Two-Dimensional Random Fields and Representation of Images
Eugene H. Wong · SIAM Journal on Applied Mathematics · 1968
This paper considers some aspects of two-dimensional random fields with a view toward application in information processing problems involving two-dimensional data. In particular, we call attention to two possible properties which have important implications in terms of representations. They are (a) second order homogeneity with respect to some groups of transformation; (b) the Markovian property. The most interesting results of this paper are those concerning Gaussian random fields which are both homogeneous and Markov.