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Joint Bayesian Endmember Extraction and Linear Unmixing for Hyperspectral Imagery

Dobigeon, Nicolas and Moussaoui, Saïd and Coulon, Martial and Tourneret, Jean-Yves and Hero, Alfred O. Joint Bayesian Endmember Extraction and Linear Unmixing for Hyperspectral Imagery. (2009) IEEE Transactions on Signal Processing, 5 (11). 4355-4368. ISSN 1053-587X

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Official URL: http://dx.doi.org/10.1109/TSP.2009.2025797


This paper studies a fully Bayesian algorithm for endmember extraction and abundance estimation for hyperspectral imagery. Each pixel of the hyperspectral image is decomposed as a linear combination of pure endmember spectra following the linear mixing model. The estimation of the unknown endmember spectra is conducted in a unified manner by generating the posterior distribution of abundances and endmember parameters under a hierarchical Bayesian model. This model assumes conjugate prior distributions for these parameters, accounts for nonnegativity and fulladditivity constraints, and exploits the fact that the endmember proportions lie on a lower dimensional simplex. A Gibbs sampler is proposed to overcome the complexity of evaluating the resulting posterior distribution. This sampler generates samples distributed according to the posterior distribution and estimates the unknown parameters using these generated samples. The accuracy of the joint Bayesian estimator is illustrated by simulations conducted on synthetic and real AVIRIS images.

Item Type:Article
Additional Information:This publication is available at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > University of Michigan - U-M (USA)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Other partners > Ecole Centrale de Nantes (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Université de Nantes (FRANCE)
Other partners > Ecole des Mines de Nantes (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Laboratory name:
Deposited On:04 Jan 2010 14:13

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