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math.MG2025
Compression Maps Between Polytopes
José Ayala, David Kirszenblat, J. Hyam Rubinstein
A shape of a combinatorial polytope is a convex embedding into Euclidean space. We provide necessary and sufficient conditions for a piecewise linear map between two shapes of the…
math.MG2016
Minimal curvature-constrained networks
David Kirszenblat, Kashyapa Sirinanda, Marcus Brazil +3
This paper introduces an exact algorithm for the construction of a shortest curvature-constrained network interconnecting a given set of directed points in the plane and an iterati…