Non-Markov Gibbs texture model with multiple pairwise pixel interactions

Novel non-Markov Gibbs model of spatially uniform gray-scale textures extends the original Markov/Gibbs one, allowing for gray range shifts to linear gray range transformations. The models possess similar procedures of estimating structures and strengths of pixel interactions based on an analytical initial approximation of Gibbs potentials for a great many interactions. These initial estimates allow one to search for most characteristic interactions. Maximum likelihood estimates of the potentials for the chosen interaction structure are found by a stochastic approximation. This model involves, basically, only minor modifications in a stochastic relaxation used to simulate images. Experiments with natural textures are presented.