11 citations · 12 across the 2 of their papers we have counts for
4 papers · 1 filter
Symmetric functions for fast image retrieval with persistent homology
Alessia Angeli, Massimo Ferri, Ivan Tomba
Persistence diagrams, combining geometry and topology for an effective shape description used in pattern recognition, have already proven to be an effective tool for shape represen…
Persistent topology for natural data analysis - A survey
Massimo Ferri
Natural data offer a hard challenge to data analysis. One set of tools is being developed by several teams to face this difficult task: Persistent topology. After a brief introduct…
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…
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…