2 citations · 4 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…
cs.CG2008★ 2 cited
Necessary Conditions for Discontinuities of Multidimensional Size Functions
Andrea Cerri, Patrizio Frosini
Some new results about multidimensional Topological Persistence are presented, proving that the discontinuity points of a k-dimensional size function are necessarily related to the…