On the Topological Characterization of 3-D Polyhedral Microstrutures
To characterize topologically the polycrystalline microstructure of single-phase alloys computer simulations are performed on 3-dimensional cellular models. These infinite periodic cellular systems are constructed from a finite set of space filling convex polyhedra (grains). It is shown that the appropriately selected topological shape factors can be successfully used for the quantitative characterization of computer-simulated microstructures of various types.
J. Gyulai and P.J. Szabó
T. Réti et al., "On the Topological Characterization of 3-D Polyhedral Microstrutures", Materials Science Forum, Vols. 537-538, pp. 563-570, 2007