40 citations · 55 across the 14 of their papers we have counts for
3 papers · 1 filter
Voronoi Cells of Varieties
Diego Cifuentes, Kristian Ranestad, Bernd Sturmfels +1
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 a…
Offset Hypersurfaces and Persistent Homology of Algebraic Varieties
Emil Horobet, Madeleine Weinstein
In this paper, we study the persistent homology of the offset filtration of algebraic varieties. We prove the algebraicity of two quantities central to the computation of persisten…
Learning Algebraic Varieties from Samples
Paul Breiding, Sara Kalisnik Verovsek, Bernd Sturmfels +1
We seek to determine a real algebraic variety from a fixed finite subset of points. Existing methods are studied and new methods are developed. Our focus lies on aspects of topolog…