Distortion

Distortion Engineering

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...

Distortion Varieties

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...

Intermodulation Distortion

Rate–distortion Optimal Boundary Encoding Using an Area Distortion Measure

In this paper an optimal boundary encoding algorithm in the rate-distortion sense is proposed. Second-order Bspline curves are used to model object boundaries. An additive area distortion measure between the original boundary and its approximation is employed in the optimazation process. The problem is formulated in a Directed Acyclic Graph (DAG) paradigm, and the shortest path solution is used...

Rate-Distortion Bounds for an Epsilon-Insensitive Distortion Measure

Direct evaluation of the rate-distortion function has rarely been achieved when it is strictly greater than its Shannon lower bound. In this paper, we consider the rate-distortion function for the distortion measure defined by an ε-insensitive loss function. We first present the Shannon lower bound applicable to any source distribution with finite differential entropy. Then, focusing on the Lap...