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dc.contributor.authorPillwein, Stefan
dc.contributor.authorLeimer, Kurt
dc.contributor.authorBirsak, Michael
dc.contributor.authorMusialski, Przemyslaw
dc.date.accessioned2020-10-22T13:06:49Z
dc.date.available2020-10-22T13:06:49Z
dc.date.issued2020-08-12
dc.identifier.citationPillwein, S., Leimer, K., Birsak, M., & Musialski, P. (2020). On elastic geodesic grids and their planar to spatial deployment. ACM Transactions on Graphics, 39(4). doi:10.1145/3386569.3392490
dc.identifier.issn1557-7368
dc.identifier.issn0730-0301
dc.identifier.doi10.1145/3386569.3392490
dc.identifier.urihttp://hdl.handle.net/10754/665654
dc.description.abstractWe propose a novel type of planar-to-spatial deployable structures that we call elastic geodesic grids. Our approach aims at the approximation of freeform surfaces with spatial grids of bent lamellas which can be deployed from a planar configuration using a simple kinematic mechanism. Such elastic structures are easy-to-fabricate and easy-to-deploy and approximate shapes which combine physics and aesthetics. We propose a solution based on networks of geodesic curves on target surfaces and we introduce a set of conditions and assumptions which can be closely met in practice. Our formulation allows for a purely geometric approach which avoids the necessity of numerical shape optimization by building on top of theoretical insights from differential geometry. We propose a solution for the design, computation, and physical simulation of elastic geodesic grids, and present several fabricated small-scale examples with varying complexity. Moreover, we provide an empirical proof of our method by comparing the results to laser-scans of the fabricated models. Our method is intended as a form-finding tool for elastic gridshells in architecture and other creative disciplines and should give the designer an easy-to-handle way for the exploration of such structures.
dc.description.sponsorshipThis research was mainly funded by the Vienna Science and Technology Fund (WWTF ICT15-082) and partially also by the Austrian Science Fund (FWF P27972-N31). The authors thank Florian Rist, Christian Müller, and Helmut Pottmann for inspiring discussions, as well as Etienne Vouga and Josh Vekhter for sharing code.
dc.publisherAssociation for Computing Machinery (ACM)
dc.relation.urlhttps://dl.acm.org/doi/10.1145/3386569.3392490
dc.relation.urlhttp://arxiv.org/pdf/2007.00201
dc.rights© ACM, 2020. 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 [JournalTitle], {[Volume], [Issue], (2020-08-12)} http://doi.acm.org/10.1145/3386569.3392490
dc.rightsThis file is an open access version redistributed from: http://arxiv.org/pdf/2007.00201
dc.titleOn elastic geodesic grids and their planar to spatial deployment
dc.typeArticle
dc.contributor.departmentVisual Computing Center (VCC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalACM Transactions on Graphics
dc.eprint.versionPre-print
dc.contributor.institutionTU Wien
dc.contributor.institutionNJIT
dc.identifier.volume39
dc.identifier.issue4
dc.identifier.arxivid2007.00201
kaust.personBirsak, Michael
dc.identifier.eid2-s2.0-85092434610
refterms.dateFOA2020-12-07T13:37:05Z
dc.date.published-online2020-08-12
dc.date.published-print2020-07-08


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