Smooth surfaces from bilinear patches: Discrete affine minimal surfaces

Handle URI:
http://hdl.handle.net/10754/334572
Title:
Smooth surfaces from bilinear patches: Discrete affine minimal surfaces
Authors:
Käferböck, Florian; Pottmann, Helmut ( 0000-0002-3195-9316 )
Abstract:
Motivated by applications in freeform architecture, we study surfaces which are composed of smoothly joined bilinear patches. These surfaces turn out to be discrete versions of negatively curved affine minimal surfaces and share many properties with their classical smooth counterparts. We present computational design approaches and study special cases which should be interesting for the architectural application. 2013 Elsevier B.V.
KAUST Department:
King Abdullah University of Science and Technology, Thuwal 23955, Saudi Arabia
Citation:
Käferböck F, Pottmann H (2013) Smooth surfaces from bilinear patches: Discrete affine minimal surfaces. Computer Aided Geometric Design 30: 476-489. doi:10.1016/j.cagd.2013.02.008.
Publisher:
Elsevier BV
Journal:
Computer Aided Geometric Design
Issue Date:
Jun-2013
DOI:
10.1016/j.cagd.2013.02.008
PubMed ID:
23805016
PubMed Central ID:
PMC3688334
Type:
Article
ISSN:
01678396
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorKäferböck, Florianen
dc.contributor.authorPottmann, Helmuten
dc.date.accessioned2014-11-11T14:30:12Z-
dc.date.available2014-11-11T14:30:12Z-
dc.date.issued2013-06en
dc.identifier.citationKäferböck F, Pottmann H (2013) Smooth surfaces from bilinear patches: Discrete affine minimal surfaces. Computer Aided Geometric Design 30: 476-489. doi:10.1016/j.cagd.2013.02.008.en
dc.identifier.issn01678396en
dc.identifier.pmid23805016en
dc.identifier.doi10.1016/j.cagd.2013.02.008en
dc.identifier.urihttp://hdl.handle.net/10754/334572en
dc.description.abstractMotivated by applications in freeform architecture, we study surfaces which are composed of smoothly joined bilinear patches. These surfaces turn out to be discrete versions of negatively curved affine minimal surfaces and share many properties with their classical smooth counterparts. We present computational design approaches and study special cases which should be interesting for the architectural application. 2013 Elsevier B.V.en
dc.language.isoenen
dc.publisherElsevier BVen
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectDiscrete differential geometry Affine minimal surface Asymptotic net Architectural geometry Fabrication-aware designen
dc.subjectComputational designen
dc.subjectFreeformsen
dc.subjectMinimal surfacesen
dc.subjectSmooth surfaceen
dc.subjectAerospace engineeringen
dc.subjectDesignen
dc.subjectArchitectureen
dc.titleSmooth surfaces from bilinear patches: Discrete affine minimal surfacesen
dc.typeArticleen
dc.contributor.departmentKing Abdullah University of Science and Technology, Thuwal 23955, Saudi Arabiaen
dc.identifier.journalComputer Aided Geometric Designen
dc.identifier.pmcidPMC3688334en
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionInstitut fur Diskrete Mathematik und Geometrie, Technische Universitt Wien, Wiedner Hauptstr. 8-10/104, A-1040 Wien, Austriaen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorPottmann, Helmuten

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