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cs.CG2026
Bifunction and Interlevel Delaunay Trifiltrations
Ángel Javier Alonso, Michael Kerber, Tung Lam +2
A key property of the Delaunay filtration is that it is topologically (i.e., weakly) equivalent to the offset (union-of-balls) filtration. Recently, this filtration has been extend…
cs.CG2023
Delaunay Bifiltrations of Functions on Point Clouds
Ángel Javier Alonso, Michael Kerber, Tung Lam +1
The Delaunay filtration of a point cloud is a central tool of computational topology. Its use is justified by the topological equ…
cs.CG2021
The Universal -Metric on Merge Trees
Robert Cardona, Justin Curry, Tung Lam +1
Adapting a definition given by Bjerkevik and Lesnick for multiparameter persistence modules, we introduce an -type extension of the interleaving distance on merge trees. We…