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• W2962773967 abstract "To which degree are shape indices of individual cells of a tessellation characteristic for the stochastic process that generates them? Within the context of stochastic geometry and the physics of disordered materials, this corresponds to the question of relationships between different stochastic processes and models. In the context of applied image analysis of structured synthetic and biological materials, this question is central to the problem of inferring information about the formation process from spatial measurements of the resulting random structure. This chapter addresses this question by a theory-based simulation study of cell shape indices derived from tensor-valued intrinsic volumes, or Minkowski tensors, for a variety of common tessellation models. We focus on the relationship between two indices: (1) the dimensionless ratio 〈V 〉2∕〈A〉3 of empirical average cell volumes to areas, and (2) the degree of cell elongation quantified by the eigenvalue ratio 〈β10,2〉 of the interface Minkowski tensors W10,2. Simulation data for these quantities, as well as for distributions thereof and for correlations of cell shape and cell volume, are presented for Voronoi mosaics of the Poisson point process, determinantal and permanental point processes, Gibbs hard-core processes of spheres, and random sequential absorption processes as well as for Laguerre tessellations of configurations of polydisperse spheres, STIT-tessellations, and Poisson hyperplane tessellations. These data are complemented by experimental 3D image data of mechanically stable ellipsoid configurations, area-minimising liquid foam models, and mechanically stable crystalline sphere configurations. We find that, not surprisingly, the indices 〈V 〉2∕〈A〉3 and 〈β10,2〉 are not sufficient to unambiguously identify the generating process even amongst this limited set of processes. However, we identify significant differences of these shape indices between many of the tessellation models listed above. Therefore, given a realization of a tessellation (e.g., an experimental image), these shape indices are able to narrow the choice of possible generating processes, providing a powerful tool which can be further strengthened by considering density-resolved volume-shape correlations." @default.
• W2962773967 created "2019-07-30" @default.
• W2962773967 creator A5002523915 @default.
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• W2962773967 creator A5027034990 @default.
• W2962773967 creator A5028021485 @default.
• W2962773967 creator A5089165856 @default.
• W2962773967 date "2017-01-01" @default.
• W2962773967 modified "2023-10-18" @default.
• W2962773967 title "Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors" @default.
• W2962773967 cites W1482546668 @default.
• W2962773967 cites W1519516901 @default.
• W2962773967 cites W1541118220 @default.
• W2962773967 cites W1541668664 @default.
• W2962773967 cites W1584290294 @default.
• W2962773967 cites W1818937361 @default.
• W2962773967 cites W1958800402 @default.
• W2962773967 cites W1964836278 @default.
• W2962773967 cites W1967283798 @default.
• W2962773967 cites W1967634446 @default.
• W2962773967 cites W1969706687 @default.
• W2962773967 cites W1972506640 @default.
• W2962773967 cites W1973055814 @default.
• W2962773967 cites W1974277314 @default.
• W2962773967 cites W1983468426 @default.
• W2962773967 cites W1987864449 @default.
• W2962773967 cites W1988662096 @default.
• W2962773967 cites W1994436365 @default.
• W2962773967 cites W1994539194 @default.
• W2962773967 cites W1998226422 @default.
• W2962773967 cites W2006166592 @default.
• W2962773967 cites W2007083328 @default.
• W2962773967 cites W2008523404 @default.
• W2962773967 cites W2009647985 @default.
• W2962773967 cites W2010334098 @default.
• W2962773967 cites W2013916537 @default.
• W2962773967 cites W2018491150 @default.
• W2962773967 cites W2022308778 @default.
• W2962773967 cites W2026036187 @default.
• W2962773967 cites W2026534382 @default.
• W2962773967 cites W2027053193 @default.
• W2962773967 cites W2035603532 @default.
• W2962773967 cites W2036748058 @default.
• W2962773967 cites W2041458992 @default.
• W2962773967 cites W2049703307 @default.
• W2962773967 cites W2052655376 @default.
• W2962773967 cites W2057439276 @default.
• W2962773967 cites W2063280245 @default.
• W2962773967 cites W2065833350 @default.
• W2962773967 cites W2071313227 @default.
• W2962773967 cites W2071611331 @default.
• W2962773967 cites W2076118549 @default.
• W2962773967 cites W2076457329 @default.
• W2962773967 cites W2081260211 @default.
• W2962773967 cites W2085795603 @default.
• W2962773967 cites W2088299053 @default.
• W2962773967 cites W2091038426 @default.
• W2962773967 cites W2092204065 @default.
• W2962773967 cites W2092812368 @default.
• W2962773967 cites W2096514165 @default.
• W2962773967 cites W2098480271 @default.
• W2962773967 cites W2105719454 @default.
• W2962773967 cites W2109918410 @default.
• W2962773967 cites W2111608953 @default.
• W2962773967 cites W2113702345 @default.
• W2962773967 cites W2118166339 @default.
• W2962773967 cites W2119516500 @default.
• W2962773967 cites W2120965315 @default.
• W2962773967 cites W2121471659 @default.
• W2962773967 cites W2123795353 @default.
• W2962773967 cites W2141703866 @default.
• W2962773967 cites W2159094890 @default.
• W2962773967 cites W2159130720 @default.
• W2962773967 cites W2159316557 @default.
• W2962773967 cites W2159560069 @default.
• W2962773967 cites W2167463576 @default.
• W2962773967 cites W2169938610 @default.
• W2962773967 cites W2312657187 @default.
• W2962773967 cites W2312658735 @default.
• W2962773967 cites W2324085057 @default.
• W2962773967 cites W2381022807 @default.
• W2962773967 cites W2484039423 @default.
• W2962773967 cites W2498749355 @default.
• W2962773967 cites W2504619654 @default.
• W2962773967 cites W2962848433 @default.
• W2962773967 cites W2963121780 @default.
• W2962773967 cites W2963687974 @default.
• W2962773967 cites W3104538024 @default.
• W2962773967 cites W38916937 @default.
• W2962773967 cites W4206545993 @default.
• W2962773967 cites W4210862026 @default.
• W2962773967 cites W4233186035 @default.
• W2962773967 cites W4234446632 @default.
• W2962773967 cites W4240133356 @default.
• W2962773967 cites W4241437777 @default.
• W2962773967 cites W4243277793 @default.
• W2962773967 cites W4244002549 @default.
• W2962773967 cites W4248358567 @default.

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