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Model Based Estimation of Geometric Characteristics of Open Foams

Author

Listed:
  • 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)

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.

Suggested Citation

  • Katja Schladitz & Claudia Redenbach & Tetyana Sych & Michael Godehardt, 2012. "Model Based Estimation of Geometric Characteristics of Open Foams," Methodology and Computing in Applied Probability, Springer, vol. 14(4), pages 1011-1032, December.
    • Handle: RePEc:spr:metcap:v:14:y:2012:i:4:d:10.1007_s11009-010-9208-5
    DOI: 10.1007/s11009-010-9208-5
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    References listed on IDEAS

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    1. Claudia Lautensack, 2008. "Fitting three-dimensional Laguerre tessellations to foam structures," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(9), pages 985-995.
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