Book Review: Piecewise linear topology

Dynamic Computational Topology for Piecewise Linear Curves

A piecewise linear (PL) approximation often serves as the graphics representation for a parametric curve. Algorithms for preserving correct topology for a single static image are available, but significant challenges remain to ensure correct topology when the PL curve is changing shape during synchronized visualization with an ongoing simulation, such as a molecule writhing over time. A tubular...

Piecewise Linear Topology, Evolutionary Algorithms, and Optimization Problems

Schemata theory, Markov chains, and statistical mechanics have been used to explain how evolutionary algorithms (EAs) work. Incremental success has been achieved with all of these methods, but each has been stymied by limitations related to its less-thanglobal view. We show that moving the question into topological space helps in the understanding of why EAs work. Purpose. In this paper we use ...

Piecewise Constant Controlled Linear Fuzzy Systems

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Book Review