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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…