Abstract
This Paper Generalizes Time-Discrete Autoregressive Source Coding Results of Rate-Distortion Theory to Two Dimensions. a 2-D Discrete Autoregressive Source is Defined and Shown to Produce a 2-D Wide-Sense Markovian Field. the Rate Distortion Function of the Source is Then Obtained under Assumption of Gaussian Field Statistics and a Squared Error Fidelity Criterion. a Procedure for Generating an Ensemble of 2-D Codewords Whose Statistics Satisfy the Variational Equations for R(D) is Given. These 2-D Codewords Are, by Space-Time Mappings, 1-D Tree Codes, and It is Noted that a Tree Coding Theorem of Jelinek, Berger, Davis and Hellman Applies. the Problem of Instrumenting Nearly Optimum 2-D Sequential Encoding is Discussed Briefly. the Paper Stresses Potential Application to Image Coder Design. Copyright © 1977 by the Institute of Electrical and Electronics Engineers, Inc.
Recommended Citation
J. A. Stuller and B. Kurz, "Intraframe Sequential Picture Coding," IEEE Transactions on Communications, vol. 25, no. 5, pp. 485 - 495, Institute of Electrical and Electronics Engineers, Jan 1977.
The definitive version is available at https://doi.org/10.1109/TCOM.1977.1093847
Department(s)
Electrical and Computer Engineering
International Standard Serial Number (ISSN)
0090-6778
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Jan 1977