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A Fixed Point Approach to Analysis and Optimization of Motion Compensated Predictive Coding

In this paper, we propose a fixed point theoretical analysis of motion compensated predictive coding and demonstrate its potential in encoder optimization. Through viewing the encoder-decoder pair as a nonlinear dynamical system and inquiring about its convergent property, we demonstrate the feasibility of approximating the fixed point through recursive coding both theoretically and experimentally. Such a recursive coding approach to encoder optimization admits an interpretation of finding a more compact representation through local perturbation on the perceptual manifold. Experimental results have shown that our approach can achieve bit savings of 5-40% without sacrificing visual quality when tested on the KTA implementation of H.264 (JM14.2).