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Conference Paper: Circular arc structures

TitleCircular arc structures
Authors
Bo, PPottmann, HKilian, MWang, WPWallner, J
KeywordsArchitectural geometry
Circular arc
Congruent nodes
Cyclides
Discrete differential geometry
Issue Date2011
PublisherAssociation for Computing Machinery, Inc.. The Journal's web site is located at http://tog.acm.org
Citation
ACM SIGGRAPH 2011. In ACM Transactions on Graphics, 2011, v. 30 n. 4, article no. 101 How to Cite?
DOI: http://dx.doi.org/10.1145/1964921.1964996
AbstractThe most important guiding principle in computational methods for freeform architecture is the balance between cost efficiency on the one hand, and adherence to the design intent on the other. Key issues are the simplicity of supporting and connecting elements as well as repetition of costly parts. This paper proposes so-called circular arc structures as a means to faithfully realize freeform designs without giving up smooth appearance. In contrast to non-smooth meshes with straight edges where geometric complexity is concentrated in the nodes, we stay with smooth surfaces and rather distribute complexity in a uniform way by allowing edges in the shape of circular arcs. We are able to achieve the simplest possible shape of nodes without interfering with known panel optimization algorithms. We study remarkable special cases of circular arc structures which possess simple supporting elements or repetitive edges, we present the first global approximation method for principal patches, and we show an extension to volumetric structures for truly threedimensional designs. © 2011 ACM.
Persistent Identifierhttp://hdl.handle.net/10722/140809
ISSN
0730-0301
2023 Impact Factor: 7.8
2023 SCImago Journal Rankings: 7.766
ISI Accession Number ID
WOS:000297216400075
Funding AgencyGrant Number
Austrian Science Fund (FWF)S92-06
S92-09
Funding Information:

This research has been supported by the Austrian Science Fund (FWF) under grants No. S92-06 and S92-09 (National Research Network Industrial Geometry). We want to express our thanks to Zaha Hadid Architects, London, to Waagner Biro Stahlbau, Vienna, and to Evolute Gmbh, Vienna, to be able to work on data which come from some of their recent projects. We are grateful to Martin Reis and Heinz Schmiedhofer for their help with construction details and illustrations.

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorBo, Pen_HK
dc.contributor.authorPottmann, Hen_HK
dc.contributor.authorKilian, Men_HK
dc.contributor.authorWang, WPen_HK
dc.contributor.authorWallner, Jen_HK
dc.date.accessioned2011-09-23T06:19:33Z-
dc.date.available2011-09-23T06:19:33Z-
dc.date.issued2011en_HK
dc.identifier.citationACM SIGGRAPH 2011. In ACM Transactions on Graphics, 2011, v. 30 n. 4, article no. 101en_HK
dc.identifier.issn0730-0301en_HK
dc.identifier.urihttp://hdl.handle.net/10722/140809-
dc.description.abstractThe most important guiding principle in computational methods for freeform architecture is the balance between cost efficiency on the one hand, and adherence to the design intent on the other. Key issues are the simplicity of supporting and connecting elements as well as repetition of costly parts. This paper proposes so-called circular arc structures as a means to faithfully realize freeform designs without giving up smooth appearance. In contrast to non-smooth meshes with straight edges where geometric complexity is concentrated in the nodes, we stay with smooth surfaces and rather distribute complexity in a uniform way by allowing edges in the shape of circular arcs. We are able to achieve the simplest possible shape of nodes without interfering with known panel optimization algorithms. We study remarkable special cases of circular arc structures which possess simple supporting elements or repetitive edges, we present the first global approximation method for principal patches, and we show an extension to volumetric structures for truly threedimensional designs. © 2011 ACM.en_HK
dc.languageengen_US
dc.publisherAssociation for Computing Machinery, Inc.. The Journal's web site is located at http://tog.acm.org-
dc.relation.ispartofACM Transactions on Graphicsen_HK
dc.rightsACM Transactions on Graphics. Copyright © Association for Computing Machinery, Inc..-
dc.rights©ACM, 2011. This is the author's version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in PUBLICATION, {VOL#30, ISS#4, (2011)} http://doi.acm.org/10.1145/nnnnnn.nnnnnn-
dc.subjectArchitectural geometryen_HK
dc.subjectCircular arcen_HK
dc.subjectCongruent nodesen_HK
dc.subjectCyclidesen_HK
dc.subjectDiscrete differential geometryen_HK
dc.titleCircular arc structuresen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailWang, WP: wenping@cs.hku.hken_HK
dc.identifier.authorityWang, W=rp00186en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1145/1964921.1964996en_HK
dc.identifier.scopuseid_2-s2.0-80051906694en_HK
dc.identifier.hkuros194921en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80051906694&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume30en_HK
dc.identifier.issue4, article no. 101en_HK
dc.identifier.isiWOS:000297216400075-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWallner, J=7004379547en_HK
dc.identifier.scopusauthoridWang, W=35147101600en_HK
dc.identifier.scopusauthoridKilian, M=24537322800en_HK
dc.identifier.scopusauthoridPottmann, H=7003351050en_HK
dc.identifier.scopusauthoridBo, P=49861097600en_HK
dc.identifier.issnl0730-0301-

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