KOPS - The Institutional Repository of the University of Konstanz

Computing Voronoi Treemaps : Faster, Simpler, and Resolution-independent

Computing Voronoi Treemaps : Faster, Simpler, and Resolution-independent

Cite This

Files in this item

Checksum: MD5:0c0fd7943da0b9ff34676970cc912087

NOCAJ, Arlind, Ulrik BRANDES, 2012. Computing Voronoi Treemaps : Faster, Simpler, and Resolution-independent. In: Computer Graphics Forum. 31(3pt1), pp. 855-864. ISSN 0167-7055. eISSN 1467-8659. Available under: doi: 10.1111/j.1467-8659.2012.03078.x

@article{Nocaj2012Compu-19893, title={Computing Voronoi Treemaps : Faster, Simpler, and Resolution-independent}, year={2012}, doi={10.1111/j.1467-8659.2012.03078.x}, number={3pt1}, volume={31}, issn={0167-7055}, journal={Computer Graphics Forum}, pages={855--864}, author={Nocaj, Arlind and Brandes, Ulrik} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/19893"> <dcterms:abstract xml:lang="deu">Voronoi treemaps represent hierarchies as nested polygons. We here show that, contrary to the apparent popular belief, utilization of an algorithm for weighted Voronoi diagrams is not only feasible, but also more efficient than previous low-resolution approximations, even when the latter are implemented on graphics hardware. More precisely, we propose an instantiation of Lloyd's method for centroidal Voronoi diagrams with Aurenhammer's algorithm for power diagrams that yields an algorithm running in O(n log n) rather than Ω(n²) time per iteration, with n the number of sites. We describe its implementation and present evidence that it is faster also in practice.</dcterms:abstract> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/19893/2/nb-cvt-12.pdf"/> <dcterms:bibliographicCitation>Publ. in: Computer Graphics Forum ; 31 (2012), 3pt1. - pp. 855-864</dcterms:bibliographicCitation> <dcterms:title>Computing Voronoi Treemaps : Faster, Simpler, and Resolution-independent</dcterms:title> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/36"/> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/36"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-08-02T06:48:28Z</dc:date> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:rights>terms-of-use</dc:rights> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/19893"/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-07-31T22:25:04Z</dcterms:available> <dc:language>deu</dc:language> <dc:contributor>Nocaj, Arlind</dc:contributor> <dc:contributor>Brandes, Ulrik</dc:contributor> <dc:creator>Nocaj, Arlind</dc:creator> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> <dcterms:issued>2012</dcterms:issued> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/19893/2/nb-cvt-12.pdf"/> <dc:creator>Brandes, Ulrik</dc:creator> </rdf:Description> </rdf:RDF>

Downloads since Oct 1, 2014 (Information about access statistics)

nb-cvt-12.pdf 740

This item appears in the following Collection(s)

Search KOPS


Browse

My Account