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Model Based Estimation of Geometric Characteristics of Open Foams

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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.

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Authors and Affiliations

  1. Fraunhofer ITWM, Department Image Processing, Fraunhofer-Platz 1, 67663, Kaiserslautern, Germany

    Katja Schladitz, Tetyana Sych & Michael Godehardt

  2. Mathematics Department, Technische Universität Kaiserslautern, Erwin-Schrödinger-Straße, 67663, Kaiserslautern, Germany

    Claudia Redenbach

Authors
  1. Katja Schladitz
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  2. Claudia Redenbach
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  3. Tetyana Sych
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  4. Michael Godehardt
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Corresponding author

Correspondence to Katja Schladitz.

Additional information

This work was partially funded by the project “Virtual material design” within project 01 SF 0708 (Fraunhofer–Carnot Cooperation) of the German Federal Ministry of Education and Research.

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Schladitz, K., Redenbach, C., Sych, T. et al. Model Based Estimation of Geometric Characteristics of Open Foams. Methodol Comput Appl Probab 14, 1011–1032 (2012). https://doi.org/10.1007/s11009-010-9208-5

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  • DOI: https://doi.org/10.1007/s11009-010-9208-5

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