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Article: Shape optimization of quad mesh elements

TitleShape optimization of quad mesh elements
Authors
KeywordsElement aspect ratio
Global operations
Grid line
Linear constraints
Local operations
Issue Date2011
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/cag
Citation
Computers & Graphics, 2011, v. 35 n. 3, p. 444-451 How to Cite?
AbstractWe study the problem of optimizing the face elements of a quad mesh surface, that is, re-sampling a given quad mesh to make it possess, as much as possible, face elements of some desired aspect ratio and size. Unlike previous quad mesh optimization/improvement methods based on local operations on a small group of elements, we adopt a global approach that does not introduce extra singularities and therefore preserves the original quad structure of the input mesh. Starting from a collection of quad patches extracted from an input quad mesh, two global operations, i.e. re-sampling and re-distribution, are performed to optimize the number and spacings of grid lines in each patch. Both operations are formulated as simple optimization problems with linear constraints. © 2011 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/140817
ISSN
2021 Impact Factor: 1.821
2020 SCImago Journal Rankings: 0.344
ISI Accession Number ID
Funding AgencyGrant Number
NSFC60933008
Funding Information:

The work of Wenping Wang is partially supported by the State Key Program of NSFC project (60933008).

References

 

DC FieldValueLanguage
dc.contributor.authorLi, Yen_HK
dc.contributor.authorWang, Wen_HK
dc.contributor.authorLing, Ren_HK
dc.contributor.authorTu, Cen_HK
dc.date.accessioned2011-09-23T06:19:41Z-
dc.date.available2011-09-23T06:19:41Z-
dc.date.issued2011en_HK
dc.identifier.citationComputers & Graphics, 2011, v. 35 n. 3, p. 444-451en_HK
dc.identifier.issn0097-8493en_HK
dc.identifier.urihttp://hdl.handle.net/10722/140817-
dc.description.abstractWe study the problem of optimizing the face elements of a quad mesh surface, that is, re-sampling a given quad mesh to make it possess, as much as possible, face elements of some desired aspect ratio and size. Unlike previous quad mesh optimization/improvement methods based on local operations on a small group of elements, we adopt a global approach that does not introduce extra singularities and therefore preserves the original quad structure of the input mesh. Starting from a collection of quad patches extracted from an input quad mesh, two global operations, i.e. re-sampling and re-distribution, are performed to optimize the number and spacings of grid lines in each patch. Both operations are formulated as simple optimization problems with linear constraints. © 2011 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/cagen_HK
dc.relation.ispartofComputers & Graphicsen_HK
dc.subjectElement aspect ratioen_HK
dc.subjectGlobal operationsen_HK
dc.subjectGrid lineen_HK
dc.subjectLinear constraintsen_HK
dc.subjectLocal operations-
dc.titleShape optimization of quad mesh elementsen_HK
dc.typeArticleen_HK
dc.identifier.emailLi, Y: yfli@cs.hku.hken_HK
dc.identifier.emailWang, W: wenping@cs.hku.hk-
dc.identifier.authorityWang, W=rp00186en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.cag.2011.03.037en_HK
dc.identifier.scopuseid_2-s2.0-79957834411en_HK
dc.identifier.hkuros194946en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79957834411&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume35en_HK
dc.identifier.issue3en_HK
dc.identifier.spage444en_HK
dc.identifier.epage451en_HK
dc.identifier.isiWOS:000292226700002-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridTu, C=7402578832en_HK
dc.identifier.scopusauthoridLing, R=14058387100en_HK
dc.identifier.scopusauthoridWang, W=35147101600en_HK
dc.identifier.scopusauthoridLi, Y=37077362300en_HK
dc.identifier.citeulike9189070-
dc.identifier.issnl0097-8493-

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