Entropy of partially polarized light and application to statistical processing techniques

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 21, Issue 11, 2004, Pages 2124-2134

  Réfrégier, Philippe ^a   Goudail, François ^a   Chavel, Pierre ^b   Friberg, Ari ^c  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b UNIV PARIS SUD   (France)

^c Kungliga Tekniska Höskolan ^*  (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COHERENT LIGHT; ELECTRIC FIELD EFFECTS; IMAGE SEGMENTATION; LIGHT POLARIZATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; OBJECT RECOGNITION; PROBABILITY; VECTORS;

GAUSSIAN FIELDS; SHANNON ENTROPY; STATISTICAL PROCESSING TECHNIQUES; VECTOR FIELD MODEL;

STATISTICAL OPTICS;

EID: 8744310614     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.21.002124     Document Type: Article

References (36)

1. M. Floc'h, G. Le Brun, C. Kieleck, J. Cariou, and J. Lotrian, "Polarimetric considerations to optimize lidar detection of immersed targets," Pure Appl. Opt. 7, 1327-1340 (1998).
2. S. Breugnot and Ph. Clémenceau, "Modeling and performances of a polarization active imager at lambda=806 nm," in Laser Radar Technology and Applications IV, G. W. Kamerman and C. Werner, eds., Proc. SPIE 3707, 449-460 (1999).
3. A. Gleckler and A. Gelbart, "Multiple-slit streak tube imaging lidar MS-STIL applications," in Laser Radar Technology and Applications V, G. W. Kamerman, U. N. Singh, C. H. Werner, and V. V. Molebny, eds., Proc. SPIE 4035, 266-278 (2OOO).
4. L. B. Wolff, "Polarization camera for computer vision with a beam splitter," J. Opt. Soc. Am. A 11, 2935-2945 (1994).
5. J. E. Solomon, "Polarization imaging," Appl. Opt. 20, 1537-1544 (1981).
6. W. G. Egan, W. R. Johnson, and V. S. Whitehead, "Terrestrial polarization imagery obtained from the space shuttle: characterization and interpretation," Appl. Opt. 30, 435-442 (1991).
7. J. L. Pezzaniti and R. A. Chipman, "Mueller matrix imaging polarimetry," Opt. Eng. 34, 1558-1568 (1995).
8. J. S. Tyo, M. P. Rowe, E. N. Pugh, and N. Engheta, "Target detection in optical scattering media by polarization-difference imaging," Appl. Opt. 35, 1855-1870 (1996).
9. J. W. Goodman, Statistical Optics (Wiley, New York, 1985), pp. 116-156.
10. C. Brosseau, Fundamentals of Polarized Light-A Statistical Approach (Wiley, New York, 1998), pp. 138-164.
11. Ref. 9, pp. 237-285.
12. J. C. Dainty, Laser Speckle and Related Phenomena (Springer-Verlag, Heidelberg, Germany, 1975).
13. T. Setälä, M. Kaivola, and A. T. Friberg, "Degree of polarization in near fields of thermal sources: effects of surface waves," Phys. Rev. Lett. 88, 123902 (2002).
14. R. S. Cloude and E. Pottier, "Concept of polarization entropy in optical scattering," Opt. Eng. 34, 1599-1610 (1995).
15. T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, New York, 1991), pp. 12-49.
16. J. C. Samson, "Descriptions of the polarization states of vector processes: applications to ULF magnetic fields," Geophys. J. R. Astron. Soc. 34, 403-419 (1973).
17. R. Barakat, "N-fold polarization measures and associated thermodynamic entropy of N partially coherent pencils of radiation," Opt. Acta 30, 1171-1182 (1983).
18. Ref. 10, pp. 165-175.
19. M. D. Esteban and D. A. Morales, "A summary of entropy statistics," Kybernetica 31, 337-346 (1995).
20. R. Baraniuk, P. Flandrin, and O. Michel, "Measuring time frequency information content using the Renyi entropies," IEEE Trans. Inf. Theory 47, 1391-1409 (2001).
21. Ref. 15, pp. 279-335.
22. C. W. Therrien, Decision Estimation and Classification (Wiley, New York, 1989), pp. 139-155.
23. C. E. Shannon, "A mathematical theory of communication," Bell Syst. Tech. J. 27, 379-423, 623-656 (1948).
24. Ref. 15, pp. 266-278.
25. A. Firooz and A. Sadjadi, "Passive infrared automatic target recognition," in Image Recognition and Classification: Algorithm, System and Applications, B. Javidi, ed., (Marcel Dekker, New York, 2002), pp. 37-60.
26. A. F. Sadjadi and C. S. L. Chun, "Automatic detection of small objects from their infrared state-of-polarization vectors," Opt. Lett. 28, 531-533 (2003).
27. R. J. Muirhead, Aspects of Multivariate Statistical Theory (Wiley, New York, 1982).
28. T. S. Ferguson, Mathematical Statistics, a Decision Theoretic Approach (Academic, New York, 1967), pp. 112-119.
29. J. Rissanen, Stochastic Complexity in Statistical Inquiry (World Scientific, Singapore, 1989).
30. O. Ruch and Ph. Réfrégier, "Minimal-complexity segmentation with a polygonal snake adapted to different optical noise models," Opt. Lett. 41, 977-979 (2001).
31. S. C. Zhu and A. Yuille, "Region competition: unifying snakes, region growing, and Bayes/MDL for multiband image segmentation," IEEE Trans. Pattern Anal. Mach. Intell. 18, 884-900 (1996).
32. M. Figueiredo, J. Leitao, and A. K. Jain, "Unsupervised contour representation and estimation using B-splines and a minimum description length criterion," IEEE Trans. Image Process. 9, 1075-1087 (2000).
33. C. Chesnaud, Ph. Réfrégier, and V. Boulet, " Statistical region snake-based segmentation adapted to different physical noise models," IEEE Trans. Pattern Anal. Mach. Intell. 21, 1145-1157 (1999).
34. L. Ferro-Famil, E. Pottier, and J. S. Lee, "Unsupervised classification of multifrequency and full polarimetric SAR images based on the H/A/alpha-Wishart classifier," IEEE Trans. Geosci. Remote Sens. 39, 2332-2342 (2001).
35. F. Goudail, F. Galland, and Ph. Réfrégier, "A general framework for designing image processing algorithms for coherent polarimetric images," in Proceedings of IEEE 2003 International Conference on Image Processing (IEEE Press, Piscataway, N.J. 2003), pp. 153-156.
36. S. M. Kay, Fundamentals of Statistical Signal Processing - Volume II: Detection Theory (Prentice Hall, Upper Saddle River, N.J., 1998), pp. 186-247.