Random Fields And Spatial Renewal Potentials

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


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.


Random Field Cellular Automaton Gibbs Measure Markov Random Field Death Process 
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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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