Given an 80-adjacency doxel-based digital four-dimensional hypervolume V, we construct here an associated oriented 4-dimensional polytopal cell complex K(V ), having the same integer homological information (that related to n-dimensional holes that object has) than V. This is the first step toward the construction of an algebraic-topological representation (AT-model) for V, which suitably codifies it mainly in terms of its homological information. This AT-model is especially suitable for global and local topological analysis of digital 4D images. © 2009 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Pacheco, A., & Real, P. (2009). Getting topological information for a 80-adjacency doxel-based 4D volume through a polytopal cell complex. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5856 LNCS, pp. 279–286). https://doi.org/10.1007/978-3-642-10268-4_33
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