Abstract

In polarimetric imaging systems, the main source of perturbations may not be detection noise but fluctuations of the Mueller matrices in the scene. In this case, we propose a method for determining the illumination and analysis polarization states that allow reaching the highest target detection performance. We show with simulations and real-world images that, in practical applications, the statistics of Mueller matrix fluctuations have to be taken into account to optimize polarimetric imagery.

© 2011 Optical Society of America

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References

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J. Yang, Y. Yamaguchi, W. Boerner, and S. Lin, IEEE Trans. Geosci. Remote Sens. 38, 965 (2000).
[CrossRef]

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1988

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[CrossRef]

1981

Bénière, A.

Boerner, W.

J. Yang, Y. Yamaguchi, W. Boerner, and S. Lin, IEEE Trans. Geosci. Remote Sens. 38, 965 (2000).
[CrossRef]

Chipman, R. A.

Engheta, N.

Fukunaga, K.

K. Fukunaga, Introduction to Statistical Pattern Recognition (Academic, 1990).

Goldstein, D.

D. Goldstein, Polarized Light (Marcel Dekker, 2003).
[CrossRef]

Goudail, F.

Kong, J. A.

A. A. Swartz, H. A. Yueh, J. A. Kong, L. M. Novak, and R. T. Shin, J. Geophys. Res. 93, 15252 (1988).
[CrossRef]

Lin, S.

J. Yang, Y. Yamaguchi, W. Boerner, and S. Lin, IEEE Trans. Geosci. Remote Sens. 38, 965 (2000).
[CrossRef]

Lu, S. Y.

Novak, L. M.

A. A. Swartz, H. A. Yueh, J. A. Kong, L. M. Novak, and R. T. Shin, J. Geophys. Res. 93, 15252 (1988).
[CrossRef]

Pugh, E. N.

Rowe, M. P.

Shin, R. T.

A. A. Swartz, H. A. Yueh, J. A. Kong, L. M. Novak, and R. T. Shin, J. Geophys. Res. 93, 15252 (1988).
[CrossRef]

Solomon, J. E.

Swartz, A. A.

A. A. Swartz, H. A. Yueh, J. A. Kong, L. M. Novak, and R. T. Shin, J. Geophys. Res. 93, 15252 (1988).
[CrossRef]

Tyo, J. S.

Yamaguchi, Y.

J. Yang, Y. Yamaguchi, W. Boerner, and S. Lin, IEEE Trans. Geosci. Remote Sens. 38, 965 (2000).
[CrossRef]

Yang, J.

J. Yang, Y. Yamaguchi, W. Boerner, and S. Lin, IEEE Trans. Geosci. Remote Sens. 38, 965 (2000).
[CrossRef]

Yueh, H. A.

A. A. Swartz, H. A. Yueh, J. A. Kong, L. M. Novak, and R. T. Shin, J. Geophys. Res. 93, 15252 (1988).
[CrossRef]

Appl. Opt.

IEEE Trans. Geosci. Remote Sens.

J. Yang, Y. Yamaguchi, W. Boerner, and S. Lin, IEEE Trans. Geosci. Remote Sens. 38, 965 (2000).
[CrossRef]

J. Geophys. Res.

A. A. Swartz, H. A. Yueh, J. A. Kong, L. M. Novak, and R. T. Shin, J. Geophys. Res. 93, 15252 (1988).
[CrossRef]

J. Opt. Soc. Am. A

Opt. Lett.

Other

K. Fukunaga, Introduction to Statistical Pattern Recognition (Academic, 1990).

D. Goldstein, Polarized Light (Marcel Dekker, 2003).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Polarimetric imaging setup.

Fig. 2
Fig. 2

(a) Optimal image taking into account only additive noise. (b) Optimal image taking into account Mueller matrix fluctuations.

Fig. 3
Fig. 3

(a) Scheme of the observed scene. (b) Intensity image of the scene.

Fig. 4
Fig. 4

(a) Optimal image of the scene in Fig. 3 taking into account only additive noise. (b) Optimal image taking into account Mueller matrix fluctuations.

Tables (2)

Tables Icon

Table 1 Standard Deviation of the Fluctuations of the Diagonal Coefficients of the Depolarizer Matrices M Δ u

Tables Icon

Table 2 Optimal States Obtained by Taking into Account or Not the Fluctuations of the Polarimetric Properties of the Scene

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

i = η I 0 2 T T M S ,
G u = ( V M V M u ) ( V M V M u ) T ,
i = η I 0 2 [ T S ] T V M + n ,
i u = η I 0 / 2 × [ T S ] T V M u ,
var [ i ] u = ( η I 0 / 2 ) 2 × [ T S ] T G u [ T S ] + σ 2 .
F ( S , T ) = [ i a i b ] 2 var [ i ] a + var [ i ] b .
F ( S , T ) = [ T S ] T G target [ T S ] [ T S ] T G fluct [ T S ] + 8 / SNR ,
M a M b 0.64 0.00 0.01 0.00 0.00 0.31 0.03 0.03 0.00 0.03 0.24 0.02 0.00 0.01 0.02 0.16 0.60 0.01 0.00 0.00 0.00 0.19 0.00 0.02 0.00 0.00 0.15 0.00 0.00 0.02 0.00 0.22 .

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