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dc.contributor.authorPottmann, Helmut
dc.contributor.authorHuang, Qixing
dc.contributor.authorDeng, Bailin
dc.contributor.authorSchiftner, Alexander
dc.contributor.authorKilian, Martin
dc.contributor.authorGuibas, Leonidas J.
dc.contributor.authorWallner, Johannes
dc.date.accessioned2015-08-24T08:32:23Z
dc.date.available2015-08-24T08:32:23Z
dc.date.issued2010-07-26
dc.identifier.issn07300301
dc.identifier.doi10.1145/1778765.1778780
dc.identifier.urihttp://hdl.handle.net/10754/575542
dc.description.abstractGeodesic curves in surfaces are not only minimizers of distance, but they are also the curves of zero geodesic (sideways) curvature. It turns out that this property makes patterns of geodesics the basic geometric entity when dealing with the cladding of a freeform surface with wooden panels which do not bend sideways. Likewise a geodesic is the favored shape of timber support elements in freeform architecture, for reasons of manufacturing and statics. Both problem areas are fundamental in freeform architecture, but so far only experimental solutions have been available. This paper provides a systematic treatment and shows how to design geodesic patterns in different ways: The evolution of geodesic curves is good for local studies and simple patterns; the level set formulation can deal with the global layout of multiple patterns of geodesics; finally geodesic vector fields allow us to interactively model geodesic patterns and perform surface segmentation into panelizable parts. © 2010 ACM.
dc.publisherAssociation for Computing Machinery (ACM)
dc.subjectArchitectural geometry
dc.subjectCladding
dc.subjectComputational differential geometry
dc.subjectFreeform surface
dc.subjectGeodesic
dc.subjectGeometry of webs
dc.subjectJacobi field
dc.subjectPattern
dc.subjectTimber rib shell
dc.titleGeodesic patterns
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentVisual Computing Center (VCC)
dc.identifier.journalACM Transactions on Graphics
dc.contributor.institutionStanford University, United States
dc.contributor.institutionEvolute GmbH, TU Wien, Austria
dc.contributor.institutionTU Graz, TU Wien, Austria
kaust.personPottmann, Helmut
kaust.personDeng, Bailin
kaust.personKilian, Martin


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