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Improved Spatial-Spectral Superpixel Hyperspectral Unmixing
Open AccessArticle

A Supervised Method for Nonlinear Hyperspectral Unmixing

1
IMEC-Vision Lab, Department of Physics, University of Antwerp, 2000 Antwerp, Belgium
2
Helmholtz Institute Freiberg for Resource Technology, 09599 Freiberg, Germany
*
Author to whom correspondence should be addressed.
Remote Sens. 2019, 11(20), 2458; https://doi.org/10.3390/rs11202458
Received: 4 September 2019 / Revised: 2 October 2019 / Accepted: 18 October 2019 / Published: 22 October 2019
(This article belongs to the Special Issue Advances in Unmixing of Spectral Imagery)
Due to the complex interaction of light with the Earth’s surface, reflectance spectra can be described as highly nonlinear mixtures of the reflectances of the material constituents occurring in a given resolution cell of hyperspectral data. Our aim is to estimate the fractional abundance maps of the materials from the nonlinear hyperspectral data. The main disadvantage of using nonlinear mixing models is that the model parameters are not properly interpretable in terms of fractional abundances. Moreover, not all spectra of a hyperspectral dataset necessarily follow the same particular mixing model. In this work, we present a supervised method for nonlinear spectral unmixing. The method learns a mapping from a true hyperspectral dataset to corresponding linear spectra, composed of the same fractional abundances. A simple linear unmixing then reveals the fractional abundances. To learn this mapping, ground truth information is required, in the form of actual spectra and corresponding fractional abundances, along with spectra of the pure materials, obtained from a spectral library or available in the dataset. Three methods are presented for learning nonlinear mapping, based on Gaussian processes, kernel ridge regression, and feedforward neural networks. Experimental results conducted on an artificial dataset, a data set obtained by ray tracing, and a drill core hyperspectral dataset shows that this novel methodology is very promising. View Full-Text
Keywords: hyperspectral unmixing; spectral mixing models; machine learning algorithms hyperspectral unmixing; spectral mixing models; machine learning algorithms
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Koirala, B.; Khodadadzadeh, M.; Contreras, C.; Zahiri, Z.; Gloaguen, R.; Scheunders, P. A Supervised Method for Nonlinear Hyperspectral Unmixing. Remote Sens. 2019, 11, 2458.

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