Gibbs models for Bayesian simulation and segmentation of piecewise-uniform textures

Joint Gibbs random field model with multiple pairwise pixel interactions is introduced to describe piecewise-uniform grayscale textures and their region maps. The model allows to deduce Gibbs conditional models of the images under a given region map for simulating and of the region maps under a given grayscale image for segmenting these textures. All the models possess similar procedures of parameter estimation and integrate both image simulation and segmentation into the same Bayesian framework. Experiments with collages of natural textures are presented.