#include <itkMathSVD.h>

Detailed Description

template<typename TReal, unsigned int VDim>
struct itk::Math::FixedSquareSVDResult< TReal, VDim >

Result of a fixed-size square SVD: A == U * diag(W) * V^T, W descending. For all solver methods, rcond < 0 auto-selects a VDim*epsilon threshold.

Definition at line 126 of file itkMathSVD.h.

Public Member Functions
vnl_matrix_fixed< TReal, VDim, VDim >	PseudoInverse (TReal rcond=TReal{ -1 }) const

unsigned int	Rank (TReal rcond=TReal{ -1 }) const

vnl_matrix_fixed< TReal, VDim, VDim >	Recompose (TReal rcond=TReal{ -1 }) const

vnl_vector_fixed< TReal, VDim >	Solve (const vnl_vector_fixed< TReal, VDim > &b, TReal rcond=TReal{ -1 }) const

Public Attributes
vnl_matrix_fixed< TReal, VDim, VDim >	U {}

vnl_matrix_fixed< TReal, VDim, VDim >	V {}

vnl_vector_fixed< TReal, VDim >	W {}

Member Function Documentation

template<typename TReal, unsigned int VDim>

vnl_matrix_fixed< TReal, VDim, VDim > itk::Math::FixedSquareSVDResult< TReal, VDim >::PseudoInverse ( TReal rcond = TReal{ -1 } ) const

inline

Moore-Penrose pseudo-inverse A^+.

Definition at line 134 of file itkMathSVD.h.

template<typename TReal, unsigned int VDim>

unsigned int itk::Math::FixedSquareSVDResult< TReal, VDim >::Rank ( TReal rcond = TReal{ -1 } ) const

inline

Numerical rank (count of singular values above rcond*max(w)).

Definition at line 148 of file itkMathSVD.h.

template<typename TReal, unsigned int VDim>

vnl_matrix_fixed< TReal, VDim, VDim > itk::Math::FixedSquareSVDResult< TReal, VDim >::Recompose ( TReal rcond = TReal{ -1 } ) const

inline

Reconstruct A with singular values at or below rcond*max(w) zeroed.

Definition at line 155 of file itkMathSVD.h.

template<typename TReal, unsigned int VDim>

vnl_vector_fixed< TReal, VDim > itk::Math::FixedSquareSVDResult< TReal, VDim >::Solve	(	const vnl_vector_fixed< TReal, VDim > &	b,
		TReal	rcond = TReal{ -1 } ) const