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Estimating the Intrinsic Dimension of Hyperspectral Images Using a Noise-Whitened Eigengap Approach

Halimi, Abderrahim and Honeine, Paul and Kharouf, Malika and Richard, Cédric and Tourneret, Jean-Yves Estimating the Intrinsic Dimension of Hyperspectral Images Using a Noise-Whitened Eigengap Approach. (2016) IEEE Transactions on Geoscience and Remote Sensing, vol. 54 (n° 7). pp. 3811-3821. ISSN 0196-2892

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Official URL: http://dx.doi.org/10.1109/TGRS.2016.2528298

Abstract

Linear mixture models are commonly used to represent a hyperspectral data cube as linear combinations of endmember spectra. However, determining the number of endmembers for images embedded in noise is a crucial task. This paper proposes a fully automatic approach for estimating the number of endmembers in hyperspectral images. The estimation is based on recent results of random matrix theory related to the so-called spiked population model. More precisely, we study the gap between successive eigenvalues of the sample covariance matrix constructed from high-dimensional noisy samples. The resulting estimation strategy is fully automatic and robust to correlated noise owing to the consideration of a noise-whitening step. This strategy is validated on both synthetic and real images. The experimental results are very promising and show the accuracy of this algorithm with respect to state-of-the-art algorithms.

Item Type:Article
Additional Information:Thanks to the IEEE (Institute of Electrical and Electronics Engineers). The definitive version is available at http://ieeexplore.ieee.org The original PDF of the article can be found at IEEE Transactions on Geoscience and Remote Sensing website : http://ieeexplore.ieee.org/xpl/articleDetails.jsp?reload=true&arnumber=7425180
HAL Id:hal-01325467
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National des Etudes Spatiales - CNES (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Ecole Nationale de l'Aviation Civile - ENAC (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Université Nice Sophia Antipolis (FRANCE)
Other partners > Observatoire de la Côte d'Azur (FRANCE)
Other partners > Rockwell Collins (FRANCE)
Other partners > Thales (FRANCE)
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université de Toulouse I-Sciences Sociales - UT1 (FRANCE)
Other partners > Université de Technologie de Troyes - UTT (FRANCE)
Other partners > Direction Générale de l’Aviation Civile - DGAC (FRANCE)
Other partners > Telecom Bretagne (FRANCE)
Laboratory name:
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Deposited By: Jean-yves TOURNERET
Deposited On:02 Jun 2016 09:42

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