OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 1 — Jan. 8, 2007
  • pp: 83–96

Polarimetric data reduction: a Bayesian approach

Jihad Zallat and Christian Heinrich  »View Author Affiliations


Optics Express, Vol. 15, Issue 1, pp. 83-96 (2007)
http://dx.doi.org/10.1364/OE.15.000083


View Full Text Article

Enhanced HTML    Acrobat PDF (664 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In this paper, we introduce a general Bayesian approach to estimate polarization parameters in the Stokes imaging framework. We demonstrate that this new approach yields a neat solution to the polarimetric data reduction problem that preserves the physical admissibility constraints and provides a robust clustering of Stokes images in regard to image noises. The proposed approach is extensively evaluated by using synthetic simulated data and applied to cluster and retrieves the Stokes image issuing from a set of real measurements.

© 2007 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(100.3190) Image processing : Inverse problems
(110.2960) Imaging systems : Image analysis
(120.5410) Instrumentation, measurement, and metrology : Polarimetry

ToC Category:
Imaging Systems

History
Original Manuscript: September 7, 2006
Manuscript Accepted: October 16, 2006
Published: January 8, 2007

Citation
Jihad Zallat and Christian Heinrich, "Polarimetric data reduction: a Bayesian approach," Opt. Express 15, 83-96 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-1-83


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. D. Miyazaki, M. Saito, Y. Sato, and K. Ikeuchi, "Determining surface orientations of transparent objects based on polarization degrees in visible and infrared wavelengths," J. Opt. Soc. Am. A 19, 687-694 (2002). [CrossRef]
  2. D. Miyazaki, M. Kagesawa, and K. Ikeuchi, "Transparent surface modeling from a pair of polarization images," IEEE Trans. PAMI 26,920-932 (2004). [CrossRef]
  3. J. M. Bueno and P. Artal, "Double-pass imaging polarimetry in the human eye," Opt. Letters. 2464-66 (1999). [CrossRef]
  4. S. D. Giattina,  et al., "Assessment of coronary plaque collagen with polarization sensitive optical coherence tomography (PS-OCT)," Int. J. Cardiol. 107, 400-409 (2006). [CrossRef] [PubMed]
  5. D. H. Goldstein, D. B. Chenault, and Society of Photo-optical Instrumentation Engineers, Polarization: measurement, analysis, and remote sensing II, 19-21 July, 1999, Denver, Colorado. 1999, Bellingham, Washington: SPIE. ix, 426 p.
  6. M. H. Smith, "Optimizing a dual-rotating-retarder Mueller matrix polarimeter," in Polarization Analysis and Measurements IV, SPIE (2001).
  7. J. S. Tyo, "Design of optimal polarimeters: maximization of signal-to-noise ratio and minimization of systematic error," Appl. Opt. 41619-630 (2002). [CrossRef] [PubMed]
  8. S. Ainouz, J. Zallat, A. de Martino, and C. Collet., "Physical interpretation of polarization-encoded images by color preview," Opt. Express 14, 5916-5927 (2006). [CrossRef] [PubMed]
  9. S. N. Savenkov, "Optimization and structuring of the instrument matrix for polarimetric measurements," Opt. Eng. 41, 965-972 (2002). [CrossRef]
  10. J. Bernardo and A. Smith, Bayesian Theory, (Wiley, 2000).
  11. A. Gelman, J. Carlin, H. Stern, and D. Rubin, Bayesian data analysis, Second ed., (CRC Press, 2003).
  12. S. Z. Li, Markov random field modeling in image analysis, Second ed., (Springer, 2001).
  13. A. Gray, J. Kay, and D. Titterington, "An empirical study of the simulation of various models used for images," IEEE Trans. PAMI,  16, 507-513 (1994). [CrossRef]
  14. A. Dunmur and D. Titterington, "Computational Bayesian analysis of hidden Markov mesh models," IEEE PAMI. 19, 1296-1300 (1997). [CrossRef]
  15. S. Richardson and P. Green, "On Bayesian analysis of mixtures with an unknown number of components (with discussion)," J. R. Stat. Soc. Ser. B. 59, 731-792 (1997). [CrossRef]
  16. J. Besag, "On the statistical analysis of dirty pictures (with discussion)," J. R. Stat. Soc. B 48, 259-302 (1986).

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited