Image relaxation by use of the Potts model with a fast deterministic method

摘要

We demonstrate a close relationship between classical models from statistical physics and Markov random-field models for image labeling purposes. A picture is taken of a real image or map, defined by a measure of intensity over a set of pixels. Possible class (or gray-level) values are assigned to spin values in Potts theory. We present a continuous analysis of image relaxation by mean-field theory and apply it by using standard and extended Potts models. Accurate relaxation results were obtained with a specific deterministic method called mean-field fast annealing. # 1997 Optical Society of America [S0740-3232(97)01605-0]