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Coloured Voronoi tessellations for Bayesian image analysis and reservoir modelling

Department of Mathematical Sciences, Aalborg University, Aalborg, Denmark, jm{at}math.auc.dk

Øivind Skare

Norwegian Computing Center, Oslo, Norway, Department of Biology, University of Oslo, Oslo, Norway

A new flexible prior for Bayesian image analysis and reservoir modelling is defined in terms of interacting coloured Voronoi cells described by a certain nearest-neighbour Markov point process. This prior can be defined in both two and three (as well as higher) dimensions, and simple MCMC algorithms can be used for drawing inference from the posterior distribution. Various 2D and 3D applications are considered.

Key Words: Markov chain Monte Carlo • Markov connected component fields • Markov random fields • nearest-neighbour Markov point processes • polygonal partitions • three-dimensional image analysis • triangulation models

Statistical Modelling, Vol. 1, No. 3, 213-232 (2001)
DOI: 10.1177/1471082X0100100304


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