2009 | OriginalPaper | Buchkapitel
Cell AT-Models for Digital Volumes
verfasst von : Pedro Real, Helena Molina-Abril
Erschienen in: Graph-Based Representations in Pattern Recognition
Verlag: Springer Berlin Heidelberg
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In [4], given a binary 26-adjacency voxel-based digital volume
V
, the homological information (that related to
n
-dimensional holes: connected components, ”tunnels” and cavities) is extracted from a linear map (called homology gradient vector field) acting on a polyhedral cell complex
P
(
V
) homologically equivalent to
V
. We develop here an alternative way for constructing
P
(
V
) based on homological algebra arguments as well as a new more efficient algorithm for computing a homology gradient vector field based on the contractibility of the maximal cells of
P
(
V
).