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cs.CG2025
The Mid-sphere Cousin of the Medial Axis Transform
Herbert Edelsbrunner, Elizabeth Stephenson, Martin Hafskjold Thoresen
The medial axis of a smoothly embedded surface in consists of all points for which the Euclidean distance function on the surface has at least two minima. We general…
cs.CG2013★ 35 cited
The Morse theory of Čech and Delaunay complexes
Ulrich Bauer, Herbert Edelsbrunner
Given a finite set of points in and a radius parameter, we study the Čech, Delaunay-Čech, Delaunay (or Alpha), and Wrap complexes in the light of generalized discrete…