Architectural geometry

Handle URI:
http://hdl.handle.net/10754/555976
Title:
Architectural geometry
Authors:
Pottmann, Helmut ( 0000-0002-3195-9316 ) ; Eigensatz, Michael; Vaxman, Amir; Wallner, Johannes
Abstract:
Around 2005 it became apparent in the geometry processing community that freeform architecture contains many problems of a geometric nature to be solved, and many opportunities for optimization which however require geometric understanding. This area of research, which has been called architectural geometry, meanwhile contains a great wealth of individual contributions which are relevant in various fields. For mathematicians, the relation to discrete differential geometry is significant, in particular the integrable system viewpoint. Besides, new application contexts have become available for quite some old-established concepts. Regarding graphics and geometry processing, architectural geometry yields interesting new questions but also new objects, e.g. replacing meshes by other combinatorial arrangements. Numerical optimization plays a major role but in itself would be powerless without geometric understanding. Summing up, architectural geometry has become a rewarding field of study. We here survey the main directions which have been pursued, we show real projects where geometric considerations have played a role, and we outline open problems which we think are significant for the future development of both theory and practice of architectural geometry.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Architectural geometry 2014, 47:145 Computers & Graphics
Publisher:
Elsevier BV
Journal:
Computers & Graphics
Issue Date:
26-Nov-2014
DOI:
10.1016/j.cag.2014.11.002
Type:
Article
ISSN:
00978493
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S009784931400140X
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorPottmann, Helmuten
dc.contributor.authorEigensatz, Michaelen
dc.contributor.authorVaxman, Amiren
dc.contributor.authorWallner, Johannesen
dc.date.accessioned2015-05-28T13:52:46Zen
dc.date.available2015-05-28T13:52:46Zen
dc.date.issued2014-11-26en
dc.identifier.citationArchitectural geometry 2014, 47:145 Computers & Graphicsen
dc.identifier.issn00978493en
dc.identifier.doi10.1016/j.cag.2014.11.002en
dc.identifier.urihttp://hdl.handle.net/10754/555976en
dc.description.abstractAround 2005 it became apparent in the geometry processing community that freeform architecture contains many problems of a geometric nature to be solved, and many opportunities for optimization which however require geometric understanding. This area of research, which has been called architectural geometry, meanwhile contains a great wealth of individual contributions which are relevant in various fields. For mathematicians, the relation to discrete differential geometry is significant, in particular the integrable system viewpoint. Besides, new application contexts have become available for quite some old-established concepts. Regarding graphics and geometry processing, architectural geometry yields interesting new questions but also new objects, e.g. replacing meshes by other combinatorial arrangements. Numerical optimization plays a major role but in itself would be powerless without geometric understanding. Summing up, architectural geometry has become a rewarding field of study. We here survey the main directions which have been pursued, we show real projects where geometric considerations have played a role, and we outline open problems which we think are significant for the future development of both theory and practice of architectural geometry.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S009784931400140Xen
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Computers & Graphics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computers & Graphics, 26 November 2014. DOI: 10.1016/j.cag.2014.11.002en
dc.subjectStatics-aware designen
dc.subjectPolyhedral patternsen
dc.subjectSupport structuresen
dc.subjectPanelingen
dc.subjectFabrication-aware designen
dc.subjectDiscrete differential geometryen
dc.titleArchitectural geometryen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalComputers & Graphicsen
dc.eprint.versionPost-printen
dc.contributor.institutionVienna University of Technology, 1040 Vienna, Austriaen
dc.contributor.institutionEvolute GmbH, 1040 Vienna, Austriaen
dc.contributor.institutionGraz University of Technology, 8010 Graz, Austriaen
kaust.authorPottmann, Helmuten
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