Abstract
We present here a topo-geometrical description of a subdivided nD object called homological spanning forest representation. This representation is a convenient tool in order to completely control not only geometrical, but also advanced topological information of a given object. By codifying the underlying algebraic topological machinery in terms of coordinate-based graphs, we progress in the task to "combinatorialize" homological information at two levels: local and global. Therefore, our method presents several advantages with respect to the existing Algebraic topological models, and techniques based in Discrete Morse Theory. A construction algorithm has been implemented, and some examples are shown. © 2011 Springer-Verlag.
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CITATION STYLE
Molina-Abril, H., & Real, P. (2011). A homological-based description of subdivided nD objects. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6854 LNCS, pp. 42–50). Springer Verlag. https://doi.org/10.1007/978-3-642-23672-3_6
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