18 citations · 40 across the 9 of their papers we have counts for
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math.AT2020★ 4 cited
From trees to barcodes and back again: theoretical and statistical perspectives
Lida Kanari, Adélie Garin, Kathryn Hess
Methods of topological data analysis have been successfully applied in a wide range of fields to provide useful summaries of the structure of complex data sets in terms of topologi…
math.AT2020★ 9 cited
Duality in Persistent Homology of Images
Adélie Garin, Teresa Heiss, Kelly Maggs +2
We derive the relationship between the persistent homology barcodes of two dual filtered CW complexes. Applied to greyscale digital images, we obtain an algorithm to convert barcod…