OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 15 — May. 20, 2007
  • pp: 2914–2921

Invariants of polarization transformations

Firooz A. Sadjadi  »View Author Affiliations

Applied Optics, Vol. 46, Issue 15, pp. 2914-2921 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (4458 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The use of polarization-sensitive sensors is being explored in a variety of applications. Polarization diversity has been shown to improve the performance of the automatic target detection and recognition in a significant way. However, it also brings out the problems associated with processing and storing more data and the problem of polarization distortion during transmission. We present a technique for extracting attributes that are invariant under polarization transformations. The polarimetric signatures are represented in terms of the components of the Stokes vectors. Invariant algebra is then used to extract a set of signature-related attributes that are invariant under linear transformation of the Stokes vectors. Experimental results using polarimetric infrared signatures of a number of manmade and natural objects undergoing systematic linear transformations support the invariancy of these attributes.

© 2007 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(100.5010) Image processing : Pattern recognition

ToC Category:
Image Processing

Original Manuscript: November 13, 2006
Revised Manuscript: January 16, 2007
Manuscript Accepted: January 24, 2007
Published: May 1, 2007

Firooz A. Sadjadi, "Invariants of polarization transformations," Appl. Opt. 46, 2914-2921 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. L. B. Wolff and T. E. B. Boult, "Constraining object features using a polarization reflectance model," IEEE Trans. Pattern Anal. Mach. Intell. 13, 635-657 (1991). [CrossRef]
  2. M. Born and E. Wolf, Principles of Optics (Pergamon, 1959).
  3. F. A. Sadjadi and C. S. Chun, "Passive polarimetric IR target classification," IEEE Trans. Aerosp. Electron. Syst. 37, 740-751 (2001). [CrossRef]
  4. F. A. Sadjadi, "Improved target classification using optimum polarimetric SAR signatures," IEEE Trans. Aerosp. Electron. Syst. 38, 38-49 (2002). [CrossRef]
  5. F. A. Sadjadi and C. L. Chun, "Automatic detection of small objects from their infrared state-of-polarization vectors," Opt. Lett. 28, 531-533 (2003). [CrossRef] [PubMed]
  6. F. A. Sadjadi and C. S. Chun, "Remote sensing using passive infrared stokes parameters," Opt. Eng. J. 43, 2283-2291 (2004). [CrossRef]
  7. F. A. Sadjadi and A. Mahalanobis, "Target adaptive polarimetric SAR target discrimination using maximum average correlation height filters," Appl. Opt. 45, 3063-3070 (2006). [CrossRef] [PubMed]
  8. F. A. Sadjadi, "Adaptive polarimetric sensing for optimum radar signature classification using a genetic search algorithm," Appl. Opt. 45, 5677-5685 (2006). [CrossRef] [PubMed]
  9. H. Mott, Antennas for Radar and Communications: A Polarimetric Approach (Wiley, 1992).
  10. S. Huard, Polarization of Light (Wiley, 1996).
  11. A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering (Prentice Hall, 1991).
  12. W. Shurcliff, Polarized Light (Harvard U. Press, 1960).
  13. H. Van De Hulst, Light Scattering by Small Particles (Wiley, 1957).
  14. E. Collett, Polarized Light: Fundamentals and Applications (Dekker, 1993).
  15. O. Matoba and B. Javidi, "Three-dimensional polarimetric integral imaging," Opt. Lett. 29, 2375-2377 (2004). [CrossRef] [PubMed]
  16. C. S. Chun and F. A. Sadjadi, "Polarimetric laser radar target classification," Opt. Lett. 30, 1806-1808 (2005). [CrossRef] [PubMed]
  17. F. A. Sadjadi and E. L. Hall, "Three-dimensional moment invariants," IEEE Trans. Pattern Anal. Mach. Intell. PAMI-2, 127-136 (1980). [PubMed]
  18. B. Sturmfels, Algorithms in Invariant Theory (Springer-Verlag, 1993).

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