This Paper Shows that, under Certain Weak Restrictions, a Two-Dimensional Discrete Markov Process Can Be Represented Either "Causally" by a One-Sided Difference Equation, or "Non causally" by a Multiple-Sided Difference Equation. the Former Representation is Pertinent to the Analysis of Image Coders and Processors that Operate Sequentially on Scanned Image Data. the Latter Representation is Applicable to the Analysis of Block Coders and Processors. the General Relation between the Two Representations is Given and the Specialized Forms Resulting under Separable Scene Covariance Studied. Copyright © 1976 by the Institute of Electrical and Electronics Engineers. Inc.
J. A. Stuller, "Two-Dimensional Markov Representations of Sampled Images," IEEE Transactions on Communications, vol. 24, no. 10, pp. 1148 - 1152, Institute of Electrical and Electronics Engineers, Jan 1976.
The definitive version is available at https://doi.org/10.1109/TCOM.1976.1093216
Electrical and Computer Engineering
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01 Jan 1976