itk::Math::SVDResult< TReal > Struct Template Reference

#include <itkMathSVD.h>

Detailed Description

template<typename TReal>
struct itk::Math::SVDResult< TReal >

Result of a runtime-sized SVD (square or rectangular): A == U diag(W) V^T, W descending. For an m x n input, U is m x k, V is n x k and W has length k = min(m, n) (thin factors). rcond < 0 auto-selects a k*epsilon threshold.

Definition at line 165 of file itkMathSVD.h.

Public Member Functions
vnl_matrix< TReal >	PseudoInverse (TReal rcond=TReal{ -1 }) const
unsigned int	Rank (TReal rcond=TReal{ -1 }) const
vnl_matrix< TReal >	Recompose (TReal rcond=TReal{ -1 }) const
vnl_vector< TReal >	Solve (const vnl_vector< TReal > &b, TReal rcond=TReal{ -1 }) const

Public Attributes
vnl_matrix< TReal >	U {}
vnl_matrix< TReal >	V {}
vnl_vector< TReal >	W {}

Member Function Documentation

PseudoInverse()

template<typename TReal>

vnl_matrix< TReal > itk::Math::SVDResult< TReal >::PseudoInverse ( TReal rcond = TReal{ -1 } ) const

inline

Moore-Penrose pseudo-inverse A^+.

Definition at line 173 of file itkMathSVD.h.

Rank()

template<typename TReal>

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

inline

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

Definition at line 187 of file itkMathSVD.h.

Recompose()

template<typename TReal>

vnl_matrix< TReal > itk::Math::SVDResult< TReal >::Recompose ( TReal rcond = TReal{ -1 } ) const

inline

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

Definition at line 194 of file itkMathSVD.h.

Solve()

template<typename TReal>

vnl_vector< TReal > itk::Math::SVDResult< TReal >::Solve ( const vnl_vector< TReal > & b, TReal rcond = TReal{ -1 } ) const

inline

Least-squares / minimum-norm solution of A x = b.

Definition at line 180 of file itkMathSVD.h.

Member Data Documentation

U

template<typename TReal>

vnl_matrix<TReal> itk::Math::SVDResult< TReal >::U {}

Definition at line 167 of file itkMathSVD.h.

Referenced by itk::Math::SVD().

V

template<typename TReal>

vnl_matrix<TReal> itk::Math::SVDResult< TReal >::V {}

Definition at line 169 of file itkMathSVD.h.

Referenced by itk::Math::SVD().

W

template<typename TReal>

vnl_vector<TReal> itk::Math::SVDResult< TReal >::W {}

Definition at line 168 of file itkMathSVD.h.

Referenced by itk::Math::SVD().

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

• itkMathSVD.h