6 citations · 17 across the 7 of their papers we have counts for
Showing math.ATShow all
3 papers · 1 filter
math.AT2018
On the geometrical properties of the coherent matching distance in 2D persistent homology
Andrea Cerri, Marc Ethier, Patrizio Frosini
In this paper we study a new metric for comparing Betti numbers functions in bidimensional persistent homology, based on coherent matchings, i.e. families of matchings that vary in…
math.AT2010★ 1 cited
Invariance properties of the multidimensional matching distance in Persistent Topology and Homology
Andrea Cerri, Patrizio Frosini
Persistent Topology studies topological features of shapes by analyzing the lower level sets of suitable functions, called filtering functions, and encoding the arising information…
math.AT2009★ 1 cited
Multidimensional persistent homology is stable
Andrea Cerri, Barbara Di Fabio, Massimo Ferri +2
Multidimensional persistence studies topological features of shapes by analyzing the lower level sets of vector-valued functions. The rank invariant completely determines the multi…