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		<citationkey>LozadaMendStol:2000:ViThMa</citationkey>
		<author>Lozada, Luis A. P.,</author>
		<author>Mendonša, C. X.,</author>
		<author>Stolfi, Jorge,</author>
		<title>Visualization of three-dimensional maps</title>
		<conferencename>Brazilian Symposium on Computer Graphics and Image Processing, 13 (SIBGRAPI)</conferencename>
		<year>2000</year>
		<editor>Carvalho, Paulo Cezar Pinto,</editor>
		<editor>Walter, Marcelo,</editor>
		<date>October</date>
		<publisheraddress>Los Alamitos</publisheraddress>
		<publisher>IEEE Computer Society</publisher>
		<conferencelocation>Gramado, RS, Brazil</conferencelocation>
		<keywords>data visualisation, three-dimensional map visualization, 3D manifold, topological polyhedra, combinatorial description, geometric realization, aesthetic criteria, energy functions, R/sup 3/, multi-celled solid object, specialized rendering techniques, data visualization.</keywords>
		<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.</abstract>
		<pages>251-258</pages>
		<notes>The conference was held in Gramado, RS, Brazil, from October 17 to 20.</notes>
		<organization>SBC - Brazilian Computer Society</organization>
		<tertiarytype>Full Paper</tertiarytype>
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		<targetfile>251-258.pdf</targetfile>
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