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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.CG2012★ 1 cited
Comparison of Persistent Homologies for Vector Functions: from continuous to discrete and back
Niccolò Cavazza, Marc Ethier, Patrizio Frosini +2
The theory of multidimensional persistent homology was initially developed in the discrete setting, and involved the study of simplicial complexes filtered through an ordering of t…