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math.MG2023
Intersection Bodies of Polytopes: Translations and Convexity
Marie-Charlotte Brandenburg, Chiara Meroni
We continue the study of intersection bodies of polytopes, focusing on the behavior of under translations of . We introduce an affine hyperplane arrangement and show that t…
math.MG2023★ 1 cited
Convex Hulls of Curves: Volumes and Signatures
Carlos Améndola, Darrick Lee, Chiara Meroni
Taking the convex hull of a curve is a natural construction in computational geometry. On the other hand, path signatures, central in stochastic analysis, capture geometric propert…
math.MG2021★ 8 cited
Fiber Convex Bodies
Léo Mathis, Chiara Meroni
In this paper we study the fiber body, that is the extension of the notion of fiber polytopes for more general convex bodies. After giving an overview of the properties of the fibe…