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math.OC2024★ 1 cited
Inverting Laguerre tessellations: Recovering tessellations from the volumes and centroids of their cells using optimal transport
David P. Bourne, Mason Pearce, Steven M. Roper
In this paper we study an inverse problem in convex geometry, inspired by a problem in materials science. Firstly, we consider the question of whether a Laguerre tessellation (a pa…
cond-mat.mtrl-sci2024
Anisotropic power diagrams for polycrystal modelling: efficient generation of curved grains via optimal transport
Maciej Buze, Jean Feydy, Steven M. Roper +2
The microstructure of metals and foams can be effectively modelled with anisotropic power diagrams (APDs), which provide control over the shape of individual grains. One major obst…