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Voronoi Cells of Varieties (1811.08395v1)
Published 20 Nov 2018 in math.AG, cs.CG, and math.MG
Abstract: Every real algebraic variety determines a Voronoi decomposition of its ambient Euclidean space. Each Voronoi cell is a convex semialgebraic set in the normal space of the variety at a point. We compute the algebraic boundaries of these Voronoi cells.
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