#include <itkSymmetricEigenAnalysis.h>

Inheritance diagram for itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >:

Public Types
using	EigenMatrixType = TEigenMatrix

using	EigenValueOrderEnum = itk::EigenValueOrderEnum

using	MatrixType = TMatrix

using	VectorType = TVector

Public Member Functions
unsigned int	ComputeEigenValues (const TMatrix &A, TVector &D) const

unsigned int	ComputeEigenValuesAndVectors (const TMatrix &A, TVector &EigenValues, TEigenMatrix &EigenVectors) const

unsigned int	GetOrder () const

void	SetOrder (const unsigned int n)

	SymmetricEigenAnalysis ()=default

	SymmetricEigenAnalysis (const unsigned int dimension)

	~SymmetricEigenAnalysis ()=default

bool	m_UseEigenLibrary { false }

unsigned int	m_Dimension { 0 }

unsigned int	m_Order { 0 }

EigenValueOrderEnum	m_OrderEigenValues { EigenValueOrderEnum::OrderByValue }

void	SetOrderEigenValues (const bool b)

bool	GetOrderEigenValues () const

void	SetOrderEigenMagnitudes (const bool b)

bool	GetOrderEigenMagnitudes () const

void	SetDimension (const unsigned int n)

unsigned int	GetDimension () const

void	SetUseEigenLibrary (const bool input)

void	SetUseEigenLibraryOn ()

void	SetUseEigenLibraryOff ()

bool	GetUseEigenLibrary () const

void	ReduceToTridiagonalMatrix (double a, double d, double e, double e2) const

void	ReduceToTridiagonalMatrixAndGetTransformation (const double a, double d, double e, double z) const

unsigned int	ComputeEigenValuesUsingQL (double d, double e) const

unsigned int	ComputeEigenValuesAndVectorsUsingQL (double d, double e, double *z) const

unsigned int	ComputeEigenValuesLegacy (const TMatrix &A, TVector &D) const

unsigned int	ComputeEigenValuesAndVectorsLegacy (const TMatrix &A, TVector &EigenValues, TEigenMatrix &EigenVectors) const

template<typename QMatrix = TMatrix>
auto	GetMatrixValueType (bool) const -> typename QMatrix::element_type

template<typename QMatrix = TMatrix>
auto	GetMatrixValueType (...) const -> typename QMatrix::ValueType

unsigned int	ComputeEigenValuesAndVectorsWithEigenLibrary (const TMatrix &A, TVector &EigenValues, TEigenMatrix &EigenVectors) const

template<typename QMatrix >
auto	ComputeEigenValuesAndVectorsWithEigenLibraryImpl (const QMatrix &A, TVector &EigenValues, TEigenMatrix &EigenVectors, long) const -> decltype(static_cast< unsigned int >(1))

template<typename QMatrix >
auto	ComputeEigenValuesAndVectorsWithEigenLibraryImpl (const QMatrix &A, TVector &EigenValues, TEigenMatrix &EigenVectors, bool) const -> decltype(GetPointerToMatrixData(A), static_cast< unsigned int >(1))

unsigned int	ComputeEigenValuesWithEigenLibrary (const TMatrix &A, TVector &EigenValues) const

template<typename QMatrix >
auto	ComputeEigenValuesWithEigenLibraryImpl (const QMatrix &A, TVector &EigenValues, long) const -> decltype(static_cast< unsigned int >(1))

template<typename QMatrix >
auto	ComputeEigenValuesWithEigenLibraryImpl (const QMatrix &A, TVector &EigenValues, bool) const -> decltype(GetPointerToMatrixData(A), static_cast< unsigned int >(1))

Detailed Description

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>
class itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >

Find Eigen values of a real 2D symmetric matrix. It serves as a thread-safe alternative to the class: vnl_symmetric_eigensystem, which uses netlib routines.

The class is templated over the input matrix (which is expected to provide access to its elements with the [][] operator), matrix to store eigen values (must provide write operations on its elements with the [] operator), and EigenMatrix to store eigen vectors (must provide write access to its elements with the [][] operator).

The SetOrderEigenValues() method can be used to order eigen values (and their corresponding eigen vectors if computed) in ascending order. This is the default ordering scheme. Eigen vectors and values can be obtained without ordering by calling SetOrderEigenValues(false).

The SetOrderEigenMagnitudes() method can be used to order eigen values (and their corresponding eigen vectors if computed) by magnitude in ascending order.

The user of this class is explicitly supposed to set the dimension of the 2D matrix using the SetDimension() method.

The class contains routines taken from netlib sources (www.netlib.org). netlib/tql1.c netlib/tql2.c netlib/tred1.c netlib/tred2.c

Reference: num. math. 11, 293-306(1968) by bowdler, martin, reinsch, and wilkinson. handbook for auto. comp., vol.ii-linear algebra, 227-240(1971).

Definition at line 203 of file itkSymmetricEigenAnalysis.h.

Member Typedef Documentation

◆ EigenMatrixType

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

using itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::EigenMatrixType = TEigenMatrix

Definition at line 222 of file itkSymmetricEigenAnalysis.h.

◆ EigenValueOrderEnum

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

using itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::EigenValueOrderEnum = itk::EigenValueOrderEnum

Definition at line 206 of file itkSymmetricEigenAnalysis.h.

◆ MatrixType

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

using itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::MatrixType = TMatrix

Definition at line 221 of file itkSymmetricEigenAnalysis.h.

◆ VectorType

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

using itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::VectorType = TVector

Definition at line 223 of file itkSymmetricEigenAnalysis.h.

Constructor & Destructor Documentation

◆ SymmetricEigenAnalysis() [1/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SymmetricEigenAnalysis ( )

default

◆ SymmetricEigenAnalysis() [2/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SymmetricEigenAnalysis ( const unsigned int dimension )

inline

Definition at line 214 of file itkSymmetricEigenAnalysis.h.

◆ ~SymmetricEigenAnalysis()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::~SymmetricEigenAnalysis ( )

default

Member Function Documentation

◆ ComputeEigenValues()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValues	(	const TMatrix &	A,
		TVector &	D
	)		const

Compute Eigen values of A A is any type that overloads the [][] operator and contains the symmetric matrix. In practice only the upper triangle of the matrix will be accessed. (Both itk::Matrix and vnl_matrix overload [][] operator.)

'EigenValues' is any type that overloads the [][] operator and will contain the eigen values.

No size checking is performed. A is expected to be a square matrix of size m_Dimension. 'EigenValues' is expected to be of length m_Dimension. The matrix is not checked to see if it is symmetric.

Referenced by itk::Functor::SymmetricEigenAnalysisFunction< TInputImage::PixelType, TOutputImage::PixelType >::operator()().

◆ ComputeEigenValuesAndVectors()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectors	(	const TMatrix &	A,
		TVector &	EigenValues,
		TEigenMatrix &	EigenVectors
	)		const

Compute Eigen values and vectors of A A is any type that overloads the [][] operator and contains the symmetric matrix. In practice only the upper triangle of the matrix will be accessed. (Both itk::Matrix and vnl_matrix overload [][] operator.)

'EigenValues' is any type that overloads the [] operator and will contain the eigen values.

'EigenVectors' is any type that provides access to its elements with the [][] operator. It is expected be of size m_Dimension * m_Dimension.

No size checking is performed. A is expected to be a square matrix of size m_Dimension. 'EigenValues' is expected to be of length m_Dimension. The matrix is not checked to see if it is symmetric.

Each row of the matrix 'EigenVectors' represents an eigen vector. (unlike MATLAB where the columns of the [EigenVectors, EigenValues] = eig(A) contains the eigenvectors).

◆ ComputeEigenValuesAndVectorsLegacy()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectorsLegacy	(	const TMatrix &	A,
		TVector &	EigenValues,
		TEigenMatrix &	EigenVectors
	)		const

private

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

◆ ComputeEigenValuesAndVectorsUsingQL()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectorsUsingQL	(	double *	d,
		double *	e,
		double *	z
	)		const

private

Finds the eigenvalues and eigenvectors of a symmetric tridiagonal matrix by the ql method.

On input: 'd' contains the diagonal elements of the input matrix. 'e' contains the subdiagonal elements of the input matrix in its last n-1 positions. e(1) is arbitrary. 'z' contains the transformation matrix produced in the reduction by ReduceToTridiagonalMatrixAndGetTransformation(), if performed. If the eigenvectors of the tridiagonal matrix are desired, z must contain the identity matrix.

On Output: 'd' contains the eigenvalues. 'e' has been destroyed. 'z' contains orthonormal eigenvectors of the symmetric tridiagonal (or full) matrix.

Returns: zero for normal return, j if the j-th eigenvalue has not been determined after 1000 iterations.

Reference This subroutine is a translation of the algol procedure tql1, num. math. 11, 293-306(1968) by bowdler, martin, reinsch, and wilkinson. handbook for auto. comp., vol.ii-linear algebra, 227-240(1971).

Questions and comments should be directed to Burton s. Garbow, Mathematics and Computer Science Div., Argonne National Laboratory. This version dated august 1983.

Function Adapted from netlib/tql2.c. [Changed: remove static vars, enforce const correctness. Use vnl routines as necessary]

◆ ComputeEigenValuesAndVectorsWithEigenLibrary()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectorsWithEigenLibrary	(	const TMatrix &	A,
		TVector &	EigenValues,
		TEigenMatrix &	EigenVectors
	)		const

inlineprivate

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 533 of file itkSymmetricEigenAnalysis.h.

◆ ComputeEigenValuesAndVectorsWithEigenLibraryImpl() [1/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

template<typename QMatrix >

auto itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectorsWithEigenLibraryImpl	(	const QMatrix &	A,
		TVector &	EigenValues,
		TEigenMatrix &	EigenVectors,
		bool
	)		const -> decltype(GetPointerToMatrixData(A), static_cast<unsigned int>(1))

inlineprivate

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 614 of file itkSymmetricEigenAnalysis.h.

◆ ComputeEigenValuesAndVectorsWithEigenLibraryImpl() [2/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

template<typename QMatrix >

auto itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesAndVectorsWithEigenLibraryImpl	(	const QMatrix &	A,
		TVector &	EigenValues,
		TEigenMatrix &	EigenVectors,
		long
	)		const -> decltype(static_cast<unsigned int>(1))

inlineprivate

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 548 of file itkSymmetricEigenAnalysis.h.

◆ ComputeEigenValuesLegacy()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesLegacy	(	const TMatrix &	A,
		TVector &	D
	)		const

private

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

◆ ComputeEigenValuesUsingQL()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesUsingQL	(	double *	d,
		double *	e
	)		const

private

Finds the eigenvalues of a symmetric tridiagonal matrix by the ql method.

On input: 'd' contains the diagonal elements of the input matrix. 'e' contains the subdiagonal elements of the input matrix in its last n-1 positions. e(1) is arbitrary. On Output: 'd' contains the eigenvalues. 'e' has been destroyed.

Returns: zero for normal return, j if the j-th eigenvalue has not been determined after 30 iterations.

Reference This subroutine is a translation of the algol procedure tql1, num. math. 11, 293-306(1968) by bowdler, martin, reinsch, and wilkinson. handbook for auto. comp., vol.ii-linear algebra, 227-240(1971).

Questions and comments should be directed to Burton s. Garbow, Mathematics and Computer Science Div., Argonne National Laboratory. This version dated august 1983.

Function Adapted from netlib/tql1.c. [Changed: remove static vars, enforce const correctness. Use vnl routines as necessary]

◆ ComputeEigenValuesWithEigenLibrary()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesWithEigenLibrary	(	const TMatrix &	A,
		TVector &	EigenValues
	)		const

inlineprivate

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 666 of file itkSymmetricEigenAnalysis.h.

◆ ComputeEigenValuesWithEigenLibraryImpl() [1/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

template<typename QMatrix >

auto itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesWithEigenLibraryImpl	(	const QMatrix &	A,
		TVector &	EigenValues,
		bool
	)		const -> decltype(GetPointerToMatrixData(A), static_cast<unsigned int>(1))

inlineprivate

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 719 of file itkSymmetricEigenAnalysis.h.

◆ ComputeEigenValuesWithEigenLibraryImpl() [2/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

template<typename QMatrix >

auto itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ComputeEigenValuesWithEigenLibraryImpl	(	const QMatrix &	A,
		TVector &	EigenValues,
		long
	)		const -> decltype(static_cast<unsigned int>(1))

inlineprivate

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 679 of file itkSymmetricEigenAnalysis.h.

◆ GetDimension()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetDimension ( ) const

inline

Get Matrix dimension, Will be 0 unless explicitly set by a call to SetDimension.

Definition at line 343 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::Functor::SymmetricEigenAnalysisFunction< TInputImage::PixelType, TOutputImage::PixelType >::GetDimension(), and itk::operator<<().

◆ GetMatrixValueType() [1/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

template<typename QMatrix = TMatrix>

auto itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetMatrixValueType ( ... ) const -> typename QMatrix::ValueType

inlineprivate

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 526 of file itkSymmetricEigenAnalysis.h.

◆ GetMatrixValueType() [2/2]

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

template<typename QMatrix = TMatrix>

auto itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetMatrixValueType ( bool ) const -> typename QMatrix::element_type

inlineprivate

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 520 of file itkSymmetricEigenAnalysis.h.

◆ GetOrder()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetOrder ( ) const

inline

Get the Matrix order. Will be 0 unless explicitly set, or unless a call to SetDimension has been made in which case it will be the matrix dimension.

Definition at line 276 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::operator<<().

◆ GetOrderEigenMagnitudes()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

bool itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetOrderEigenMagnitudes ( ) const

inline

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 322 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::Functor::SymmetricEigenAnalysisFunction< TInputImage::PixelType, TOutputImage::PixelType >::GetOrderEigenValuesBy(), and itk::operator<<().

◆ GetOrderEigenValues()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

bool itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetOrderEigenValues ( ) const

inline

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 299 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::Functor::SymmetricEigenAnalysisFunction< TInputImage::PixelType, TOutputImage::PixelType >::GetOrderEigenValuesBy(), and itk::operator<<().

◆ GetUseEigenLibrary()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

bool itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::GetUseEigenLibrary ( ) const

inline

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 365 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::operator<<().

◆ ReduceToTridiagonalMatrix()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ReduceToTridiagonalMatrix	(	double *	a,
		double *	d,
		double *	e,
		double *	e2
	)		const

private

Reduces a real symmetric matrix to a symmetric tridiagonal matrix using orthogonal similarity transformations. 'inputMatrix' contains the real symmetric input matrix. Only the lower triangle of the matrix need be supplied. The upper triangle is unaltered. 'd' contains the diagonal elements of the tridiagonal matrix. 'e' contains the subdiagonal elements of the tridiagonal matrix in its last n-1 positions. e(1) is set to zero. 'e2' contains the squares of the corresponding elements of e. 'e2' may coincide with e if the squares are not needed. questions and comments should be directed to burton s. garbow. mathematics and computer science div, argonne national laboratory this version dated august 1983.

Function adapted from netlib/tred1.c. [Changed: remove static vars, enforce const correctness. Use vnl routines as necessary]. Reference: num. math. 11, 181-195(1968) by martin, reinsch, and wilkinson. handbook for auto. comp., vol.ii-linear algebra, 212-226(1971).

◆ ReduceToTridiagonalMatrixAndGetTransformation()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::ReduceToTridiagonalMatrixAndGetTransformation	(	const double *	a,
		double *	d,
		double *	e,
		double *	z
	)		const

private

Reduces a real symmetric matrix to a symmetric tridiagonal matrix using and accumulating orthogonal similarity transformations. 'inputMatrix' contains the real symmetric input matrix. Only the lower triangle of the matrix need be supplied. The upper triangle is unaltered. 'diagonalElements' will contains the diagonal elements of the tridiagonal matrix. 'subDiagonalElements' will contain the subdiagonal elements of the tridiagonal matrix in its last n-1 positions. subDiagonalElements(1) is set to zero. 'transformMatrix' contains the orthogonal transformation matrix produced in the reduction.

Questions and comments should be directed to Burton s. Garbow, Mathematics and Computer Science Div., Argonne National Laboratory. This version dated august 1983.

Function adapted from netlib/tred2.c. [Changed: remove static vars, enforce const correctness. Use vnl routines as necessary]. Reference: num. math. 11, 181-195(1968) by martin, reinsch, and wilkinson. handbook for auto. comp., vol.ii-linear algebra, 212-226(1971).

◆ SetDimension()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetDimension ( const unsigned int n )

inline

Set the dimension of the input matrix A. A is a square matrix of size m_Dimension.

Definition at line 330 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::Functor::SymmetricEigenAnalysisFunction< TInputImage::PixelType, TOutputImage::PixelType >::SetDimension().

◆ SetOrder()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetOrder ( const unsigned int n )

inline

Matrix order. Defaults to matrix dimension if not set

Definition at line 267 of file itkSymmetricEigenAnalysis.h.

◆ SetOrderEigenMagnitudes()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetOrderEigenMagnitudes ( const bool b )

inline

Set/Get methods to order the eigen value magnitudes in ascending order. In other words, |lambda_1| < |lambda_2| < .....

Definition at line 308 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::Functor::SymmetricEigenAnalysisFunction< TInputImage::PixelType, TOutputImage::PixelType >::OrderEigenValuesBy().

◆ SetOrderEigenValues()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetOrderEigenValues ( const bool b )

inline

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 285 of file itkSymmetricEigenAnalysis.h.

Referenced by itk::Functor::SymmetricEigenAnalysisFunction< TInputImage::PixelType, TOutputImage::PixelType >::OrderEigenValuesBy().

◆ SetUseEigenLibrary()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetUseEigenLibrary ( const bool input )

inline

Set/Get to use Eigen library instead of vnl/netlib.

Definition at line 350 of file itkSymmetricEigenAnalysis.h.

◆ SetUseEigenLibraryOff()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetUseEigenLibraryOff ( )

inline

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 360 of file itkSymmetricEigenAnalysis.h.

◆ SetUseEigenLibraryOn()

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

void itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::SetUseEigenLibraryOn ( )

inline

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 355 of file itkSymmetricEigenAnalysis.h.

Member Data Documentation

◆ m_Dimension

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::m_Dimension { 0 }

private

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 373 of file itkSymmetricEigenAnalysis.h.

◆ m_Order

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

unsigned int itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::m_Order { 0 }

private

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 374 of file itkSymmetricEigenAnalysis.h.

◆ m_OrderEigenValues

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

EigenValueOrderEnum itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::m_OrderEigenValues { EigenValueOrderEnum::OrderByValue }

private

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 375 of file itkSymmetricEigenAnalysis.h.

◆ m_UseEigenLibrary

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>

bool itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >::m_UseEigenLibrary { false }

private

Set/Get methods to order the eigen values in ascending order. This is the default. ie lambda_1 < lambda_2 < ....

Definition at line 372 of file itkSymmetricEigenAnalysis.h.

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

itkSymmetricEigenAnalysis.h

Public Types

Public Member Functions

Detailed Description

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix> class itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >

Member Typedef Documentation

◆ EigenMatrixType

◆ EigenValueOrderEnum

◆ MatrixType

◆ VectorType

Constructor & Destructor Documentation

◆ SymmetricEigenAnalysis() [1/2]

◆ SymmetricEigenAnalysis() [2/2]

◆ ~SymmetricEigenAnalysis()

Member Function Documentation

◆ ComputeEigenValues()

◆ ComputeEigenValuesAndVectors()

◆ ComputeEigenValuesAndVectorsLegacy()

◆ ComputeEigenValuesAndVectorsUsingQL()

◆ ComputeEigenValuesAndVectorsWithEigenLibrary()

◆ ComputeEigenValuesAndVectorsWithEigenLibraryImpl() [1/2]

◆ ComputeEigenValuesAndVectorsWithEigenLibraryImpl() [2/2]

◆ ComputeEigenValuesLegacy()

◆ ComputeEigenValuesUsingQL()

◆ ComputeEigenValuesWithEigenLibrary()

◆ ComputeEigenValuesWithEigenLibraryImpl() [1/2]

◆ ComputeEigenValuesWithEigenLibraryImpl() [2/2]

◆ GetDimension()

◆ GetMatrixValueType() [1/2]

◆ GetMatrixValueType() [2/2]

◆ GetOrder()

◆ GetOrderEigenMagnitudes()

◆ GetOrderEigenValues()

◆ GetUseEigenLibrary()

◆ ReduceToTridiagonalMatrix()

◆ ReduceToTridiagonalMatrixAndGetTransformation()

◆ SetDimension()

◆ SetOrder()

◆ SetOrderEigenMagnitudes()

◆ SetOrderEigenValues()

◆ SetUseEigenLibrary()

◆ SetUseEigenLibraryOff()

◆ SetUseEigenLibraryOn()

Member Data Documentation

◆ m_Dimension

◆ m_Order

◆ m_OrderEigenValues

◆ m_UseEigenLibrary

template<typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix>
class itk::SymmetricEigenAnalysis< TMatrix, TVector, TEigenMatrix >