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Voronoi Cells of Varieties

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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https://hal.inria.fr/hal-02912262
Contributor : Alain Monteil <>
Submitted on : Wednesday, August 5, 2020 - 3:16:54 PM
Last modification on : Wednesday, August 5, 2020 - 5:14:12 PM
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Diego Cifuentes, Kristian Ranestad, Bernd Sturmfels, Madeleine Weinstein. Voronoi Cells of Varieties. MEGA 2019 - International Conference on Effective Methods in Algebraic Geometry, Jun 2019, Madrid, Spain. ⟨hal-02912262⟩

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