A vision from a physical point of view and the information theory on the image segmentation

Entropy has been used in many fields of computer vision, like image restoration, edge detection, pattern recognition, and as an evaluation method for image segmentation. The mean shift iterative algorithm (MSHi) was proposed in 2006, where the Shannon entropy was used as a stopping criterion. Later, it was introduced a theorem where this ensures, with a new stopping criterion, the convergence of the MSHi and determines what happens with the entropy at the limit of the segmentation process. The goal of this paper is carry out an analysis of the implications of this theorem and highlight the relation that were found from a physical point of view with image segmentation and the information theory. This last aspect being the novel part of this work.