Interactive Design of Developable Surfaces

Handle URI:
http://hdl.handle.net/10754/596619
Title:
Interactive Design of Developable Surfaces
Authors:
Tang, Chengcheng ( 0000-0002-4875-6670 ) ; Bo, Pengbo; Wallner, Johannes; Pottmann, Helmut ( 0000-0002-3195-9316 )
Abstract:
We present a new approach to geometric modeling with developable surfaces and the design of curved-creased origami. We represent developables as splines and express the nonlinear conditions relating to developability and curved folds as quadratic equations. This allows us to utilize a constraint solver, which may be described as energy-guided projection onto the constraint manifold, and which is fast enough for interactive modeling. Further, a combined primal-dual surface representation enables us to robustly and quickly solve approximation problems.
KAUST Department:
Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Interactive Design of Developable Surfaces 2016, 35 (2):1 ACM Transactions on Graphics
Publisher:
Association for Computing Machinery (ACM)
Issue Date:
15-Jan-2016
DOI:
10.1145/2832906
Type:
Article
ISSN:
07300301
Additional Links:
http://dl.acm.org/citation.cfm?doid=2882845.2832906
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorTang, Chengchengen
dc.contributor.authorBo, Pengboen
dc.contributor.authorWallner, Johannesen
dc.contributor.authorPottmann, Helmuten
dc.date.accessioned2016-02-18T14:01:48Zen
dc.date.available2016-02-18T14:01:48Zen
dc.date.issued2016-01-15en
dc.identifier.citationInteractive Design of Developable Surfaces 2016, 35 (2):1 ACM Transactions on Graphicsen
dc.identifier.issn07300301en
dc.identifier.doi10.1145/2832906en
dc.identifier.urihttp://hdl.handle.net/10754/596619en
dc.description.abstractWe present a new approach to geometric modeling with developable surfaces and the design of curved-creased origami. We represent developables as splines and express the nonlinear conditions relating to developability and curved folds as quadratic equations. This allows us to utilize a constraint solver, which may be described as energy-guided projection onto the constraint manifold, and which is fast enough for interactive modeling. Further, a combined primal-dual surface representation enables us to robustly and quickly solve approximation problems.en
dc.language.isoenen
dc.publisherAssociation for Computing Machinery (ACM)en
dc.relation.urlhttp://dl.acm.org/citation.cfm?doid=2882845.2832906en
dc.rights© ACM, 2016. 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 ACM Transactions on Graphics, Volume 35, Issue 2, Jan 15, 2016. http://dl.acm.org/citation.cfm?doid=2882845.2832906en
dc.titleInteractive Design of Developable Surfacesen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.eprint.versionPost-printen
dc.contributor.institutionHarbin Institute of Technology, Shandong, Chinaen
dc.contributor.institutionGraz University of Technology, Graz, Austriaen
dc.contributor.institutionVienna University of Technology and KAUST, Wien, Austriaen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorTang, Chengchengen
kaust.authorBo, Pengboen
kaust.authorPottmann, Helmuten
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