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Article: Freeform surfaces from single curved panels

TitleFreeform surfaces from single curved panels
Authors
KeywordsArchitectural geometry
Circular strip model
Conical strip model
Developable strip model
Developable surface
Discrete differential geometry
Focal surface
Freeform surface
Geodesic strip model
Panelization
Principal strip model
Semi-discrete surface
Issue Date2008
Citation
Acm Transactions On Graphics, 2008, v. 27 n. 3 How to Cite?
AbstractMotivated by applications in architecture and manufacturing, we discuss the problem of covering a freeform surface by single curved panels. This leads to the new concept of semi-discrete surface representation, which constitutes a link between smooth and discrete surfaces. The basic entity we are working with is the developable strip model. It is the semi-discrete equivalent of a quad mesh with planar faces, or a conjugate parametrization of a smooth surface. We present a B-spline based optimization framework for efficient computing with D-strip models. In particular we study conical and circular models, which semi-discretize the network of principal curvature lines, and which enjoy elegant geometric properties. Together with geodesic models and cylindrical models they offer a rich source of solutions for surface panelization problems. © 2008 ACM.
Persistent Identifierhttp://hdl.handle.net/10722/60599
ISSN
2015 Impact Factor: 4.218
2015 SCImago Journal Rankings: 2.552
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorPottmann, Hen_HK
dc.contributor.authorSchiftner, Aen_HK
dc.contributor.authorBo, Pen_HK
dc.contributor.authorSchmiedhofer, Hen_HK
dc.contributor.authorWang, Wen_HK
dc.contributor.authorBaldassini, Nen_HK
dc.contributor.authorWallner, Jen_HK
dc.date.accessioned2010-05-31T04:14:43Z-
dc.date.available2010-05-31T04:14:43Z-
dc.date.issued2008en_HK
dc.identifier.citationAcm Transactions On Graphics, 2008, v. 27 n. 3en_HK
dc.identifier.issn0730-0301en_HK
dc.identifier.urihttp://hdl.handle.net/10722/60599-
dc.description.abstractMotivated by applications in architecture and manufacturing, we discuss the problem of covering a freeform surface by single curved panels. This leads to the new concept of semi-discrete surface representation, which constitutes a link between smooth and discrete surfaces. The basic entity we are working with is the developable strip model. It is the semi-discrete equivalent of a quad mesh with planar faces, or a conjugate parametrization of a smooth surface. We present a B-spline based optimization framework for efficient computing with D-strip models. In particular we study conical and circular models, which semi-discretize the network of principal curvature lines, and which enjoy elegant geometric properties. Together with geodesic models and cylindrical models they offer a rich source of solutions for surface panelization problems. © 2008 ACM.en_HK
dc.languageengen_HK
dc.relation.ispartofACM Transactions on Graphicsen_HK
dc.subjectArchitectural geometryen_HK
dc.subjectCircular strip modelen_HK
dc.subjectConical strip modelen_HK
dc.subjectDevelopable strip modelen_HK
dc.subjectDevelopable surfaceen_HK
dc.subjectDiscrete differential geometryen_HK
dc.subjectFocal surfaceen_HK
dc.subjectFreeform surfaceen_HK
dc.subjectGeodesic strip modelen_HK
dc.subjectPanelizationen_HK
dc.subjectPrincipal strip modelen_HK
dc.subjectSemi-discrete surfaceen_HK
dc.titleFreeform surfaces from single curved panelsen_HK
dc.typeArticleen_HK
dc.identifier.emailWang, W:wenping@cs.hku.hken_HK
dc.identifier.authorityWang, W=rp00186en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1145/1360612.1360675en_HK
dc.identifier.scopuseid_2-s2.0-49249107635en_HK
dc.identifier.hkuros142234en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-49249107635&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume27en_HK
dc.identifier.issue3en_HK
dc.identifier.isiWOS:000258262000065-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridPottmann, H=7003351050en_HK
dc.identifier.scopusauthoridSchiftner, A=24537977700en_HK
dc.identifier.scopusauthoridBo, P=51963173500en_HK
dc.identifier.scopusauthoridSchmiedhofer, H=24538120500en_HK
dc.identifier.scopusauthoridWang, W=35147101600en_HK
dc.identifier.scopusauthoridBaldassini, N=24537166200en_HK
dc.identifier.scopusauthoridWallner, J=7004379547en_HK

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