Model Based Estimation of Geometric Characteristics of Open Foams

Katja Schladitz (), Claudia Redenbach, Tetyana Sych and Michael Godehardt
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Katja Schladitz: Fraunhofer ITWM, Department Image Processing
Claudia Redenbach: Technische Universität Kaiserslautern
Tetyana Sych: Fraunhofer ITWM, Department Image Processing
Michael Godehardt: Fraunhofer ITWM, Department Image Processing

Methodology and Computing in Applied Probability, 2012, vol. 14, issue 4, 1011-1032

Abstract: Abstract 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 tessellations.

Keywords: Image analysis; 3D images; Porous media; Solid foams; Intrinsic volumes; Spatial tessellation; Voronoi tessellation; Laguerre tessellation; Primary 60D05; Secondary 62H35 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s11009-010-9208-5

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