Duality in Persistent Homology of Images

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May 12, 2020
Adélie Garin, Teresa Heiss, Kelly Maggs, Bea Bleile, Vanessa Robins
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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.

* This is an extended abstract for the SoCG Young Researchers Forum 2020  
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