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• W1989355375 abstract "We develop a statistical-mechanical formulation for image restoration and error-correcting codes. These problems are shown to be equivalent to the Ising spin glass with ferromagnetic bias under random external fields. We prove that the quality of restoration/decoding is maximized at a specific set of parameter values determined by the source and channel properties. For image restoration in a mean-field system a line of optimal performance is shown to exist in the parameter space. These results are illustrated by solving exactly the infinite-range model. The solutions enable us to determine how precisely one should estimate unknown parameters. Monte Carlo simulations are carried out to see how far the conclusions from the infinite-range model are applicable to the more realistic two-dimensional case in image restoration." @default.
• W1989355375 created "2016-06-24" @default.
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• W1989355375 date "1999-07-01" @default.
• W1989355375 modified "2023-10-02" @default.
• W1989355375 title "Statistical mechanics of image restoration and error-correcting codes" @default.
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• W1989355375 doi "https://doi.org/10.1103/physreve.60.132" @default.
• W1989355375 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/11969743" @default.
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