Stereological reconstruction of polycrystalline materials |
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Authors: | A LIEBSCHER D JEULIN C LANTUÉJOUL |
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Affiliation: | 1. University of Kaiserslautern, Kaiserslautern, Germany;2. MINES ParisTech, PSL Research University, Centre for Mathematical Morphology, Fontainebleau, France |
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Abstract: | Laguerre tessellations are suitable models for many polycrystalline materials. In this work, we present a reconstruction‐based approach to fit a spatial Laguerre tessellation model to a plane section of a cellular material under the condition that one section of the model resembles the observed section of the material. To account for this special requirement, we introduce a novel Euclidean distance‐based criterion for the model fitting. The model fitting itself is based on Simulated Annealing. If the structure under consideration is a Laguerre tessellation, we found a nearly perfect reconstruction of its spatial cell characteristics in the model. Even for a real sample of a sintered alumina the observed section is captured quite well by the model. |
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Keywords: | Image analysis Laguerre tessellation modelling polycrystalline materials simulated annealing stereology |
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