Holes and Genus of 2D and 3D Digital Images

"Hole" has been a confusing idea in the 3D digital literature. We replace counting holes by the clear geometrical idea of counting non-separating cuts, and show that this gives the Betti number b 1, while b 0 counts components and b 2 cavities. Connected sets with equal b 1 and b 2 must ma...

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Veröffentlicht in:	CVGIP. Graphical models and image processing 1993, Vol.55 (1), p.20-47
Hauptverfasser:	Lee, C.N., Poston, T., Rosenfeld, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Artificial intelligence Computer science control theory systems Exact sciences and technology Pattern recognition. Digital image processing. Computational geometry
Online-Zugang:	Volltext
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