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Boolean reconstructions of complex materials: Integral geometric approach

Arns, Christoph; Knackstedt, Mark; Mecke, Klaus


We show that for the Boolean model of random composite media one can, from a single image of a system at any particle fraction, define a set of parameters which allows one to accurately reconstruct the medium for all other phase fractions. The morphological characterization is based on a family of measures known in integral geometry which provides powerful formulas for the Boolean model. The percolation thresholds of either phase are obtained with good accuracy. From the reconstructions one can...[Show more]

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
Source: Physical Review E-Statistical, Nonlinear and Soft Matter Physics
DOI: 10.1103/PhysRevE.80.051303


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