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arXiv · 1811.08395

Voronoi Cells of Varieties

Diego Cifuentes·Kristian Ranestad·Bernd Sturmfels·Madeleine Weinstein
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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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Diego Cifuentes, Kristian Ranestad, Bernd Sturmfels, Madeleine Weinstein. 2018-11-20. Voronoi Cells of Varieties. https://arxiv.org/abs/1811.08395

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