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Fitting laguerre tessellations to the microstructure of cellular materials

: Vecchio, I.; Schladitz, K.; Redenbach, C.

De Graef, M.:
1st International Conference on 3D Materials Science 2012 (3DMS) : Seven Springs, Pennsylvania, USA, 8 - 12 July 2012
Red Hook, NY: Curran, 2012
ISBN: 978-1-62748-933-1
International Conference on 3D Materials Science (3DMS) <1, 2012, Seven Springs/Pa.>
Conference Paper
Fraunhofer ITWM ()

Cellular materials are employed in many fields, ranging from medical technologies to aerospace industry. In applications, understanding the influence of the microstructures on the physical properties of materials is of crucial importance. Stochastic models are a powerful tool to investigate this link. In particular, random Laguerre tessellations (weighted generalizations of the well-known Voronoi model) generated by systems of non-overlapping balls have proven to be a promising model for rigid foams. Model fitting is based on geometric characteristics estimated from micro-computed tomographic images of the microstructures. More precisely, the model is chosen to minimize a distance measure composed of several geometric characteristics of the typical cell. However, with this approach, inference on the model parameters is time consuming and needs expert knowledge. In this talk, we investigate strategies leading to an automatic model fitting. Finally, this model fitting app roach is applied to polymethacrylimide (PMI) foam samples.