Fitting three-dimensional Laguerre tessellations to foam structures

DOI10.1080/02664760802188112zbMath1253.62102OpenAlexW2003461670MaRDI QIDQ3183822

Claudia Redenbach

Publication date: 21 October 2009

Published in: Journal of Applied Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02664760802188112

zbMATH Keywords

random tessellationLaguerre tessellation3D imagecell characteristicsclosed foamfoam modelvolume image

Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30) Applications of statistics (62P99) Applications of statistics to physics (62P35)

Related Items (13)

A microstructural model for homogenisation and cracking of piezoelectric polycrystals ⋮ Model based estimation of geometric characteristics of open foams ⋮ An enhanced grain-boundary framework for computational homogenization and micro-cracking simulations of polycrystalline materials ⋮ Microstructure characterization and stochastic modeling of open‐cell foam based on μCT‐image analysis ⋮ Analysis of an open foam generated from computerized tomography scans of physical foam samples ⋮ Fitting Spherical Laguerre Voronoi Diagrams to Real-World Tessellations Using Planar Photographic Images ⋮ Geometry of iteration stable tessellations: connection with Poisson hyperplanes ⋮ Fast methods for computing centroidal Laguerre tessellations for prescribed volume fractions with applications to microstructure generation of polycrystalline materials ⋮ Parametric representation of 3D grain ensembles in polycrystalline microstructures ⋮ Modelling intergranular and transgranular micro-cracking in polycrystalline materials ⋮ Optimal polyhedral description of 3D polycrystals: method and application to statistical and synchrotron X-ray diffraction data ⋮ 3D image-based stochastic micro-structure modelling of foams for simulating elasticity ⋮ Computational generation of open-foam representative volume elements with morphological control using distance fields

Uses Software

• MAVI

Cites Work

• Unnamed Item
• Mechanical properties of open cell foams: Simulations by Laguerre tesselation procedure
• A criterion for the affine equivalence of cell complexes in \(R^ d\) and convex polyhedra in \(R^{d+1}\)
• Three-dimensional convex hull as a fruitful source of diagrams
• Random Laguerre tessellations
• Power Diagrams: Properties, Algorithms and Applications

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