Estimating the polarization degree of polarimetric images in coherent illumination using maximum likelihood methods - Département Automatique
Journal Articles Journal of the Optical Society of America. A Optics, Image Science, and Vision Year : 2009

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

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.
Fichier principal
Vignette du fichier
article_final.pdf (2.81 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-00475975 , version 1 (15-02-2024)

Identifiers

Cite

Florent Chatelain, Jean-Yves Tourneret, Muriel Roche, Mehdi Alouini. Estimating the polarization degree of polarimetric images in coherent illumination using maximum likelihood methods. Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2009, 26 (6), pp.1348-1359. ⟨10.1364/JOSAA.26.001348⟩. ⟨hal-00475975⟩
570 View
27 Download

Altmetric

Share

More