This paper presents a Rate-Distortion based optimization procedure for video coding that explicitly incorporates a perceptual distortion measure. A flexible MINMAX (minimizing the maximum distortion) optimization procedure based on Linear Programming (LP) is used to minimize the variation in distortion across frames. The distortion measure utilizes a multi-channel human vision model to generate...

We develop rate-distortion theory for individual data with respect to general distortion measures, that is, a theory of lossy compression of individual data. This is applied to Euclidean distortion, Hamming distortion, Kolmogorov distortion, and Shannon-Fano distortion. We show that in all these cases for every function satisfying the obvious constraints there are data that have this function a...

The robustness of risk measures to changes in underlying loss distributions (distributional uncertainty) is crucial importance making well-informed decisions. In this paper, we quantify, for the class distortion with an absolutely continuous function, its distributional uncertainty by deriving largest (smallest) value when distribution has a known mean and variance and, furthermore, lies within...

AS MENTIONED in the article “Basics of Distortion and Stress Generation during Heat Treatment” in this Division, distortion is a system property, and distortion control during manufacturing processes must follow a system-oriented approach. The fact that the corresponding system is the complete manufacturing chain is very important. One answer to the question of what must be done to control size...

The distortion varieties of a given projective variety are parametrized by duplicating coordinates and multiplying them with monomials. We study their degrees and defining equations. Exact formulas are obtained for the case of one-parameter distortions. These are based on Chow polytopes and Gröbner bases. Multi-parameter distortions are studied using tropical geometry. The motivation for distor...