Date of this Version
Cellular networks may be found in a variety of natural contexts, from soap foams to biological tissues to grain boundaries in a polycrystal, and the characterization of these structures is therefore a subject of interest to a range of disciplines. An approach to describe the topology of a cellular network in two and three dimensions is presented. This allows for the quantification of a variety of features of the cellular network, including a quantification of topological disorder and a robust measure of the statistical similarity or difference of a set of structures. The results of this analysis are presented for numerous simulated systems including the Poisson-Voronoi and the steady-state grain growth structures in two and three dimensions.
Mason, J. K., Lazar, E. A., MacPherson, R. D., & Srolovitz, D. J. (2012). Statistical Topology of Cellular Networks in Two and Three Dimensions. Retrieved from https://repository.upenn.edu/mse_papers/220
Date Posted: 27 February 2013
This document has been peer reviewed.