D() [1/5]

◆ DiffusionTensor3D() [2/5]

◆ DiffusionTensor3D() [3/5]

◆ DiffusionTensor3D() [4/5]

◆ DiffusionTensor3D() [5/5]

Member Function Documentation

◆ GetFractionalAnisotropy()

◆ GetInnerScalarProduct()

◆ GetRelativeAnisotropy()

◆ GetTrace()

◆ operator=() [1/4]

◆ operator=() [2/4]

◆ operator=() [3/4]

◆ operator=() [4/4]

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