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- W2003461670 abstract "Abstract Foam models, especially random tessellations, are powerful tools to study the relations between the geometric structure of foams and their physical properties. In this paper, we propose the use of random Laguerre tessellations, weighted versions of the well-known Voronoi tessellations, as models for the microstructure of foams. Based on geometric characteristics estimated from a tomographic image of a closed-cell polymer foam, we fit a Laguerre tessellation model to the material. It is shown that this model allows for a better fit of the geometric structure of the foam than some classical Voronoi tessellation models. Keywords: cell characteristicsclosed foamfoam modelLaguerre tessellationrandom tessellation3D imagevolume image Acknowledgements The results presented in this work are part of my PhD thesis written at the Fraunhofer ITWM Kaiserslautern and the University Karlsruhe (TH). I wish to thank Günter Last and Katja Schladitz for their support and advice during my work on this thesis. The presentation of the results in the present form was supported by the Swedish Foundation for Strategic Research (SSF) through the Gothenburg Mathematical Modelling Centre (GMMC). Thanks to Aila Särkkä and Chris Glasbey for helpful comments on earlier versions of this paper. Additional informationNotes on contributorsClaudia Lautensack Email: claudia.lautensack@itwm.fraunhofer.de" @default.
- W2003461670 created "2016-06-24" @default.
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- W2003461670 date "2008-08-01" @default.
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- W2003461670 title "Fitting three-dimensional Laguerre tessellations to foam structures" @default.
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- W2003461670 doi "https://doi.org/10.1080/02664760802188112" @default.
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