289 citations · 628 across the 35 of their papers we have counts for
Showing 2013 · cs.CGShow all
3 papers · 2 filters
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…
cs.CG2013★ 1 cited
Distributed computation of persistent homology
Ulrich Bauer, Michael Kerber, Jan Reininghaus
Persistent homology is a popular and powerful tool for capturing topological features of data. Advances in algorithms for computing persistent homology have reduced the computation…
cs.CG2013★ 6 cited
Measuring Distance between Reeb Graphs
Ulrich Bauer, Xiaoyin Ge, Yusu Wang
One of the prevailing ideas in geometric and topological data analysis is to provide descriptors that encode useful information about hidden objects from observed data. The Reeb gr…