OSA's Digital Library

Optics Express

Optics Express

  • Vol. 16, Iss. 16 — Aug. 4, 2008
  • pp: 12018–12036

Fundamental estimation bounds for polarimetric imagery

Daniel A. LeMaster  »View Author Affiliations

Optics Express, Vol. 16, Issue 16, pp. 12018-12036 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (313 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Precise channel-to-channel registration is a prerequisite for effective exploitation of passive polarimetric imagery. In this paper, the Cramer-Rao bound is employed to determine the limits of registration precision in the presence of scene polarization diversity, channel noise, and random translational registration errors between channels. The effects of misregistration on Stokes image estimation are also explored in depth. Algorithm bias is discussed in the context of the bound, without being estimator specific. Finally, case studies are presented for polarization insensitive imagery (a special case) and linear polarization imaging systems with three and four channels. An optimum polarization channel arrangement is proposed in the context of the bound.

© 2008 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(110.3925) Imaging systems : Metrics
(110.5405) Imaging systems : Polarimetric imaging

ToC Category:
Image Processing

Original Manuscript: February 28, 2008
Revised Manuscript: March 28, 2008
Manuscript Accepted: April 12, 2008
Published: July 25, 2008

Daniel A. LeMaster, "Fundamental estimation bounds for polarimetric imagery," Opt. Express 16, 12018-12036 (2008)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Kishimoto, L. E. Kay, R. Antonucci, T. W. Hurt, R. D. Cohen, and J. H. Krolik, "Ultraviolet Imaging Polarimetry of the Seyfert 2 Galaxy Markarian 3," apj 565, 155-162 (2002).
  2. W. G. Egan, "Polarization in remote sensing," in Polarization and Remote Sensing, W. G. Egan, ed., Proc. SPIE 1747, 2-48 (1992).
  3. S. Lin, K. Yemelyanov, E. Pugh, Jr, and N. Engheta, "Separation and contrast enhancement of overlapping cast shadow components using polarization," Opt. Express 14, 7099-7108 (2006). [CrossRef] [PubMed]
  4. C. M. Persons, D. B. Chenault, M. W. Jones, K. D. Spradley, M. G. Gulley, and C. A. Farlow, "Automated registration of polarimetric imagery using Fourier transform techniques," Proc. SPIE 4819, 107-117 (2002). [CrossRef]
  5. X. Wang, S. Yang, J. Ma, and Y. Qiao, "Automated registration of polarimetric image using wavelet transform techniques," (SPIE, 2005) Vol. 5832, pp. 695-702
  6. D. A. LeMaster, "A Comparison of Template Matching Registration Methods for Polarimetric Imagery," in Aerospace Conference, 2008 IEEE, Vol. 1, pp. 1-9 (2008).
  7. Guyot, S.  and Anastasiadou, M.  and Del�??echelle, E.  and De Martino, A. , "Registration scheme suitable to Mueller matrix imaging for biomedical applications," Opt. Express 15, 7393-7400 (2007). [CrossRef] [PubMed]
  8. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory (Prentice Hall, Englewood Cliffs, New Jersey, 1993).
  9. D. Robinson and P. Milanfar, "Fundamental performance limits in image registration." IEEE Trans. Image Process 13, 1185-1199 (2004). [CrossRef] [PubMed]
  10. A. Yetik, and I. S. Nehorai, "Performance bounds on image registration," IEEE Trans. Signal Process 54, 1737-1749 (May 2006). [CrossRef]
  11. B. Zitova and J. Flusser, "Image registration methods: a survey," Image and Vision Computing 21, 977-1000 (2003). [CrossRef]
  12. L. L. Scharf, Statistical Signal Processing: detection, estimation, and time series analysis (Addison-Wesley, Reading, Massachusetts, 1991).
  13. L. L. Scharf and L. T. McWhorter, "Geometry of the Cramer-Rao bound," Signal Processing 31, 301-311 (1993). [CrossRef]
  14. H. Van Trees, Detection, estimation, and modulation theory. Part 1: detection, estimation, and linear modulation theory (Wiley, New York, 2001). [CrossRef]
  15. J. Tyo, "Design of optimal polarimeters: maximization of signal-to-noise ratio and minimization of systematic error," Appl. Opt 41, 619-630 (2002). [CrossRef] [PubMed]
  16. J. Tyo, "Optimum linear combination strategy for an N-channel polarization-sensitive imaging or vision system," J. Opt. Soc. Am. A 15, 359-366 (1998). [CrossRef]
  17. E. Collett, Polarized Light: Fundamentals and Applications (Marcel Dekker, Inc., New York, 1992).
  18. M. Healy, Matrices for Statistics (Oxford University Press, USA, 1986).
  19. A. Graham, Kronecker Products and Matrix Calculus With Applications. (Wiley, New York, 1982).

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