Title
Semi-Supervised Linear Spectral Unmixing Using a Hierarchical Bayesian Model for Hyperspectral Imagery
Abstract
This paper proposes a hierarchical Bayesian model that can be used for semi-supervised hyperspectral image unmixing. The model assumes that the pixel reflectances result from linear combinations of pure component spectra contaminated by an additive Gaussian noise. The abundance parameters appearing in this model satisfy positivity and additivity constraints. These constraints are naturally expressed in a Bayesian context by using appropriate abundance prior distributions. The posterior distributions of the unknown model parameters are then derived. A Gibbs sampler allows one to draw samples distributed according to the posteriors of interest and to estimate the unknown abundances. An extension of the algorithm is finally studied for mixtures with unknown numbers of spectral components belonging to a know library. The performance of the different unmixing strategies is evaluated via simulations conducted on synthetic and real data.
Year
DOI
Venue
2008
10.1109/TSP.2008.917851
IEEE Transactions on Signal Processing
Keywords
Field
DocType
AWGN,Bayes methods,Markov processes,Monte Carlo methods,geophysical signal processing,image resolution,Gibbs sampler,Markov chain,Monte Carlo methods,additive Gaussian noise,hierarchical Bayesian model,hyperspectral imagery,linear combinations,posterior distributions,semi-supervised linear spectral unmixing,Gibbs sampler,Markov chain Monte Carlo (MCMC) methods,hierarchical Bayesian analysis,hyperspectral images,linear spectral unmixing,reversible jumps
Linear combination,Bayesian inference,Pattern recognition,Posterior probability,Hyperspectral imaging,Artificial intelligence,Prior probability,Gaussian noise,Gibbs sampling,Mathematics,Bayesian probability
Journal
Volume
Issue
ISSN
56
7
1053-587X
Citations 
PageRank 
References 
86
5.24
20
Authors
3
Name
Order
Citations
PageRank
Nicolas Dobigeon12070108.02
Jean-Yves Tourneret283564.32
Chein-I Chang3865.24