most citedInverting Laguerre tessellations: Recovering tessellations from the volumes and centroids of their cells using optimal transport

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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…