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dc.contributor.authorJiang, Caigui
dc.contributor.authorWang, Hui
dc.contributor.authorInza, Victor Ceballos
dc.contributor.authorDELLINGER, FELIX
dc.contributor.authorRist, Florian
dc.contributor.authorWallner, Johannes
dc.contributor.authorPottmann, Helmut
dc.date.accessioned2021-05-03T07:15:06Z
dc.date.available2021-05-03T07:15:06Z
dc.date.issued2021
dc.identifier.citationJiang, C., Wang, H., Inza, V. C., Dellinger, F., Rist, F., Wallner, J., & Pottmann, H. (2021). Using isometries for computational design and fabrication. ACM Transactions on Graphics, 40(4), 1–12. doi:10.1145/3450626.3459839
dc.identifier.doi10.1145/3450626.3459839
dc.identifier.urihttp://hdl.handle.net/10754/669048
dc.description.abstractWe solve the task of representing free forms by an arrangement of panels that are manufacturable by precise isometric bending of surfaces made from a small number of molds. In fact we manage to solve the paneling task with surfaces of constant Gaussian curvature alone. This includes the case of developable surfaces which exhibit zero curvature. Our computations are based on an existing discrete model of isometric mappings between surfaces which for this occasion has been refined to obtain higher numerical accuracy. Further topics are interesting connections of the paneling problem with the geometry of Killing vector fields, designing and actuating isometries, curved folding in the double-curved case, and quad meshes with rigid faces that are nevertheless flexible.
dc.description.sponsorshipThis work was supported by the Austrian Science Fund via grants I2978 (SFB-Transregio programme Discretization in geometry and dynamics), W1230 (DK programme Discrete Mathematics) and F77 (SFB grant Advanced Computational Design). V. Ceballos, C. Jiang, F. Rist, and H. Wang were supported by KAUST baseline funding.
dc.language.isoen
dc.publisherACM
dc.rightsArchived with thanks to ACM Transactions on Graphics
dc.titleUsing isometries for computational design and fabrication
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentKing Abdullah University of Science and Technology (KAUST)
dc.contributor.departmentVisual Computing Center (VCC)
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.identifier.journalAccepted by ACM Transactions on Graphics
dc.eprint.versionPost-print
dc.contributor.institutionTU Graz, Austria
dc.contributor.institutionTU Wien, Austria
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
pubs.publication-statusAccepted
kaust.personJiang, Caigui
kaust.personWang, Hui
kaust.personInza, Victor Ceballos
kaust.personRist, Florian
kaust.personPottmann, Helmut
refterms.dateFOA2021-05-03T07:15:07Z
kaust.acknowledged.supportUnitKAUST baseline funding


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