Abstract
A two-dimensional cellular complex is a partition of a surface into a finite number of elements—faces (open disks), edges (open arcs), and vertices (points). The topology of a cellular complex is the abstract incidence and adjacency relations among its elements. Here we describe a program that, given only the topology of a cellular complex, computes a geometric realization of the same—that is, a specific partition of a specific surface in three-space—guided by various aesthetic and presentational criteria.
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Lozada, L. A. P., De Mendonça, C. F. X., Rosi, R. M., & Stolfi, J. (1997). Automatic visualization of two-dimensional cellular complexes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1190, pp. 303–317). Springer Verlag. https://doi.org/10.1007/3-540-62495-3_56
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