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Nonlinear spectral unmixing of hyperspectral images using Gaussian processes

Altmann, Yoann and Dobigeon, Nicolas and McLaughlin, Steve and Tourneret, Jean-Yves Nonlinear spectral unmixing of hyperspectral images using Gaussian processes. (2013) IEEE Transactions on Signal Processing, 61 (10). 2442-2453. ISSN 1053-587X

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Official URL: http://dx.doi.org/10.1109/TSP.2013.2245127

Abstract

This paper presents an unsupervised algorithm for nonlinear unmixing of hyperspectral images. The proposed model assumes that the pixel reflectances result from a nonlinear function of the abundance vectors associated with the pure spectral components. We assume that the spectral signatures of the pure components and the nonlinear function are unknown. The first step of the proposed method estimates the abundance vectors for all the image pixels using a Bayesian approach an a Gaussian process latent variable model for the nonlinear function (relating the abundance vectors to the observations). The endmembers are subsequently estimated using Gaussian process regression. The performance of the unmixing strategy is first evaluated on synthetic data. The proposed method provides accurate abundance and endmember estimations when compared to other linear and nonlinear unmixing strategies. An interesting property is its robustness to the absence of pure pixels in the image. The analysis of a real hyperspectral image shows results that are in good agreement with state of the art unmixing strategies and with a recent classification method.

Item Type:Article
Additional Information:Thanks to IEEE editor. The definitive version is available at http://dx.doi.org/10.1109/TSP.2013.2245127 The original PDF of the article can be found at IEEE Trans. Signal Processing website : http://dx.doi.org/10.1109/TSP.2013.2245127
HAL Id:hal-00818786
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 - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Heriot-Watt University (UNITED KINGDOM)
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Deposited On:22 Apr 2013 14:29

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