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Random Fields And Spatial Renewal Potentials

  • J. Demongeot
  • J. Fricot
Conference paper
Part of the NATO ASI Series book series (volume 20)

Abstract

By using an approach similar to that used for Markov random fields, we propose a spatial version of renewal processes, generalizing the usual notion in dimension 1. We characterize the potentials of such renewal random fields and we give a theorem about the presence of phase transition. Finally, we study the problem of the sampling of renewal fields by means of a random automaton, we show simulations and discuss the stopping rules of the process of sampling.

Keywords

Random Field Cellular Automaton Gibbs Measure Markov Random Field Death Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • J. Demongeot
    • 1
  • J. Fricot
    • 1
  1. 1.IMAG — TIM3ST Martin D Heres CedexFrance

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