Abstract
In this paper, we introduce a parameter estimation method of the Markov Random Field (MRF), and also present some new energy functions associated with Gibbs Distribution. In applying a MRF as a statistical image model, we can describe the probability density function of image gray-levels as a Gibbs distribution. Its exponential part, namely, the energy function affects the statistical property of the image. In most cases the energy function is defined without being considered an effect caused by the difference of gray-levels between neighboring pixels. In this paper, we propose new energy functions which consist of the difference of gray-levels in the neighborhood and simultaneously present an estimation method of the unknown parameters comprised in the energy function.
