Voronoi cells of varieties. (March 2022)

• Record Type: Journal Article
• Authors: Cifuentes, Diego; Ranestad, Kristian; Sturmfels, Bernd; Weinstein, Madeleine
• Is Part Of: Journal of symbolic computation. Volume 109(2022)
• Page Start: 351
• Page End: 366
• Publication Date: 2022-03
• Subjects: Voronoi cell -- Computational algebraic geometry -- Metric algebraic geometry; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2020.07.009
• Languages: English
• ISSNs: 0747-7171

Abstract

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.