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Voronoi cells of varieties
Journal of Symbolic Computation ( IF 0.6 ) Pub Date : 2020-07-08 , DOI: 10.1016/j.jsc.2020.07.009 Diego Cifuentes , Kristian Ranestad , Bernd Sturmfels , Madeleine Weinstein
中文翻译:
各种不同的 Voronoi 细胞
更新日期:2020-07-08
Journal of Symbolic Computation ( IF 0.6 ) Pub Date : 2020-07-08 , DOI: 10.1016/j.jsc.2020.07.009 Diego Cifuentes , Kristian Ranestad , Bernd Sturmfels , Madeleine Weinstein
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.
中文翻译:
各种不同的 Voronoi 细胞
每个实代数簇都决定了其环境欧几里得空间的 Voronoi 分解。每个 Voronoi 元胞是品种正规空间中某一点的凸半代数集。我们计算这些 Voronoi 单元的代数边界。