Maximum Likelihood Hyperparameter Estimation for Solvable Markov Random Field Model in Image Restoration
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概要
- 論文の詳細を見る
We propose a new solvable Markov random field model for Bayesian image processing and give the exact expressions of the marginal likelihood and the restored image by using the multi-dimensional Gaussian formula and the discrete Fourier transform. The proposed Markov random field model includes the conditional autoregressive model and the simultaneous autoregressive model as a special case. The estimates of hyperparameters are obtained by maximizing the marginal likelihood. We study some statistical properties of the solvable Markov random field model. In some numerical experiments for standard images, we show that the proposed Markov random field model is useful for practical applications in image restorations. The investigation of probabilistic information processing by means of a solvable probabilistic model is recently in progress not only for image processing but also for error correcting codes and so on. The solvable probabilistic model gives us some important aspects for the availability of probabilistic computational systems.
- 社団法人電子情報通信学会の論文
- 2002-03-01
著者
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INOUE Jun-ichi
Department of Basic Science,University of Tokyo
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Inoue Jun-ichi
Department Of Systems And Information Engineering Graduate School Of Engineering Hokkaido University
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TANAKA Kazuyuki
Department of Computer and Mathematical Sciences, Graduate School of Information Sciences, Tohoku Un
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Tanaka Kazuyuki
Department Of Applied Information Sciences Graduate School Of Information Sciences Tohoku University
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Inoue Jun-ichi
Department Of Basic Science University Of Tokyo Core Rescarch For Evolutional Science And Technology
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Tanaka Kazuyuki
Department Of Computer And Mathematical Sciences Graduate School Of Information Sciences Tohoku Univ
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