This contribution presents a new class of MRF, that is inspired by methods of statistical physics. The new energy function assumes full-connectivity in the neighborhood system and thus solves the modeling problems of MRF in the case of irregular sites. Moreover, it is defined independently from the considered application; this makes it possible to avoid the use of a search algorithm for the energy minima, since those and their analytical properties are provided by theory. Experiments were performed on a database of 12 Objects using multidimensional receptive field histograms. We achieved a recognition rate of 98.33%.