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A robust test for nonlinear mixture detection in hyperspectral images

Altmann, Yoann and Dobigeon, Nicolas and Tourneret, Jean-Yves and Bermudez, José Carlos Moreira A robust test for nonlinear mixture detection in hyperspectral images. (2013) In: IEEE International Conference on Acoustics, Speech, and Signal Processing - ICASSP 2013, 26 May 2013 - 31 May 2013 (Vancouver, Canada).

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Official URL: http://dx.doi.org/10.1109/ICASSP.2013.6638034

Abstract

This paper studies a pixel by pixel nonlinearity detector for hyperspectral image analysis. The reflectances of linearly mixed pixels are assumed to be a linear combination of known pure spectral components (endmembers) contaminated by additive white Gaussian noise. Nonlinear mixing, however, is not restricted to any prescribed nonlinear mixing model. The mixing coefficients (abundances) satisfy the physically motivated sum-to-one and positivity constraints. The proposed detection strategy considers the distance between an observed pixel and the hyperplane spanned by the endmembers to decide whether that pixel satisfies the linear mixing model (null hypothesis) or results from a more general nonlinear mixture (alternative hypothesis). The distribution of this distance is derived under the two hypotheses. Closed-form expressions are then obtained for the probabilities of false alarm and detection as functions of the test threshold. The proposed detector is compared to another nonlinearity detector recently investigated in the literature through simulations using synthetic data. It is also applied to a real hyperspectral image.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6638034
HAL Id:hal-01150345
Audience (conference):International conference proceedings
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 > Universidade Federal de Santa Catarina - UFSC (BRAZIL)
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)
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Deposited By: IRIT IRIT
Deposited On:05 May 2015 09:43

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