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Stereological reconstruction of polycrystalline materials
Author(s) -
LIEBSCHER A.,
JEULIN D.,
LANTUÉJOUL C.
Publication year - 2015
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/jmi.12232
Subject(s) - laguerre polynomials , crystallite , tessellation (computer graphics) , section (typography) , euclidean geometry , simulated annealing , annealing (glass) , sample (material) , cross section (physics) , plane (geometry) , computer science , geometry , materials science , statistical physics , algorithm , computer graphics (images) , mathematics , mathematical analysis , physics , composite material , thermodynamics , quantum mechanics , metallurgy , operating system
SUMMARY 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.