Coloured Voronoi tessellations for Bayesian image analysis and reservoir modelling

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.

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