OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 5 — Mar. 10, 2014
  • pp: 4920–4931

Optimal estimation in polarimetric imaging in the presence of correlated noise fluctuations

Julien Fade, Swapnesh Panigrahi, and Mehdi Alouini  »View Author Affiliations

Optics Express, Vol. 22, Issue 5, pp. 4920-4931 (2014)

View Full Text Article

Enhanced HTML    Acrobat PDF (1450 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We quantitatively analyze how a polarization-sensitive imager can overcome the precision of a standard intensity camera when estimating a parameter on a polarized source over an intense background. We show that the gain is maximized when the two polarimetric channels are perturbed with significantly correlated noise fluctuations. An optimal estimator is derived and compared to standard intensity and polarimetric estimators.

© 2014 Optical Society of America

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(110.4280) Imaging systems : Noise in imaging systems
(110.0113) Imaging systems : Imaging through turbid media
(110.3055) Imaging systems : Information theoretical analysis
(110.5405) Imaging systems : Polarimetric imaging

ToC Category:
Imaging Systems

Original Manuscript: November 8, 2013
Revised Manuscript: December 22, 2013
Manuscript Accepted: December 23, 2013
Published: February 24, 2014

Virtual Issues
Vol. 9, Iss. 5 Virtual Journal for Biomedical Optics

Julien Fade, Swapnesh Panigrahi, and Mehdi Alouini, "Optimal estimation in polarimetric imaging in the presence of correlated noise fluctuations," Opt. Express 22, 4920-4931 (2014)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. P. Rowe, J. S. Tyo, N. Engheta, E. N. Pugh, “Polarization-difference imaging: a biologically inspired techniquefor observation through scattering media,” Opt. Lett. 20, 608–610 (1995). [CrossRef] [PubMed]
  2. S. Demos, H. Savage, A. S. Heerdt, S. Schantz, R. Alfano, “Time resolved degree of polarization for human breast tissue,” Opt. Commun. 124, 439–442 (1996). [CrossRef]
  3. O. Emile, F. Bretenaker, A. L. Floch, “Rotating polarization imaging in turbid media,” Opt. Lett. 21, 1706–1708 (1996). [CrossRef] [PubMed]
  4. H. Ramachandran, A. Narayanan, “Two-dimensional imaging through turbid media using a continuous wave light source,” Opt. Commun. 154, 255–260 (1998). [CrossRef]
  5. J. Guan, J. Zhu, “Target detection in turbid medium using polarization-based range-gated technology,” Opt. Express 21, 14152–14158 (2013). [CrossRef] [PubMed]
  6. G. D. Lewis, D. L. Jordan, P. J. Roberts, “Backscattering target detection in a turbid medium by polarization discrimination,” Appl. Opt. 38, 3937–3944 (1999). [CrossRef]
  7. P. Réfrégier, M. Roche, F. Goudail, “Cramer-Rao lower bound for the estimation of the degree of polarization in active coherent imagery at low photon levels,” Opt. Lett. 31, 3565–3567 (2006). [CrossRef] [PubMed]
  8. A. Bénière, F. Goudail, M. Alouini, D. Dolfi, “Degree of polarization estimation in the presence of nonuniform illumination and additive gaussian noise,” J. Opt. Soc. Am. A 25, 919–929 (2008). [CrossRef]
  9. M. Boffety, F. Galland, A.-G. Allais, “Influence of polarization filtering on image registration precision in underwater conditions,” Opt. Lett. 37, 3273–3275 (2012). [CrossRef] [PubMed]
  10. M. Dubreuil, P. Delrot, I. Leonard, A. Alfalou, C. Brosseau, A. Dogariu, “Exploring underwater target detection by imaging polarimetry and correlation techniques,” Appl. Opt. 52, 997–1005 (2013). [CrossRef] [PubMed]
  11. A. Bénière, M. Alouini, F. Goudail, D. Dolfi, “Design and experimental validation of a snapshot polarization contrast imager,” Appl. Opt. 48, 5764–5773 (2009). [CrossRef] [PubMed]
  12. N. Hautiere, D. Aubert, “Contrast restoration of foggy images through use of an onboard camera,” in Proceedings of 2005 IEEE Intelligent Transportation Systems(2005), pp 601–606.
  13. N. Gracias, S. Negahdaripour, L. Neumann, R. Prados, R. Garcia, “A motion compensated filtering approach to remove sunlight flicker in shallow water images,” in OCEANS 2008, (2008), pp. 1–7. [CrossRef]
  14. M. Darecki, D. Stramski, M. Sokólski, “Measurements of high-frequency light fluctuations induced by sea surface waves with an underwater porcupine radiometer system,” J. Geophys. Res. 116, C00H09 (2011). [CrossRef]
  15. F. A. Sadjadi, C. L. Chun, “Automatic detection of small objects from their infrared state-of-polarization vectors,” Opt. Lett. 28, 531–533 (2003). [CrossRef] [PubMed]
  16. B. Laude-Boulesteix, A. D. Martino, B. Drévillon, L. Schwartz, “Mueller polarimetric imaging system with liquid crystals,” Appl. Opt. 43, 2824–2832 (2004). [CrossRef] [PubMed]
  17. J. Jaffe, “Computer modeling and the design of optimal underwater imaging systems,” IEEE J. Oceanic Eng. 15, 101–111 (1990). [CrossRef]
  18. P. Garthwaite, I. Jolliffe, B. Jones, Statistical Inference (Prentice Hall, 1995).
  19. J. Fade, N. Treps, C. Fabre, P. Réfrégier, “Optimal precision of parameter estimation in images with local sub-Poissonian quantum fluctuations,” Eur. Phys. J. D 50, 215–227 (2008). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited