Visualization of three-dimensional maps

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 t...

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Bibliographic Details
Main Authors: Lozada, L.A.P., de Mendonca, C.X., Stolfi, J.
Format: Conference Proceeding
Language:English
Subjects:
Buildings
Computer graphics
Displays
Energy measurement
Motion pictures
Solid modeling
Springs
Topology
Visualization
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Description
Summary: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.
ISSN:1530-1834
2377-5416
DOI:10.1109/SIBGRA.2000.883920