Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2000 | 10.1109/SIBGRA.2000.883920 | SIBGRAPI |
Keywords | Field | DocType |
combinatorial description,three-dimensional map,energy function,sup m,topological polyhedron,certain aesthetic criterion,geometric realization,three-dimensional maps,multi-celled solid object,spl ge,specialized rendering technique,data visualisation,solid modeling,data visualization,displays,energy functions,topology,computer graphics,computational geometry,visualization,motion pictures,three dimensional | Discrete mathematics,Data visualization,Force field (chemistry),Visualization,Computer science,Polyhedron,Computational geometry,Theoretical computer science,Partition (number theory),Rendering (computer graphics),Manifold | Conference |
ISBN | Citations | PageRank |
0-7695-0878-2 | 0 | 0.34 |
References | Authors | |
8 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Luis A. P. Lozada | 1 | 2 | 0.82 |
Candido Ferreira Xavier de Mendonça Neto | 2 | 17 | 4.33 |
Jorge Stolfi | 3 | 1559 | 296.06 |