• Corpus ID: 232013910

The Persistent Homology of Dual Digital Image Constructions

@inproceedings{Bleile2021ThePH,
  title={The Persistent Homology of Dual Digital Image Constructions},
  author={Beatrice Bleile and Ad'elie Garin and Teresa Heiss and K. A. R. Maggs and Vanessa Robins},
  year={2021}
}
To compute the persistent homology of a grayscale digital image one needs to build a simplicial or cubical complex from it. For cubical complexes, the two commonly used constructions (corresponding to direct and indirect digital adjacencies) can give different results for the same image. The two constructions are almost dual to each other, and we use this relationship to extend and modify the cubical complexes to become dual filtered cell complexes. We derive a general relationship between the… 

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