Convergence Acceleration of Power Estimations for Markov Fields on 2D Lattices

The problem of power estimation for a binary Markov field defined on a planar rectangular lattice is studied. For a given dimension of the lattice, the power of the field is considered as a function of the combinatorial interaction matrix defined at the nodes of the lattice. A method for the convergence acceleration of upper and lower power estimations of the field is proposed. Efficiency of the method is illustrated by the Fibonacci interaction, which generates the field of contour images on a rectangular lattice.