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Set Voronoi diagrams of 3D assemblies of aspherical particles

Set Voronoi diagrams of 3D assemblies of aspherical particles

Authors :
Mohammad Saadatfar
Klaus Mecke
Tomaso Aste
Fabian M. Schaller
Matthias Hoffmann
Gary W. Delaney
Myfanwy E. Evans
Gerd E. Schröder-Turk
Sebastian C. Kapfer
Source :
Philosophical Magazine. 93:3993-4017
Publication Year :
2013
Publisher :
Informa UK Limited, 2013.

Abstract

Several approaches to quantitative local structure characterization for particulate assemblies, such as structural glasses or jammed packings, use the partition of space provided by the Voronoi diagram. The conventional construction for spherical mono-disperse particles, by which the Voronoi cell of a particle is that of its centre point, cannot be applied to configurations of aspherical or polydisperse particles. Here, we discuss the construction of a Set Voronoi diagram for configurations of aspherical particles in three-dimensional space. The Set Voronoi cell of a given particle is composed of all points in space that are closer to the surface (as opposed to the centre) of the given particle than to the surface of any other; this definition reduces to the conventional Voronoi diagram for the case of mono-disperse spheres. An algorithm for the computation of the Set Voronoi diagram for convex particles is described, as a special case of a Voronoi-based medial axis algorithm, based on a triangula...

Details

ISSN :
14786443 and 14786435
Volume :
93
Database :
OpenAIRE
Journal :
Philosophical Magazine
Accession number :
edsair.doi...........5a69b95e010f732457169d0ef7fb0e06
Full Text :
https://doi.org/10.1080/14786435.2013.834389