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Contrast Definition for Optical Coherent Polarimetric Images
July 2004 (vol. 26 no. 7)
pp. 947-951

Abstract—We consider polarimetric images formed with coherent waves, such as in laser-illuminated imagery or synthetic aperture radar. A definition of the contrast between regions with different polarimetric properties in such images is proposed, and it is shown that the performances of maximum likelihood-based detection and segmentation algorithms are bijective functions of this contrast parameter. This makes it possible to characterize the performance of such algorithms by simply specifying the value of the contrast parameter.

[1] K. Koshikawa, A Polarimetric Approach to Shape Understanding of Glossy Objects Proc. Sixth Int'l Joint Conf. Artificial Intelligence, pp. 493-495, 1979.
[2] L.B. Wolff, Polarization Vision: A New Sensory Approach to Image Understanding Image and Vision Computing, vol. 15, pp. 81-93, 1997.
[3] P. Clémenceau, S. Breugnot, and L. Collot, Polarization Diversity Imaging Laser Radar Technology and Applications III, SPIE Proc., vol. 3380, pp. 284-291, 1998.
[4] S. Breugnot and P. Clémenceau, Modeling and Performances of a Polarization Active Imager at Lambda = 806 nm Laser Radar Technology and Applications IV, Proc. SPIE, G.W. Kamerman and C. Werner, eds., pp. 449-460, vol. 3707, 1999.
[5] J.S. Tyo, M.P. Rowe, E.N. Pugh, and N. Engheta, Target Detection in Optical Scattering Media by Polarization-Difference Imaging Applied Optics, vol. 35, pp. 1855-1870, 1996.
[6] S.L. Jacques, J.C. Ramella-Roman, and K. Lee, Imaging Skin Pathology with Polarized Light J. Biomed. Opt., vol. 7, pp. 329-340, 2002.
[7] S. Jiao and L.V. Wang, Two-Dimensional Depth-Resolved Mueller Matrix of Biological Tissue Measured with Double-Beam Polarization-Sensitive Optical Coherence Tomography Optics Letters, vol. 27, pp. 101-103, 2002.
[8] M Floc'h, G. Le Brun, C. Kieleck, J. Cariou, and J. Lotrian, Polarimetric Considerations to Optimize Lidar Detection of Immersed Targets Pure and Applied Optics, vol. 7, pp. 1327-1340, 1998.
[9] A. Gleckler and A. Gelbart, Multiple-Slit Streak Tube Imaging Lidar MS-STIL Applications Laser Radar Technology and Applications V, Proc. SPIE, G.W. Kamerman, U.N. Singh, C.H. Werner, and V.V. Molebny, eds., pp. 266-278, vol. 4035, 2000.
[10] J.S. Lee, M.R. Grunes, and R. Kwok, Classification of Multi-Look Polarimetric SAR Imagery Based on Complex Wishart Distribution Int'l J. Remote Sensing, vol. 15, pp. 2299-2311, 1994.
[11] C.J. Oliver, I. Mc Connell, D. Blacknell, and R.G. White, Optimum Edge Detection in SAR Synthetic Aperture Radar and Passive Microwave Imaging, Proc. SPIE, G. Franceschetti, C.J. Oliver, J.C. Shiue, and S. Tajbakhsh, eds., pp. 152-163, vol. 2584, 1995.
[12] P. Réfrégier and F. Goudail, Invariant Polarimetric Contrast Parameters for Coherent Light J. Optical Soc. Am. A, vol. 19, pp. 1223-1233, 2002.
[13] J.W. Goodman, Some First-Order Properties of Light Waves Statistical Optics, pp. 116-156, New York: John Wiley and Sons, Inc., 1985.
[14] S. Huard, Polarized Optical Wave Polarization of Light, pp. 1-35, Wiley, 1997.
[15] M. Figueiredo, J. Leitãô, and A.K. Jain, Unsupervised Contour Representation and Estimation Using B-Splines and a Minimum Description Length Criterion IEEE Trans. Image Processing, vol. 9, pp. 1075-1087, 2000.
[16] A. Chakraborty, L.H. Staib, and J.S. Duncan, Deformable Boundary Finding in Medical Images by Integrating Gradient and Region Information IEEE Trans. Medical Imaging, vol. 15, pp. 859-870, 1996.
[17] O. Germain and P. Réfrégier, Optimal Snake-Based Segmentation of a Random Luminance Target on a Spatially Disjoint Background Optical Letters, vol. 21, pp. 1845-1847, 1996.
[18] R.J. Muirhead, Aspects of Multivariate Statistical Theory. New York: Wiley, 1982.
[19] W. Feller, An Introduction to Probability Theory and Its Applications. New York: John Wiley and Sons, Inc., 1960.
[20] S.M. Kay, Statistical Decision Theory II Fundamentals of Statistical Signal Processing Volume II: Detection Theory, pp. 186-247, Prentice-Hall, 1998.
[21] C. Chesnaud, P. Réfrégier, and V. Boulet, Statistical Region Snake-Based Segmentation Adapted to Different Physical Noise Models IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 21, pp. 1145-1157, 1999.
[22] M. Basseville, Distance Measures for Signal Processing and Pattern Recognition Signal Processing, vol. 18, pp. 349-369, 1989.
[23] T.M. Cover and J.A. Thomas, Elements of Information Theory. New York: John Wiley and Sons, 1991.
[24] C.W. Therrien, Estimating and Bounding the Probability of Error Decision Estimation and Classification, pp. 139-155, New York: John Wiley and Sons, Inc., 1989.
[25] H.H. Barrett, C.K. Abbey, and E. Clarkson, Objective Assessment of Image Quality, III, ROC Metrics, Ideal Observers and Likelihood Generating Functions J. Optical Soc. Am. A, vol. 15, pp. 1520-1535, 1998.

Index Terms:
Image processing, contrast definition, detection, segmentation, active contours, polarimetric imaging.
Fran?ois Goudail, Philippe R?fr?gier, "Contrast Definition for Optical Coherent Polarimetric Images," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 26, no. 7, pp. 947-951, July 2004, doi:10.1109/TPAMI.2004.22
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