Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images*

作者: Stuart Geman , Donald Geman

DOI: 10.1080/02664769300000058

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摘要: We make an analogy between images and statistical mechanics systems. Pixel gray levels the presence orientation of edges are viewed as states atoms or molecules in a lattice-like physical system. The assignment energy function system determines its Gibbs distribution. Because distribution, Markov random field (MRF) equivalence, this also MRF image model. is more convenient natural mechanism for embodying picture attributes than local characteristics MRF. For range degradation mechanisms, including blurring, non-linear deformations, multiplicative additive noise, posterior distribution with structure akin to By analogy, defines another (imaginary) Gradual temperature reduction isolates low-energy (‘annealing’), what same thing, most probable under Gib...

参考文章(49)
Ulf Grenander, Lectures in pattern theory Springer. ,(1978)
David Griffeath, Introduction to Random Fields Springer New York. pp. 425- 458 ,(1976) , 10.1007/978-1-4684-9455-6_12
Paul Lévy, A Special Problem of Brownian Motion, and a General Theory of Gaussian Random Functions Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Volume 2: Contributions to Probability Theory. pp. 133- 175 ,(1956)
J. Laurie Snell, Ross Kindermann, Markov Random Fields and Their Applications ,(1980)
Avinash C. Kak, Azriel Rosenfeld, Digital Picture Processing ,(1976)
H. Elliott, H. Derin, R. Cristi, D. Geman, Application of the Gibbs distribution to image segmentation international conference on acoustics, speech, and signal processing. ,vol. 9, pp. 678- 681 ,(1984) , 10.1109/ICASSP.1984.1172637
Frank Spitzer, Markov Random Fields and Gibbs Ensembles American Mathematical Monthly. ,vol. 78, pp. 142- 154 ,(1971) , 10.1080/00029890.1971.11992710
T. Assefi, N. E. Nahi, Bayesian recursive image estimation. ,(1972)
Azriel Rosenfeld, Robert A. Hummel, Steven W. Zucker, Scene Labeling by Relaxation Operations IEEE Transactions on Systems, Man, and Cybernetics. ,vol. SMC-6, pp. 420- 433 ,(1976) , 10.1109/TSMC.1976.4309519