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Conference Paper: Geometric modeling with conical meshes and developable surfaces

TitleGeometric modeling with conical meshes and developable surfaces
Authors
KeywordsDevelopable Subdivision Surface
Developable Surface
Discrete Differential Geometry
Nonlinear Subdivision
Offset Mesh
Principal Mesh
Quad Mesh
Surfaces In Architecture
Issue Date2006
Citation
ACM SIGGRAPH 2006, Boston, MA., 30 July-3 August 2006. In ACM Transactions on Graphics, 2006, v. 25 n. 3, p. 681-689 How to Cite?
AbstractIn architectural freeform design, the relation between shape and fabrication poses new challenges and requires more sophistication from the underlying geometry. The new concept of conical meshes satisfies central requirements for this application: They are quadri-lateral meshes with planar faces, and therefore particularly suitable for the design of freeform glass structures. Moreover, they possess a natural offsetting operation and provide a support structure orthogonal to the mesh. Being a discrete analogue of the network of principal curvature lines, they represent fundamental shape characteristics. We show how to optimize a quad mesh such that its faces become planar, or the mesh becomes even conical. Combining this perturbation with subdivision yields a powerful new modeling tool for all types of quad meshes with planar faces, making subdivision attractive for architecture design and providing an elegant way of modeling developable surfaces. Copyright © 2006 by the Association for Computing Machinery, Inc.
Persistent Identifierhttp://hdl.handle.net/10722/151887
ISSN
2015 Impact Factor: 4.218
2015 SCImago Journal Rankings: 2.552
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLiu, Yen_US
dc.contributor.authorPottmann, Hen_US
dc.contributor.authorWallner, Jen_US
dc.contributor.authorYang, YLen_US
dc.contributor.authorWang, Wen_US
dc.date.accessioned2012-06-26T06:30:23Z-
dc.date.available2012-06-26T06:30:23Z-
dc.date.issued2006en_US
dc.identifier.citationACM SIGGRAPH 2006, Boston, MA., 30 July-3 August 2006. In ACM Transactions on Graphics, 2006, v. 25 n. 3, p. 681-689en_US
dc.identifier.issn0730-0301en_US
dc.identifier.urihttp://hdl.handle.net/10722/151887-
dc.description.abstractIn architectural freeform design, the relation between shape and fabrication poses new challenges and requires more sophistication from the underlying geometry. The new concept of conical meshes satisfies central requirements for this application: They are quadri-lateral meshes with planar faces, and therefore particularly suitable for the design of freeform glass structures. Moreover, they possess a natural offsetting operation and provide a support structure orthogonal to the mesh. Being a discrete analogue of the network of principal curvature lines, they represent fundamental shape characteristics. We show how to optimize a quad mesh such that its faces become planar, or the mesh becomes even conical. Combining this perturbation with subdivision yields a powerful new modeling tool for all types of quad meshes with planar faces, making subdivision attractive for architecture design and providing an elegant way of modeling developable surfaces. Copyright © 2006 by the Association for Computing Machinery, Inc.en_US
dc.languageengen_US
dc.relation.ispartofACM Transactions on Graphicsen_US
dc.rightsACM Transactions on Graphics. Copyright © Association for Computing Machinery, Inc.-
dc.subjectDevelopable Subdivision Surfaceen_US
dc.subjectDevelopable Surfaceen_US
dc.subjectDiscrete Differential Geometryen_US
dc.subjectNonlinear Subdivisionen_US
dc.subjectOffset Meshen_US
dc.subjectPrincipal Meshen_US
dc.subjectQuad Meshen_US
dc.subjectSurfaces In Architectureen_US
dc.titleGeometric modeling with conical meshes and developable surfacesen_US
dc.typeConference_Paperen_US
dc.identifier.emailWang, W: wenping@cs.hku.hken_US
dc.identifier.authorityWang, W=rp00186en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1145/1141911.1141941en_US
dc.identifier.scopuseid_2-s2.0-33749258553en_US
dc.identifier.hkuros141113-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33749258553&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume25en_US
dc.identifier.issue3en_US
dc.identifier.spage681en_US
dc.identifier.epage689en_US
dc.identifier.isiWOS:000239817400026-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLiu, Y=27172089200en_US
dc.identifier.scopusauthoridPottmann, H=7003351050en_US
dc.identifier.scopusauthoridWallner, J=7004379547en_US
dc.identifier.scopusauthoridYang, YL=7409389115en_US
dc.identifier.scopusauthoridWang, W=35147101600en_US
dc.identifier.citeulike2879820-
dc.customcontrol.immutablesml 160108 - merged-

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