摘要: This paper generalizes time-discrete autoregressive source coding results of rate-distortion theory to two dimensions. A 2-D discrete is defined and shown produce a widesense Markovian field. The rate distortion function the then obtained under assumption Gaussian field statistics squared error fidelity criterion. procedure for generating an ensemble codewords whose satisfy variational equations R(D) given. These are, by space-time mappings, 1-D tree codes, it noted that theorem Jelinek, Berger, Davis Hellman applies. problem instrumenting nearly optimum sequential encoding discussed briefly. stresses potential application image coder design.