5 citations · 7 across the 3 of their papers we have counts for
3 papers
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…
math.DG2009★ 1 cited
Optimal homeomorphisms between closed curves
Andrea Cerri, Barbara Di Fabio
The concept of natural pseudo-distance has proven to be a powerful tool for measuring the dissimilarity between topological spaces endowed with continuous real-valued functions. Ro…
math.AT2007★ 5 cited
One-Dimensional Reduction of Multidimensional Persistent Homology
F. Cagliari, B. Di Fabio, M. Ferri
A recent result on size functions is extended to higher homology modules: the persistent homology based on a multidimensional measuring function is reduced to a 1-dimensional one.…