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Nonlinear Hyperspectral Unmixing With Robust Nonnegative Matrix Factorization

Févotte, Cédric and Dobigeon, Nicolas Nonlinear Hyperspectral Unmixing With Robust Nonnegative Matrix Factorization. (2015) IEEE Transactions on Image Processing, 24 (12). 4810-4819. ISSN 1057-7149

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Official URL: http://dx.doi.org/10.1109/TIP.2015.2468177

Abstract

We introduce a robust mixing model to describe hyperspectral data resulting from the mixture of several pure spectral signatures. The new model extends the commonly used linear mixing model by introducing an additional term accounting for possible nonlinear effects, that are treated as sparsely distributed additive outliers.With the standard nonnegativity and sum-to-one constraints inherent to spectral unmixing, our model leads to a new form of robust nonnegative matrix factorization with a group-sparse outlier term. The factorization is posed as an optimization problem which is addressed with a block-coordinate descent algorithm involving majorization-minimization updates. Simulation results obtained on synthetic and real data show that the proposed strategy competes with state-of-the-art linear and nonlinear unmixing methods.

Item Type:Article
Additional Information:Thanks to Institute of Electrical and Electronics Engineers (IEEE). The definitive version is available at http://ieeexplore.ieee.org The original PDF of the article can be found at IEEE Transactions on Image Processing website : http://ieeexplore.ieee.org/xpl/abstractKeywords.jsp?arnumber=7194802
HAL Id:hal-01212736
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Other partners > Université Nice Sophia Antipolis (FRANCE)
Other partners > Observatoire de la Côte d'Azur (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Laboratory name:
Funders:
Agence nationale de la recherche (France) - Centre national de la recherche scientifique (France)
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Deposited By: Nicolas DOBIGEON
Deposited On:07 Oct 2015 08:34

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