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Article: Geometry of multi-layer freeform structures for architecture

TitleGeometry of multi-layer freeform structures for architecture
Authors
KeywordsCurvatures
Discrete Differential Geometry
Edge Offset
Hexagonal Mesh
Koebe Polyhedron
Multi-Layer Construction
Offset Mesh
Parallel Mesh
Support Structure
Surfaces In Architecture
Issue Date2007
Citation
Acm Transactions On Graphics, 2007, v. 26 n. 3 How to Cite?
AbstractThe geometric challenges in the architectural design of freeform shapes come mainly from the physical realization of beams and nodes. We approach them via the concept of parallel meshes, and present methods of computation and optimization. We discuss planar faces, beams of controlled height, node geometry, and multilayer constructions. Beams of constant height are achieved with the new type of edge offset meshes. Mesh parallelism is also the main ingredient in a novel discrete theory of curvatures. These methods are applied to the construction of quadrilateral, pentagonal and hexagonal meshes, discrete minimal surfaces, discrete constant mean curvature surfaces, and their geometric transforms. We show how to design geometrically optimal shapes, and how to find a meaningful meshing and beam layout for existing shapes. © 2007 ACM.
Persistent Identifierhttp://hdl.handle.net/10722/152359
ISSN
2015 Impact Factor: 4.218
2015 SCImago Journal Rankings: 2.552
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorPottmann, Hen_US
dc.contributor.authorLiu, Yen_US
dc.contributor.authorWallner, Jen_US
dc.contributor.authorBobenko, Aen_US
dc.contributor.authorWang, Wen_US
dc.date.accessioned2012-06-26T06:37:36Z-
dc.date.available2012-06-26T06:37:36Z-
dc.date.issued2007en_US
dc.identifier.citationAcm Transactions On Graphics, 2007, v. 26 n. 3en_US
dc.identifier.issn0730-0301en_US
dc.identifier.urihttp://hdl.handle.net/10722/152359-
dc.description.abstractThe geometric challenges in the architectural design of freeform shapes come mainly from the physical realization of beams and nodes. We approach them via the concept of parallel meshes, and present methods of computation and optimization. We discuss planar faces, beams of controlled height, node geometry, and multilayer constructions. Beams of constant height are achieved with the new type of edge offset meshes. Mesh parallelism is also the main ingredient in a novel discrete theory of curvatures. These methods are applied to the construction of quadrilateral, pentagonal and hexagonal meshes, discrete minimal surfaces, discrete constant mean curvature surfaces, and their geometric transforms. We show how to design geometrically optimal shapes, and how to find a meaningful meshing and beam layout for existing shapes. © 2007 ACM.en_US
dc.languageengen_US
dc.relation.ispartofACM Transactions on Graphicsen_US
dc.rightsACM Transactions on Graphics. Copyright © Association for Computing Machinery, Inc.-
dc.subjectCurvaturesen_US
dc.subjectDiscrete Differential Geometryen_US
dc.subjectEdge Offseten_US
dc.subjectHexagonal Meshen_US
dc.subjectKoebe Polyhedronen_US
dc.subjectMulti-Layer Constructionen_US
dc.subjectOffset Meshen_US
dc.subjectParallel Meshen_US
dc.subjectSupport Structureen_US
dc.subjectSurfaces In Architectureen_US
dc.titleGeometry of multi-layer freeform structures for architectureen_US
dc.typeArticleen_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.doi10.1145/1276377.1276458en_US
dc.identifier.scopuseid_2-s2.0-34547673005en_US
dc.identifier.hkuros141110-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34547673005&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume26en_US
dc.identifier.issue3en_US
dc.identifier.isiWOS:000248914000068-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridPottmann, H=7003351050en_US
dc.identifier.scopusauthoridLiu, Y=27172089200en_US
dc.identifier.scopusauthoridWallner, J=7004379547en_US
dc.identifier.scopusauthoridBobenko, A=6701911740en_US
dc.identifier.scopusauthoridWang, W=35147101600en_US

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