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math.MG2025
Explicit lower bounds for opaque sets of unit square and unit disc
Markus Kiderlen, Florian Pausinger
Explicit lower bounds for the length of the shortest opaque set for the unit disc and the unit square in the Euclidean plane are derived. The results are based on an explicit appli…
math.MG2025
On the (outer) Minkowski content with lower-dimensional structuring element
Markus Kiderlen, Jan Rataj
Given a convex body (structuring element) and a set in a Euclidean space, we consider the -Minkowski content of . It is defined as the usual isotropic Minkowski conte…