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Boolean model

  • Christian Lantuéjoul
Chapter

Abstract

Random sets can be constructed by placing independent random objects at Poisson points and by taking their union. This simple idea underpins the definition of the boolean model. Despite its simplicity, it is methodologically and practically important, and has been the object of a considerable work (Matheron, 1967, 1975; Serra, 1982; Stoyan et al., 1987; Hall, 1988; Molchanov, 1997) .

Keywords

Intensity Function Typical Object Finite Order Poisson Point Process Transition Kernel 
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 2002

Authors and Affiliations

  • Christian Lantuéjoul
    • 1
  1. 1.Centre de GéostatistiqueÉcole des MinesFontainebleauFrance

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