Duality in Persistent Homology of Images

10 May 2020  ·  Adélie Garin, Teresa Heiss, Kelly Maggs, Bea Bleile, Vanessa Robins ·

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 barcodes between the two different (dual) topological models of pixel connectivity.

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