cmtk::EigenSystemSymmetricMatrix3x3< TFloat > Class Template Reference [cmtkBase Library]

Compute the eigenvectors and eigenvalues of a symmetric 3x3 matrix. More...

#include <cmtkEigenSystemSymmetricMatrix3x3.h>

List of all members.

Public Member Functions
	EigenSystemSymmetricMatrix3x3 (const Matrix3x3< TFloat > &matrix, const bool sortAbsolute=true)
	Constructor: compute eigensystem of given matrix.
const FixedVector< 3, TFloat >	GetNthEigenvector (const size_t n) const
	Get n-th eigenvector.
TFloat	GetNthEigenvalue (const size_t n) const
	Get n-th eigenvalue.
Protected Attributes
TFloat	m_Eigenvectors [3][3]
	Eigenvector matrix.
TFloat	m_Eigenvalues [3]
	Eigenvalues vector.
Static Private Member Functions
static TFloat	hypot2 (const TFloat &x, const TFloat &y)
	Helper function that computes the Euclidean length of (x,y).
static void	tred2 (TFloat V[3][3], TFloat d[3], TFloat e[3])
	Symmetric Householder reduction to tridiagonal form.
static void	tql2 (TFloat V[3][3], TFloat d[3], TFloat e[3], const bool sortAbsolute=true)

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Detailed Description

template<class TFloat>
class cmtk::EigenSystemSymmetricMatrix3x3< TFloat >

Compute the eigenvectors and eigenvalues of a symmetric 3x3 matrix.

(Eigen decomposition code for symmetric 3x3 matrices, copied from the public domain Java Matrix library JAMA by Connelly Barnes. ) Eigenvectors and eigenvalues are returned in sorted order, by ascending absolute values of the eigenvalues.

Definition at line 53 of file cmtkEigenSystemSymmetricMatrix3x3.h.

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Member Function Documentation

template<class TFloat>

TFloat cmtk::EigenSystemSymmetricMatrix3x3< TFloat >::GetNthEigenvalue

(

const size_t

n )

const [inline]

Get n-th eigenvalue.

Definition at line 67 of file cmtkEigenSystemSymmetricMatrix3x3.h.

Referenced by cmtk::ImageOperationMedialSkeleton::Apply().

template<class TFloat>

const FixedVector<3,TFloat> cmtk::EigenSystemSymmetricMatrix3x3< TFloat >::GetNthEigenvector

(

const size_t

n )

const [inline]

Get n-th eigenvector.

Definition at line 61 of file cmtkEigenSystemSymmetricMatrix3x3.h.

Referenced by cmtk::ImageOperationMedialSkeleton::Apply(), and cmtk::UniformVolume::GetPrincipalAxes().

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Member Data Documentation

template<class TFloat>

TFloat cmtk::EigenSystemSymmetricMatrix3x3< TFloat >::m_Eigenvalues[3] [protected]

Eigenvalues vector.

Definition at line 77 of file cmtkEigenSystemSymmetricMatrix3x3.h.

template<class TFloat>

TFloat cmtk::EigenSystemSymmetricMatrix3x3< TFloat >::m_Eigenvectors[3][3] [protected]

Eigenvector matrix.

Definition at line 74 of file cmtkEigenSystemSymmetricMatrix3x3.h.

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

• libs/Base/cmtkEigenSystemSymmetricMatrix3x3.h
• libs/Base/cmtkEigenSystemSymmetricMatrix3x3.txx