Minimum Strictly Convex Quadrangulations of Convex Polygons

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MÜLLER-HANNEMANN, Matthias, Karsten WEIHE, 1996. Minimum Strictly Convex Quadrangulations of Convex Polygons

@unpublished{Muller-Hannemann1996Minim-6008, title={Minimum Strictly Convex Quadrangulations of Convex Polygons}, year={1996}, author={Müller-Hannemann, Matthias and Weihe, Karsten} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/6008"> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/6008"/> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103416863-3868037-7"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:08:43Z</dc:date> <dcterms:abstract xml:lang="eng">We present a linear-time algorithm that decomposes a convex polygon conformally into a minimum number of strictly convex quadrilaterals. Moreover, we characterize the polygons that can be decomposed without additional vertices inside the polygon, and we present a linear-time algorithm for such decompositions, too. As an application, we consider the problem of constructing a minimum conformal refinement of a mesh in the three-dimensional space, which approximates the surface of a workpiece. The latter problem has resulted from a cooperation with an engineering company that sells CAD packages. We have proved that this problem is strongly NP-hard, and we present a linear-time algorithm with a constant approximation ratio of 4.</dcterms:abstract> <dc:creator>Müller-Hannemann, Matthias</dc:creator> <dc:rights>deposit-license</dc:rights> <dc:contributor>Weihe, Karsten</dc:contributor> <dc:contributor>Müller-Hannemann, Matthias</dc:contributor> <dc:format>application/pdf</dc:format> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:08:43Z</dcterms:available> <dc:creator>Weihe, Karsten</dc:creator> <dc:language>eng</dc:language> <dcterms:title>Minimum Strictly Convex Quadrangulations of Convex Polygons</dcterms:title> <dcterms:issued>1996</dcterms:issued> </rdf:Description> </rdf:RDF>

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