18 citations · 46 across the 10 of their papers we have counts for
3 papers · 1 filter
Critical Sets of PL and Discrete Morse Theory: a Correspondence
Ulderico Fugacci, Claudia Landi, Hanife Varlı
Piecewise-linear (PL) Morse theory and discrete Morse theory are used in shape analysis tasks to investigate the topological features of discretized spaces. In spite of their commo…
Topology-Preserving Terrain Simplification
Ulderico Fugacci, Michael Kerber, Hugo Manet
We give necessary and sufficient criteria for elementary operations in a two-dimensional terrain to preserve the persistent homology induced by the height function. These operation…
Computing discrete Morse complexes from simplicial complexes
Ulderico Fugacci, Federico Iuricich, Leila De Floriani
We consider the problem of efficiently computing a discrete Morse complex on simplicial complexes of arbitrary dimension and very large size. Based on a common graph-based formalis…