@inproceedings{Lipman2007GPUas-5564,
  year={2007},
  doi={10.2312/SGP/SGP07/117-123},
  title={GPU-assisted Positive Mean Value Coordinates for Mesh Deformations},
  publisher={Eurographics Association},
  address={Aire-la-Ville},
  booktitle={SGP 2007: Symposium on Geometry Processing 2007 ; Fifth Eurographics Symposium on Geometry Processing},
  editor={Belyaev, Alexander},
  author={Lipman, Yaron and Kopf, Johannes and Cohen-Or, Daniel and Levin, David}
}

<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/server/rdf/resource/123456789/5564">
    <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by-nc-nd/2.0/"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/5564/1/GPU_assisted_Positive_Mean_Value_Coordinates_for_Mesh_Deformations.pdf"/>
    <dc:rights>Attribution-NonCommercial-NoDerivs 2.0 Generic</dc:rights>
    <dc:creator>Levin, David</dc:creator>
    <dc:contributor>Kopf, Johannes</dc:contributor>
    <dc:creator>Lipman, Yaron</dc:creator>
    <dc:format>application/pdf</dc:format>
    <dcterms:title>GPU-assisted Positive Mean Value Coordinates for Mesh Deformations</dcterms:title>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T15:56:28Z</dcterms:available>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/5564/1/GPU_assisted_Positive_Mean_Value_Coordinates_for_Mesh_Deformations.pdf"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dc:contributor>Levin, David</dc:contributor>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/5564"/>
    <dcterms:issued>2007</dcterms:issued>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:contributor>Cohen-Or, Daniel</dc:contributor>
    <dc:contributor>Lipman, Yaron</dc:contributor>
    <dc:creator>Kopf, Johannes</dc:creator>
    <dcterms:abstract xml:lang="eng">In this paper we introduce positive mean value coordinates (PMVC) for mesh deformation. Following the observations of DeRose and Meyer [JMD*07] we show the advantage of having positive coordinates. The control points of the deformation are the vertices of a "cage" enclosing the deformed mesh. To define positive mean value coordinates for a given vertex, the visible portion of the cage is integrated over a sphere.&lt;br /&gt;Unlike MVC [JSW05], PMVC are computed numerically. We show how the PMVC integral can be efficiently computed with graphics hardware. While the properties of PMVC are similar to those of Harmonic coordinates [JMD*07], the setup time of the PMVC is only of a few seconds for typical meshes with 30K vertices. This speed-up renders the new coordinates practical and easy to use.</dcterms:abstract>
    <dc:language>eng</dc:language>
    <dcterms:bibliographicCitation>First publ. in: SGP 2007: Symposium on Geometry Processing 2007 ; Fifth Eurographics Symposium on Geometry Processing ; Barcelona, Spain, July 04-06, 2007 / Eds.: Alexander Belyaev ... Aire-la-Ville : Eurographics Assoc., 2007</dcterms:bibliographicCitation>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T15:56:28Z</dc:date>
    <dc:creator>Cohen-Or, Daniel</dc:creator>
  </rdf:Description>
</rdf:RDF>