Title
Visualization of Three-Dimensional Maps
Abstract
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. Lozada120.82
Candido Ferreira Xavier de Mendonça Neto2174.33
Jorge Stolfi31559296.06