itk::bridge::detail Namespace Reference

Functions
template<typename TMatrixU, typename TMatrixV>
void	CanonicalizeColumnSignsPaired (TMatrixU &u, TMatrixV &paired)
template<typename T>
void	CanonicalizeEigenvectorColumnSigns (vnl_matrix< T > &V)
const char *	EigenComputationInfoString (Eigen::ComputationInfo info)

Function Documentation

CanonicalizeColumnSignsPaired()

template<typename TMatrixU, typename TMatrixV>

void itk::bridge::detail::CanonicalizeColumnSignsPaired	(	TMatrixU &	u,
		TMatrixV &	paired )

Same canonicalization as CanonicalizeEigenvectorColumnSigns, applied to u, with the identical per-column flip mirrored onto paired so a factor pair (e.g. the U and V of an SVD) stays consistent. Templated on the matrix types so it serves vnl_matrix and vnl_matrix_fixed, including pairs of distinct fixed types (a rectangular SVD's U and V); the sign is well-defined only when the leading per-column magnitude is unambiguous (distinct singular values).

Definition at line 63 of file itkBridgeEigenDecompositionSignConvention.h.

Referenced by itk::bridge::Math::SVD(), itk::bridge::Math::SVD(), and itk::bridge::Math::SVD().

CanonicalizeEigenvectorColumnSigns()

template<typename T>

void itk::bridge::detail::CanonicalizeEigenvectorColumnSigns

(

vnl_matrix< T > &

V

)

Canonicalize the sign of every eigenvector column of V so that its largest-magnitude entry is positive (tie-break by lowest row index). An eigenvector's sign is mathematically arbitrary and otherwise depends on solver internals and SIMD width; pinning it this way makes a real-valued eigendecomposition bit-reproducible across platforms.

Definition at line 34 of file itkBridgeEigenDecompositionSignConvention.h.

Referenced by itk::bridge::GeneralizedEigenDecomposition< TReal >::GeneralizedEigenDecomposition(), and itk::bridge::SymmetricEigenDecomposition< T >::SymmetricEigenDecomposition().

EigenComputationInfoString()

const char * itk::bridge::detail::EigenComputationInfoString ( Eigen::ComputationInfo info )

inline

Human-readable name and likely cause for an Eigen solver status, so a thrown decomposition error names the failure mode instead of a raw code.

Definition at line 30 of file itkBridgeEigenDecompositionSolverInfo.h.

Referenced by itk::bridge::GeneralizedEigenDecomposition< TReal >::GeneralizedEigenDecomposition(), itk::bridge::RealEigenDecomposition< TReal >::RealEigenDecomposition(), and itk::bridge::SymmetricEigenDecomposition< T >::SymmetricEigenDecomposition().