Papers › Duality in Persistent Homology of Images
Duality in Persistent Homology of Images
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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