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dc.contributor.authorPottmann, Helmut
dc.contributor.authorEigensatz, Michael
dc.contributor.authorVaxman, Amir
dc.contributor.authorWallner, Johannes
dc.date.accessioned2015-05-28T13:52:46Z
dc.date.available2015-05-28T13:52:46Z
dc.date.issued2014-11-26
dc.identifier.citationArchitectural geometry 2014, 47:145 Computers & Graphics
dc.identifier.issn00978493
dc.identifier.doi10.1016/j.cag.2014.11.002
dc.identifier.urihttp://hdl.handle.net/10754/555976
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.
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S009784931400140X
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.2014.11.002
dc.subjectStatics-aware design
dc.subjectPolyhedral patterns
dc.subjectSupport structures
dc.subjectPaneling
dc.subjectFabrication-aware design
dc.subjectDiscrete differential geometry
dc.titleArchitectural geometry
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentVisual Computing Center (VCC)
dc.identifier.journalComputers & Graphics
dc.eprint.versionPost-print
dc.contributor.institutionVienna University of Technology, 1040 Vienna, Austria
dc.contributor.institutionEvolute GmbH, 1040 Vienna, Austria
dc.contributor.institutionGraz University of Technology, 8010 Graz, Austria
kaust.personPottmann, Helmut
refterms.dateFOA2016-11-26T00:00:00Z
dc.date.published-online2014-11-26
dc.date.published-print2015-04


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