1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.AT2022★ 1 cited
Geometry of the matching distance for 2D filtering functions
Marc Ethier, Patrizio Frosini, Nicola Quercioli +1
In this paper we exploit the concept of extended Pareto grid to study the geometric properties of the matching distance for -valued regular functions defined on a Rie…
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…
cs.CG2016
The coherent matching distance in 2D persistent homology
Andrea Cerri, Marc Ethier, Patrizio Frosini
Comparison between multidimensional persistent Betti numbers is often based on the multidimensional matching distance. While this metric is rather simple to define and compute by c…