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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2001-6
February 2001

Bayesian image analysis with coloured Voronoi tessellations and a view to applications in reservoir modelling


Jesper Møller

Øivind Skare


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 2 and 3 (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.

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This paper has now been published in Statistical Modelling 1, 213 - 232 (2001)