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

Chatelain, Florent and Tourneret, Jean-Yves and Roche, Muriel and Alouini, Mehdi Estimating the polarization degree of polarimetric images in coherent illumination using maximum likelihood methods. (2009) Journal of the Optical Society of America A: Optics, Image Science & Vision (JOSA A), vol. 2 (n° 6). pp. 1348-1359. ISSN 1084-7529

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Official URL: http://dx.doi.org/10.1364/JOSAA.26.001348

Abstract

This paper addresses the problem of estimating the polarization degree of polarimetric images in coherent illumination. It has been recently shown that the degree of polarization associated to polarimetric images can be estimated by the method of moments applied to two or four images assuming fully developed speckle. This paper shows 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 that the estimators of moments. These results are illustrated by estimations conducted on synthetic and real images.

Item Type:Article
Additional Information:This paper was published in [Journal Name] and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-6-1348. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National des Etudes Spatiales - CNES
French research institutions > Centre National de la Recherche Scientifique - CNRS
Université de Toulouse > Ecole Nationale de l'Aviation Civile - ENAC
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Other partners > Institut National Polytechnique de Grenoble (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
Other partners > Rockwell Collins (FRANCE)
Other partners > Thales (FRANCE)
Other partners > Telecom ParisTech (FRANCE)
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
Université de Toulouse > Université de Toulouse II-Le Mirail - UTM
Université de Toulouse > Université de Toulouse I-Sciences Sociales - UT1
Other partners > Ecole Centrale Marseille (FRANCE)
Other partners > Direction Générale de l’Aviation Civile - DGAC (FRANCE)
Other partners > Université Joseph Fourier Grenoble 1 - UJF (FRANCE)
Other partners > Université de Rennes 1 (FRANCE)
Laboratory name:
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Deposited By: Jean-yves TOURNERET

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