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Duality in Persistent Homology of Images

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 نشر من قبل Ad\\'elie Garin
 تاريخ النشر 2020
  مجال البحث الهندسة المعلوماتية
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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.



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