Inadequacies Of The Markov Model In Linear Predictive Coding Of Images

R. C. Booton Jr.; P. J. Ready

doi:10.1117/12.954997

13 December 1976 Inadequacies Of The Markov Model In Linear Predictive Coding Of Images

R. C. Booton Jr., P. J. Ready

Proceedings Volume 0087, Advances in Image Transmission Techniques; (1976) https://doi.org/10.1117/12.954997
Event: 20th Annual Technical Symposium, 1976, San Diego, United States

Abstract

This paper describes a rather fundamental conflict between the theoretical and actual performance of differential pulse code modulation (DPCM) when operating on image data. Under the ubiquitous assumption of an exponential image autocorrelation function (Markov Model) and unity predictor weights in the DPCM loop, the one dimensional DPCM (1-D DPCM) predictor is theoretically "better than" the 2-D DPCM predictor. This result, we believe, conflicts with both intuition and practice. We begin by defining DPCM, the predictor error, and the exponential autocorrelation model. Theoretical performance measures for 1- and 2-D DPCM are computed and compared with the results for actual image data. Finally, we discuss possible reasons for the apparent discrepancies between theory and practice.

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R. C. Booton Jr. and P. J. Ready "Inadequacies Of The Markov Model In Linear Predictive Coding Of Images", Proc. SPIE 0087, Advances in Image Transmission Techniques, (13 December 1976); https://doi.org/10.1117/12.954997

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