Geometric Computing for Freeform Architecture

Handle URI:
http://hdl.handle.net/10754/334630
Title:
Geometric Computing for Freeform Architecture
Authors:
Wallner, J.; Pottmann, Helmut ( 0000-0002-3195-9316 )
Abstract:
Geometric computing has recently found a new field of applications, namely the various geometric problems which lie at the heart of rationalization and construction-aware design processes of freeform architecture. We report on our work in this area, dealing with meshes with planar faces and meshes which allow multilayer constructions (which is related to discrete surfaces and their curvatures), triangles meshes with circle-packing properties (which is related to conformal uniformization), and with the paneling problem. We emphasize the combination of numerical optimization and geometric knowledge.
KAUST Department:
King Abdullah University of Science and Technology, Thuwal, Saudi Arabia
Citation:
Wallner J, Pottmann H (2011) Geometric Computing for Freeform Architecture. Mathematics in Industry 1: 4. doi:10.1186/2190-5983-1-4.
Publisher:
SpringerOpen
Journal:
Journal of Mathematics in Industry
Issue Date:
3-Jun-2011
DOI:
10.1186/2190-5983-1-4
Type:
Article
ISSN:
21905983
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorWallner, J.en
dc.contributor.authorPottmann, Helmuten
dc.date.accessioned2014-11-11T14:32:46Zen
dc.date.available2014-11-11T14:32:46Zen
dc.date.issued2011-06-03en
dc.identifier.citationWallner J, Pottmann H (2011) Geometric Computing for Freeform Architecture. Mathematics in Industry 1: 4. doi:10.1186/2190-5983-1-4.en
dc.identifier.issn21905983en
dc.identifier.doi10.1186/2190-5983-1-4en
dc.identifier.urihttp://hdl.handle.net/10754/334630en
dc.description.abstractGeometric computing has recently found a new field of applications, namely the various geometric problems which lie at the heart of rationalization and construction-aware design processes of freeform architecture. We report on our work in this area, dealing with meshes with planar faces and meshes which allow multilayer constructions (which is related to discrete surfaces and their curvatures), triangles meshes with circle-packing properties (which is related to conformal uniformization), and with the paneling problem. We emphasize the combination of numerical optimization and geometric knowledge.en
dc.language.isoenen
dc.publisherSpringerOpenen
dc.rightsThis is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.rightsArchived with thanks to Journal of Mathematics in Industryen
dc.rights.urihttp://creativecommons.org/licenses/by/2.0/en
dc.subjectDesign processen
dc.subjectDiscrete surfacesen
dc.subjectFreeformsen
dc.subjectGeometric computingen
dc.subjectGeometric knowledgeen
dc.subjectGeometric problemsen
dc.subjectMultilayer constructionen
dc.subjectNumerical optimizationsen
dc.subjectPlanar faceen
dc.subjectUniformizationen
dc.subjectGeometryen
dc.titleGeometric Computing for Freeform Architectureen
dc.typeArticleen
dc.contributor.departmentKing Abdullah University of Science and Technology, Thuwal, Saudi Arabiaen
dc.identifier.journalJournal of Mathematics in Industryen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionTU Graz, Kopernikusgasse 24, 8010 Graz, Austriaen
dc.contributor.institutionTU Wien, Wiedner Hauptstr. 8-10, 1040 Wien, Austriaen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorPottmann, Helmuten
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