Codimension-one algebraic varieties admit a semialgebraic stratification by Voronoi cell dimension under polyhedral norms, together with an algebraic description of the medial axis.
Ziegler.Lectures on polytopes, volume 152 ofGraduate Texts in Mathematics
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Algebraic Distance Optimization in Polyhedral Norms
Codimension-one algebraic varieties admit a semialgebraic stratification by Voronoi cell dimension under polyhedral norms, together with an algebraic description of the medial axis.