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20242026
most citedInverting Laguerre tessellations: Recovering tessellations from the volumes and centroids of their cells using optimal transport

1 citations · 1 across the 6 of their papers we have counts for

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math.OC2026

Semi-discrete convex order and Laguerre tessellation fitting

David P. Bourne, Thomas Gallouët, Quentin Mérigot +1

Laguerre tessellations offer an efficient way to parameterize a large class of convex partitions of Euclidean space using only a set of points and scalar weights. For this reason,…

math.OC2026

Polynomial diagrams for microstructure modelling

David P. Bourne, Maciej Buze, Thomas Gallouët +1

We formulate a framework of polynomial diagrams, which are a generalisation of power diagrams (PDs) and anisotropic power diagrams (APDs) allowing for boundaries between cells to b…