<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-19T09:54:29Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:10256/24783" metadataPrefix="marc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:10256/24783</identifier><datestamp>2024-06-18T12:19:25Z</datestamp><setSpec>com_2072_452955</setSpec><setSpec>com_2072_2054</setSpec><setSpec>col_2072_453069</setSpec></header><metadata><record xmlns="http://www.loc.gov/MARC21/slim" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.loc.gov/MARC21/slim http://www.loc.gov/standards/marcxml/schema/MARC21slim.xsd">
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      <subfield code="a">Coll i Arnau, Narcís</subfield>
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      <subfield code="a">Boada, Imma</subfield>
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      <subfield code="a">Sellarès i Chiva, Joan Antoni</subfield>
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      <subfield code="c">2002</subfield>
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      <subfield code="a">We define a quadtree-based planar Voronoi diagram codification, the Voronoi-Quadtree, valid for generalized sites (points, line-segments, curve-arc segments, ...) and for different distance functions (Euclidean metrics, convex distance functions, ...).We present an algorithm for constructing, at a prefixed level of detail, the Voronoi-Quadtree associated to a Voronoi diagram determined by a set of sites and a given distance function. A second algorithm that, taking as input a Voronoi-Quadtree, visualizes a polygonal approximation of the boundary of the Voronoi diagram is also described</subfield>
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      <subfield code="a">This work was supported by DURSI 2001SGR-00296. The first author was supported in part by grants TIC2000-1009 and TIC2001-2226-C02-02. The second and third authors were supported in part by grants MEC-DGES-SEUID PB98-0933, and TIC2001-2392-C03-01</subfield>
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      <subfield code="a">http://hdl.handle.net/10256/24783</subfield>
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      <subfield code="a">Computer graphics</subfield>
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      <subfield code="a">Voronoi, Polígons de</subfield>
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      <subfield code="a">Voronoi, Polygons</subfield>
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      <subfield code="a">Computer algorithms</subfield>
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      <subfield code="a">The Voronoi-Quadtree: construction and visualization</subfield>
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