Functional webs for freeform architecture

Handle URI:
http://hdl.handle.net/10754/561834
Title:
Functional webs for freeform architecture
Authors:
Deng, Bailin; Pottmann, Helmut ( 0000-0002-3195-9316 ) ; Wallner, Johannes
Abstract:
Rationalization and construction-aware design dominate the issue of realizability of freeform architecture. The former means the decomposition of an intended shape into parts which are sufficiently simple and efficient to manufacture; the latter refers to a design procedure which already incorporates rationalization. Recent contributions to this topic have been concerned mostly with small-scale parts, for instance with planar faces of meshes. The present paper deals with another important aspect, namely long-range parts and supporting structures. It turns out that from the pure geometry viewpoint this means studying families of curves which cover surfaces in certain well-defined ways. Depending on the application one has in mind, different combinatorial arrangements of curves are required. We here restrict ourselves to so-called hexagonal webs which correspond to a triangular or tri-hex decomposition of a surface. The individual curve may have certain special properties, like being planar, being a geodesic, or being part of a circle. Each of these properties is motivated by manufacturability considerations and imposes constraints on the shape of the surface. We investigate the available degrees of freedom, show numerical methods of optimization, and demonstrate the effectivity of our approach and the variability of construction solutions derived from webs by means of actual architectural designs.
KAUST Department:
Visual Computing Center (VCC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program
Publisher:
Wiley
Journal:
Computer Graphics Forum
Issue Date:
Aug-2011
DOI:
10.1111/j.1467-8659.2011.02011.x
Type:
Article
ISSN:
01677055
Sponsors:
This research has been supported by the Austrian Science Fund (FWF) within the National Research Network Industrial Geometry (grants S9206, S9209). The authors are grateful to Martin Reis and Heinz Schmiedhofer for their help with construction details and illustrations.
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Visual Computing Center (VCC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorDeng, Bailinen
dc.contributor.authorPottmann, Helmuten
dc.contributor.authorWallner, Johannesen
dc.date.accessioned2015-08-03T09:32:01Zen
dc.date.available2015-08-03T09:32:01Zen
dc.date.issued2011-08en
dc.identifier.issn01677055en
dc.identifier.doi10.1111/j.1467-8659.2011.02011.xen
dc.identifier.urihttp://hdl.handle.net/10754/561834en
dc.description.abstractRationalization and construction-aware design dominate the issue of realizability of freeform architecture. The former means the decomposition of an intended shape into parts which are sufficiently simple and efficient to manufacture; the latter refers to a design procedure which already incorporates rationalization. Recent contributions to this topic have been concerned mostly with small-scale parts, for instance with planar faces of meshes. The present paper deals with another important aspect, namely long-range parts and supporting structures. It turns out that from the pure geometry viewpoint this means studying families of curves which cover surfaces in certain well-defined ways. Depending on the application one has in mind, different combinatorial arrangements of curves are required. We here restrict ourselves to so-called hexagonal webs which correspond to a triangular or tri-hex decomposition of a surface. The individual curve may have certain special properties, like being planar, being a geodesic, or being part of a circle. Each of these properties is motivated by manufacturability considerations and imposes constraints on the shape of the surface. We investigate the available degrees of freedom, show numerical methods of optimization, and demonstrate the effectivity of our approach and the variability of construction solutions derived from webs by means of actual architectural designs.en
dc.description.sponsorshipThis research has been supported by the Austrian Science Fund (FWF) within the National Research Network Industrial Geometry (grants S9206, S9209). The authors are grateful to Martin Reis and Heinz Schmiedhofer for their help with construction details and illustrations.en
dc.publisherWileyen
dc.titleFunctional webs for freeform architectureen
dc.typeArticleen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.identifier.journalComputer Graphics Forumen
dc.contributor.institutionGeometric Modeling and Industrial Geometry Group, TU Wien, Austriaen
dc.contributor.institutionInstitute of Geometry, TU Graz, Austriaen
kaust.authorPottmann, Helmuten
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