Circular arc structures

Handle URI:
http://hdl.handle.net/10754/575894
Title:
Circular arc structures
Authors:
Bo, Pengbo; Pottmann, Helmut ( 0000-0002-3195-9316 ) ; Kilian, Martin; Wang, Wen Ping; Wallner, Johannes
Abstract:
The 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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program; Visual Computing Center (VCC)
Publisher:
Association for Computing Machinery (ACM)
Journal:
ACM SIGGRAPH 2011 papers on - SIGGRAPH '11
Conference/Event name:
ACM SIGGRAPH 2011, SIGGRAPH 2011
Issue Date:
1-Jul-2011
DOI:
10.1145/1964921.1964996
Type:
Conference Paper
ISSN:
07300301
ISBN:
9781450309431
Appears in Collections:
Conference Papers; Applied Mathematics and Computational Science Program; Applied Mathematics and Computational Science Program; Visual Computing Center (VCC); Visual Computing Center (VCC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorBo, Pengboen
dc.contributor.authorPottmann, Helmuten
dc.contributor.authorKilian, Martinen
dc.contributor.authorWang, Wen Pingen
dc.contributor.authorWallner, Johannesen
dc.date.accessioned2015-08-25T06:18:24Zen
dc.date.available2015-08-25T06:18:24Zen
dc.date.issued2011-07-01en
dc.identifier.isbn9781450309431en
dc.identifier.issn07300301en
dc.identifier.doi10.1145/1964921.1964996en
dc.identifier.urihttp://hdl.handle.net/10754/575894en
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
dc.publisherAssociation for Computing Machinery (ACM)en
dc.subjectArchitectural geometryen
dc.subjectCircular arcen
dc.subjectCongruent nodesen
dc.subjectCyclidesen
dc.subjectDiscrete differential geometryen
dc.subjectDouble-curved and single-curved panelsen
dc.subjectRepetitivityen
dc.subjectVolumetric meshesen
dc.titleCircular arc structuresen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.identifier.journalACM SIGGRAPH 2011 papers on - SIGGRAPH '11en
dc.conference.date2011-08-07 to 2011-08-11en
dc.conference.nameACM SIGGRAPH 2011, SIGGRAPH 2011en
dc.conference.locationVancouver, BC, CANen
dc.contributor.institutionUniv. Hong Kong, Hong Kongen
dc.contributor.institutionTU Wien, Austriaen
dc.contributor.institutionEvolute, TU Wien, Austriaen
dc.contributor.institutionTU Graz, TU Wien, Austriaen
kaust.authorPottmann, Helmuten
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