TY - JOUR
T1 - Probabilistic image processing by means of the Bethe approximation for the Q-Ising model
AU - Tanaka, Kazuyuki
AU - Inoue, Jun Ichi
AU - Titterington, D. M.
PY - 2003/10/31
Y1 - 2003/10/31
N2 - The framework of Bayesian image restoration for multi-valued images by means of the Q-Ising model with nearest-neighbour interactions is presented. Hyperparameters in the probabilistic model are determined so as to maximize the marginal likelihood. A practical algorithm is described for multi-valued image restoration based on the Bethe approximation. The algorithm corresponds to loopy belief propagation in artificial intelligence. We conclude that, in real world grey-level images, the Q-Ising model can give us good results.
AB - The framework of Bayesian image restoration for multi-valued images by means of the Q-Ising model with nearest-neighbour interactions is presented. Hyperparameters in the probabilistic model are determined so as to maximize the marginal likelihood. A practical algorithm is described for multi-valued image restoration based on the Bethe approximation. The algorithm corresponds to loopy belief propagation in artificial intelligence. We conclude that, in real world grey-level images, the Q-Ising model can give us good results.
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U2 - 10.1088/0305-4470/36/43/025
DO - 10.1088/0305-4470/36/43/025
M3 - Article
AN - SCOPUS:0242509829
VL - 36
SP - 11023
EP - 11035
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 43
ER -