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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Steven A. Burns
  • Vol. 24, Iss. 9 — Sep. 1, 2007
  • pp: 2719–2727

Parametric estimation of the square degree of polarization from two intensity images degraded by fully developed speckle noise

Muriel Roche, Julien Fade, and Philippe Réfrégier  »View Author Affiliations

JOSA A, Vol. 24, Issue 9, pp. 2719-2727 (2007)

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Active polarimetric imagery systems allow one to reveal polarimetric characteristics of the scene. Among them, the degree of polarization allows one to have information about the polarizing nature of an imaged object. Its estimation is standardly done from four images of the scene. Reducing this number of images can be of great interest for industrial applications, allowing in particular reduction of cost in terms of money and acquisition time. We propose a parametric method to estimate the square degree of polarization from only two measurements when coherent illumination is considered and when the images are corrupted with fully developed speckle, and we characterize the performances of the estimation.

© 2007 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(100.0100) Image processing : Image processing
(120.5410) Instrumentation, measurement, and metrology : Polarimetry

ToC Category:
Coherence and Statistical Optics

Original Manuscript: December 8, 2006
Manuscript Accepted: April 23, 2007
Published: July 31, 2007

Muriel Roche, Julien Fade, and Philippe Réfrégier, "Parametric estimation of the square degree of polarization from two intensity images degraded by fully developed speckle noise," J. Opt. Soc. Am. A 24, 2719-2727 (2007)

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  1. S. L. Jacques, J. C. Ramella-Roman, and K. Lee, "Imaging skin pathology with polarized light," J. Biomed. Opt. 7, 329-340 (2002). [CrossRef]
  2. L. B. Wolff, "Polarization-based material classification from specular reflection," IEEE Trans. Pattern Anal. Mach. Intell. 12, 1059-1071 (1990). [CrossRef]
  3. L. B. Wolff, "Polarization camera for computer vision with a beam splitter," J. Opt. Soc. Am. A 11, 2935-2945 (1994).
  4. B. Johnson, R. Joseph, M. L. Nischan, A. Newbury, J. P. Kerekes, H. T. Barclay, B. C. Willard, and J. J. Zayhowski, "Compact active hyperspectral imaging system for the detection of concealed targets," Proc. SPIE 3710, 144-153 (1999).
  5. 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).
  6. J. W. Goodman, Statistical Optics (Wiley, 1985).
  7. F. Goudail, P. Terrier, Y. Takakura, L. Bigué, F. Galland, and V. de Vlaminck, "Target detection with a liquid crystal-based passive Stokes polarimeter," Appl. Opt. 43, 274-282 (2004). [CrossRef]
  8. C. Brosseau, Fundamentals of Polarized Light: A Statistical Approach (Wiley, 1998).
  9. J. E. Solomon, "Polarization imaging," Appl. Opt. 20, 1537-1544 (1981).
  10. S. Breugnot and Ph. Clémenceau, "Modeling and performances of a polarization active imager at lambda=806 nm," Proc. SPIE 3707, 449-460 (1999).
  11. M. P. Rowe, E. N. Pugh, J. S. Tyo, and N. Engheta, "Polarization-difference imaging: a biologically inspired technique for observation through scattering media," Opt. Lett. 20, 608-610 (1995).
  12. F. Goudail and Ph. Réfrégier, Statistical Image Processing Techniques for Noisy Images: An Application Oriented Approach (Kluwer, 2004).
  13. F. Goudail and Ph. Réfrégier, "Statistical techniques for target detection in polarization diversity images," Opt. Lett. 26, 644-646 (2001).
  14. S. Huard, Polarization of Light (Wiley, Masson, 1997).
  15. Ph. Réfrégier, Noise Theory and Application to Physics: From Fluctuations to Information (Springer, 2004).
  16. C. L. Mehta, Lectures in Theoretical Physics VIIC, W.E.Brittin, ed. (U. Colorado Press, 1965), p. 345.

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