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Model based estimation of geometric characteristics of open foams

: Schladitz, K.; Redenbach, C.; Sych, T.; Godehardt, M.


Methodology and computing in applied probability 14 (2012), No.4, pp.1011-1032
ISSN: 1387-5841 (Print)
ISSN: 1573-7713 (Online)
Journal Article
Fraunhofer ITWM ()

Open cell foams are a class of modern materials which is interesting for a wide variety of applications and which is not accessible to classical materialography based on 2d images. 3d imaging by micro computed tomography is a practicable alternative. Analysis of the resulting volume images is either based on a simple binarisation of the image or on so-called cell reconstruction by image processing. The first approach allows to estimate mean characteristics like the mean cell volume using the typical cell of a random spatial tessellation as model for the cell shape. The cell reconstruction allows estimation of empirical distributions of cell characteristics. This paper summarises the theoretical background for the first method, in particular estimation of the intrinsic volumes and their densities from discretized data and models for random spatial tessellations. The accuracy of the estimation method is assessed using the dilated edge systems of simulated random spatial t essellations.