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math.MG2025
An in-depth study of ball-bodies
Shiri Artstein-Avidan, Dan I. Florentin
In this paper we study the class of so called `ball-bodies' in , given by intersections of translates of Euclidean unit balls (or, equivalently, summand of the Eucli…
math.MG2025
A full classification of the isometries of the class of ball-bodies
Shiri Artstein-Avidan, Arnon Chor, Dan Florentin
Complementing our previous results, we give a classification of all isometries (not necessarily surjective) of the metric space consisting of ball-bodies, endowed with the Hausdorf…
math.MG2025
Isometries of the class of ball-bodies
Shiri Artstein-Avidan, Arnon Chor, Dan Florentin
We characterize the surjective isometries, with respect to the Hausdorff distance, of the class of bodies given by intersections of Euclidean unit balls. We show that any such isom…