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. 2018 Oct 25;9(11):5691–5702. doi: 10.1364/BOE.9.005691

Table 1.

AUC estimates of polarimetric parameters or sets of parameters that are linear or non-linear functions of the Mueller matrix. Standard deviations are computed from three permutations of testing and training sets among 24 patients. Within ±1σ the AUC of: Scalar Retardance, 4 eigenvalues of the coherency matrix, 3 smallest eigenvalues of the coherency matrix, and 3 smallest eigenvalues of the coherency matrix together with the scalar retardance are all equivalent. These parameters are non-linear functions of the Mueller matrix and require measurement of the full Mueller matrix. Linear transforms of the Mueller matrix do not exceed an average AUC of 0.91. J-CQO parameters do not require a full Mueller Matrix measurement and the maximum average AUC is 0.90 for 6 measurements.

AUC¯ σ AUC
Linear Polarimetric Parameter(s)
Mueller Matrix 0.90 0.05
Mueller elements: m00, m20, m21 0.90 0.05
Coherency Matrix 0.90 0.07
Coherency elements: c11, c22, real(c12), imag(c02) 0.91 0.05
J-CQO 3 PSA/PSG measurements 0.88 0.07
J-CQO 6 PSA/PSG measurements 0.90 0.03
Non-linear Polarimetric Parameter(s)
Scalar Retardance 0.94 0.03
Depolarization Index 0.49 0.06
4 Eigenvalues of coherency matrix 0.93 0.03
3 Smallest Eigenvalues of coherency matrix 0.93 0.02
3 Smallest Eigenvalues + Scalar Retardance 0.95 0.02
Entropy of coherency Eigenspectrum 0.48 0.10