Duality in Persistent Homology of Images
2020-05-10Code Available1· sign in to hype
Adélie Garin, Teresa Heiss, Kelly Maggs, Bea Bleile, Vanessa Robins
Code Available — Be the first to reproduce this paper.
ReproduceCode
Abstract
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.