Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images

  title={Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images},
  author={Stuart Geman and Donald Geman},
  journal={IEEE Transactions on Pattern Analysis and Machine Intelligence},
We make an analogy between images and statistical mechanics systems. Pixel gray levels and the presence and orientation of edges are viewed as states of atoms or molecules in a lattice-like physical system. The assignment of an energy function in the physical system determines its Gibbs distribution. Because of the Gibbs distribution, Markov random field (MRF) equivalence, this assignment also determines an MRF image model. The energy function is a more convenient and natural mechanism for… CONTINUE READING
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