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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 6 — Jun. 1, 2009
  • pp: 1348–1359

Estimating the polarization degree of polarimetric images in coherent illumination using maximum likelihood methods

Florent Chatelain, Jean-Yves Tourneret, Muriel Roche, and Mehdi Alouini  »View Author Affiliations


JOSA A, Vol. 26, Issue 6, pp. 1348-1359 (2009)
http://dx.doi.org/10.1364/JOSAA.26.001348


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Abstract

We address the problem of estimating the polarization degree of polarimetric images in coherent illumination. It has been recently shown that the degree of polarization associated with polarimetric images can be estimated by the method of moments applied to two or four images assuming fully developed speckle. We show that the estimation can also be conducted by using maximum likelihood methods. The maximum likelihood estimators of the polarization degree are derived from the joint distribution of the image intensities. We show that the joint distribution of polarimetric images is a multivariate gamma distribution whose marginals are univariate, bivariate, or trivariate gamma distributions. This property is used to derive maximum likelihood estimators of the polarization degree using two, three, or four images. The proposed estimators provide better performance than the estimators of moments. These results are illustrated by estimations conducted on synthetic and real images.

© 2009 Optical Society of America

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

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: February 4, 2009
Manuscript Accepted: April 8, 2009
Published: May 13, 2009

Citation
Florent Chatelain, Jean-Yves Tourneret, Muriel Roche, and Mehdi Alouini, "Estimating the polarization degree of polarimetric images in coherent illumination using maximum likelihood methods," J. Opt. Soc. Am. A 26, 1348-1359 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-6-1348

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