Abstract
A complete statistical description of the properties of a cellular microstructure generated by a three-dimensional Poisson-Voronoi tesselation has been obtained by a rigorous computer simulation involving several hundred thousand cells. A two-parameter gamma distribution is found to be a good fit to the cell's face, volume, and surface area distributions. For a sample size of several thousand cells or less, a lognormal distribution can also be used to approximate these distributions. The individual face, area, and edge length distributions are also obtained.
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Kumar, S., Kurtz, S.K., Banavar, J.R. et al. Properties of a three-dimensional Poisson-Voronoi tesselation: A Monte Carlo study. J Stat Phys 67, 523–551 (1992). https://doi.org/10.1007/BF01049719
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DOI: https://doi.org/10.1007/BF01049719