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dc.contributor.authorGavriil, Konstantinos
dc.contributor.authorSchiftner, Alexander
dc.contributor.authorPottmann, Helmut
dc.date.accessioned2019-05-21T13:10:41Z
dc.date.available2019-05-21T13:10:41Z
dc.date.issued2019-02-10
dc.identifier.citationGavriil K, Schiftner A, Pottmann H (2019) Optimizing B-spline surfaces for developability and paneling architectural freeform surfaces. Computer-Aided Design 111: 29–43. Available: http://dx.doi.org/10.1016/j.cad.2019.01.006.
dc.identifier.issn0010-4485
dc.identifier.doi10.1016/j.cad.2019.01.006
dc.identifier.urihttp://hdl.handle.net/10754/653031
dc.description.abstractMotivated by applications in architecture and design, we present a novel method for increasing the developability of a B-spline surface. We use the property that the Gauss image of a developable surface is 1-dimensional and can be locally well approximated by circles. This is cast into an algorithm for thinning the Gauss image by increasing the planarity of the Gauss images of appropriate neighborhoods. A variation of the main method allows us to tackle the problem of paneling a freeform architectural surface with developable panels, in particular enforcing rotational cylindrical, rotational conical and planar panels, which are the main preferred types of developable panels in architecture due to the reduced cost of manufacturing.
dc.description.sponsorshipWe would like to thank Heinz Schmiedhofer for providing the scan and picture of the leather surface example in Fig. 8. This project has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 675789.
dc.publisherElsevier BV
dc.relation.urlhttps://www.sciencedirect.com/science/article/pii/S0010448518304780
dc.subjectArchitectural geometry
dc.subjectComputational differential geometry
dc.subjectConstrained optimization
dc.subjectDevelopable surface
dc.subjectSpline surface
dc.titleOptimizing B-spline surfaces for developability and paneling architectural freeform surfaces
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentVisual Computing Center (VCC)
dc.identifier.journalComputer-Aided Design
dc.contributor.institutionEvolute GmbH, Sonnbergstraße 101/8, Perchtoldsdorf, 2380, , Austria
dc.contributor.institutionApplied Geometry, Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Wiedner, Hauptstrasse, Vienna, 8-10/104, A-1040, , Austria
kaust.personPottmann, Helmut
refterms.dateFOA2019-05-28T11:24:29Z
dc.date.published-online2019-02-10
dc.date.published-print2019-06


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