6 citations · 17 across the 7 of their papers we have counts for
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cs.CG2016★ 2 cited
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…
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…
cs.CG2006★ 6 cited
Stability in multidimensional Size Theory
Andrea Cerri, Patrizio Frosini, Claudia Landi
This paper proves that in Size Theory the comparison of multidimensional size functions can be reduced to the 1-dimensional case by a suitable change of variables. Indeed, we show…