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Bayesian estimation of linear mixtures using the normal compositional model. Application to hyperspectral imagery

Eches, Olivier and Dobigeon, Nicolas and Mailhes, Corinne and Tourneret, Jean-Yves Bayesian estimation of linear mixtures using the normal compositional model. Application to hyperspectral imagery. (2010) IEEE Transactions on Image Processing, vol. 1 (n° 6). pp. 1403-1413. ISSN 1057-7149

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Official URL: http://dx.doi.org/10.1109/TIP.2010.2042993

Abstract

This paper studies a new Bayesian unmixing algorithm for hyperspectral images. Each pixel of the image is modeled as a linear combination of so-called endmembers. These endmembers are supposed to be random in order to model uncertainties regarding their knowledge. More precisely, we model endmembers as Gaussian vectors whose means have been determined using an endmember extraction algorithm such as the famous N-finder (N-FINDR) or Vertex Component Analysis (VCA) algorithms. This paper proposes to estimate the mixture coefficients (referred to as abundances) using a Bayesian algorithm. Suitable priors are assigned to the abundances in order to satisfy positivity and additivity constraints whereas conjugate priors are chosen for the remaining parameters. A hybrid Gibbs sampler is then constructed to generate abundance and variance samples distributed according to the joint posterior of the abundances and noise variances. The performance of the proposed methodology is evaluated by comparison with other unmixing algorithms on synthetic and real images.

Item Type:Article
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org/Xplore/dynhome.jsp The original PDF of the article can be found at IEEE Transactions on Image Processing website : http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=83
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution: Université de Toulouse > Université de Toulouse I-Sciences Sociales - UT1
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
French research institutions > Centre National de la Recherche Scientifique - CNRS
Université de Toulouse > Université de Toulouse II-Le Mirail - UTM
Laboratory name:
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Deposited By: Nicolas DOBIGEON
Deposited On:21 Jun 2010 14:05

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