Local surface approximation and its application to smoothing in three-dimensional indirect mesh generation

Merhof, Dorit; Grosso, Roberto; Tremel, Udo; Greiner, Günther

Local surface approximation and its application to smoothing in three-dimensional indirect mesh generation

Dateien

Local_Surface_Approximation_2004.pdfGröße: 6.99 MBDownloads: 403

Datum

2004

Autor:innen

Merhof, Dorit

Grosso, Roberto

Tremel, Udo

Greiner, Günther

Schriftenreihe

Technical Report (TR2) / Friedrich-Alexander-Universität Erlangen

URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-92175

Link zur Lizenz

Urheberrechtlich geschützt

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Informatik und Informationswissenschaft

Publikationstyp

Working Paper/Technical Report

Publikationsstatus

Published

Zusammenfassung

Smoothing techniques are of major importance for the generation of surface meshes. For this reason a considerable amount of research has been spent on developing a large variety of sophisticated smoothing approaches. However, these methods either require direct access to the analytic surface description or are restricted to flat meshes in two dimensions. In particular, if no analytic surface data is available as in the case of indirect mesh generation, it is not possible to reposition nodes on a three-dimensional geometry. To cope with this problem, this paper presents an approach based on the local approximation of an analytic surface which is used for repositioning nodes when smoothing is performed. Furthermore, the paper shows how established two-dimensional smoothing techniques such as length smoothing, angle smoothing and isoparametric smoothing are adapted to three dimensions by combining them with the local surface approximation. A quadrilateral mesh generator that implements the presented techniques finally demonstrates the benefits of this approach.

Fachgebiet (DDC)

004 Informatik

Schlagwörter

local surface approximation, smoothing, three-dimensional surface mesh, indirect mesh generation, quadrilateral

Zitieren

ISO 690

MERHOF, Dorit, Roberto GROSSO, Udo TREMEL, Günther GREINER, 2004. Local surface approximation and its application to smoothing in three-dimensional indirect mesh generation

BibTex

@techreport{Merhof2004Local-5932,
  year={2004},
  series={Technical Report (TR2) / Friedrich-Alexander-Universität Erlangen},
  title={Local surface approximation and its application to smoothing in three-dimensional indirect mesh generation},
  author={Merhof, Dorit and Grosso, Roberto and Tremel, Udo and Greiner, Günther}
}

RDF

<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/123456789/5932">
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:01:27Z</dc:date>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/5932/1/Local_Surface_Approximation_2004.pdf"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:01:27Z</dcterms:available>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dc:contributor>Grosso, Roberto</dc:contributor>
    <dcterms:abstract xml:lang="eng">Smoothing techniques are of major importance for the generation of surface meshes. For this reason a considerable amount of research has been spent on developing a large variety of sophisticated smoothing approaches. However, these methods either require direct access to the analytic surface description or are restricted to flat meshes in two dimensions. In particular, if no analytic surface data is available as in the case of indirect mesh generation, it is not possible to reposition nodes on a three-dimensional geometry. To cope with this problem, this paper presents an approach based on the local approximation of an analytic surface which is used for repositioning nodes when smoothing is performed. Furthermore, the paper shows how established two-dimensional smoothing techniques such as length smoothing, angle smoothing and isoparametric smoothing are adapted to three dimensions by combining them with the local surface approximation. A quadrilateral mesh generator that implements the presented techniques finally demonstrates the benefits of this approach.</dcterms:abstract>
    <dc:creator>Merhof, Dorit</dc:creator>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:creator>Greiner, Günther</dc:creator>
    <dc:contributor>Greiner, Günther</dc:contributor>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:creator>Grosso, Roberto</dc:creator>
    <dcterms:issued>2004</dcterms:issued>
    <dc:format>application/pdf</dc:format>
    <dc:contributor>Tremel, Udo</dc:contributor>
    <dc:creator>Tremel, Udo</dc:creator>
    <dc:language>eng</dc:language>
    <dcterms:title>Local surface approximation and its application to smoothing in three-dimensional indirect mesh generation</dcterms:title>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:contributor>Merhof, Dorit</dc:contributor>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/5932"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/5932/1/Local_Surface_Approximation_2004.pdf"/>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Nein