Decomposing cavities in digital volumes into products of cycles

The homology of binary 3{dimensional digital images (digi- tal volumes) provides concise algebraic description of their topology in terms of connected components, tunnels and cavities. Homology gener- ators corresponding to these features are represented by nontrivial 0{ cycles, 1{cycles and 2{cycle...

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Bibliographic Details
Main Author: Berciano, Ainhoa (author)
Other Authors: Molina-Abril, Helena (author), Pacheco, Ana (author), Pilarczyk, Pawel (author), Real, Pedro (author)
Format: conferencePaper
Language:eng
Published: 2009
Subjects:
Homology
Cubical homology
Cubical set
Cell complex
Digital image
Cavity
Cycle
Alexander Whitney diagonal
Chain homotopy
Algebraic gradient vector eld
algebraic gradient vector field
Science & Technology
Online Access:http://hdl.handle.net/1822/11595
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/11595

Internet

http://hdl.handle.net/1822/11595

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