Pairwise Markov model applied to unsupervised image separation

Abstract : The paper deals with blind separation and recovery of a noisy mixture of two binary signals on two sensors. Such a model can be applied in the context of recovery of scanned documents subject to show-through and bleed-through effects. The problem can be considered as a blind source separation one. Due to a complex noise and data structure, it is tackled from the more general approach of Bayesian restoration. The data is assumed to follow a Pairwise Markov Chain model: it generalizes Hidden Markov Chain models but it still allows one to calculate the a posteriori distributions of the data. The Expectation-Maximization (EM) and Iterative Conditional Estimation (ICE) methods are considered for parameter estimation, yielding an unsupervised processing. Finally, simulations show the interest of our approach on simulated and real data.
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https://hal.archives-ouvertes.fr/hal-00714717
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Selwa Rafi, Marc Castella, Wojciech Pieczynski. Pairwise Markov model applied to unsupervised image separation. SPPRA '11 : The Eighth IASTED International Conference on Signal Processing, Pattern Recognition, and Applications, Feb 2011, Innsbruck, Austria. ⟨10.2316/P.2011.721-044⟩. ⟨hal-00714717⟩

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