Luis A. P. Lozada,  C. X. Mendonça,  Jorge Stolfi. 

A three-dimensional map is a partition of a 3D manifold into topological polyhedra. We consider the problem of visualizing the topology of a three-dimensional map given only its combinatorial description. Our solution starts by automatically constructing a "nice" geometric realization of the map in R/sup m/, for some m/spl ges/4. The geometric realization is chosen by optimizing certain aesthetic criteria, measured by energy functions. We then project this model to R/sup 3/, and display the resulting multi-celled solid object with a variety of specialized rendering techniques.

http://sibgrapi.sid.inpe.br/rep-/sid.inpe.br/banon/2002/11.07.09.50

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