11 citations · 16 across the 7 of their papers we have counts for
7 papers
Comparing persistence diagrams through complex vectors
Barbara Di Fabio, Massimo Ferri
The natural pseudo-distance of spaces endowed with filtering functions is precious for shape classification and retrieval; its optimal estimate coming from persistence diagrams is…
The edit distance for Reeb graphs of surfaces
Barbara Di Fabio, Claudia Landi
Reeb graphs are structural descriptors that capture shape properties of a topological space from the perspective of a chosen function. In this work we define a combinatorial metric…
Filtrations induced by continuous functions
Barbara Di Fabio, Patrizio Frosini
In Persistent Homology and Topology, filtrations are usually given by introducing an ordered collection of sets or a continuous function from a topological space to . A natur…
Stability of Reeb graphs under function perturbations: the case of closed curves
Barbara Di Fabio, Claudia Landi
Reeb graphs provide a method for studying the shape of a manifold by encoding the evolution and arrangement of level sets of a simple Morse function defined on the manifold. Since…
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…
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…