Design of self-supporting surfaces

Handle URI:
http://hdl.handle.net/10754/575563
Title:
Design of self-supporting surfaces
Authors:
Vouga, Etienne; Höbinger, Mathias; Wallner, Johannes; Pottmann, Helmut ( 0000-0002-3195-9316 )
Abstract:
Self-supporting masonry is one of the most ancient and elegant techniques for building curved shapes. Because of the very geometric nature of their failure, analyzing and modeling such strutures is more a geometry processing problem than one of classical continuum mechanics. This paper uses the thrust network method of analysis and presents an iterative nonlinear optimization algorithm for efficiently approximating freeform shapes by self-supporting ones. The rich geometry of thrust networks leads us to close connections between diverse topics in discrete differential geometry, such as a finite-element discretization of the Airy stress potential, perfect graph Laplacians, and computing admissible loads via curvatures of polyhedral surfaces. This geometric viewpoint allows us, in particular, to remesh self-supporting shapes by self-supporting quad meshes with planar faces, and leads to another application of the theory: steel/glass constructions with low moments in nodes. © 2012 ACM 0730-0301/2012/08-ART87.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program; Visual Computing Center (VCC)
Publisher:
Association for Computing Machinery (ACM)
Journal:
ACM Transactions on Graphics
Issue Date:
1-Jul-2012
DOI:
10.1145/2185520.2185583
Type:
Article
ISSN:
07300301
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Visual Computing Center (VCC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorVouga, Etienneen
dc.contributor.authorHöbinger, Mathiasen
dc.contributor.authorWallner, Johannesen
dc.contributor.authorPottmann, Helmuten
dc.date.accessioned2015-08-24T08:32:57Zen
dc.date.available2015-08-24T08:32:57Zen
dc.date.issued2012-07-01en
dc.identifier.issn07300301en
dc.identifier.doi10.1145/2185520.2185583en
dc.identifier.urihttp://hdl.handle.net/10754/575563en
dc.description.abstractSelf-supporting masonry is one of the most ancient and elegant techniques for building curved shapes. Because of the very geometric nature of their failure, analyzing and modeling such strutures is more a geometry processing problem than one of classical continuum mechanics. This paper uses the thrust network method of analysis and presents an iterative nonlinear optimization algorithm for efficiently approximating freeform shapes by self-supporting ones. The rich geometry of thrust networks leads us to close connections between diverse topics in discrete differential geometry, such as a finite-element discretization of the Airy stress potential, perfect graph Laplacians, and computing admissible loads via curvatures of polyhedral surfaces. This geometric viewpoint allows us, in particular, to remesh self-supporting shapes by self-supporting quad meshes with planar faces, and leads to another application of the theory: steel/glass constructions with low moments in nodes. © 2012 ACM 0730-0301/2012/08-ART87.en
dc.publisherAssociation for Computing Machinery (ACM)en
dc.subjectArchitectural geometryen
dc.subjectDiscrete differential geometryen
dc.subjectDiscrete Laplaciansen
dc.subjectIsotropic geometryen
dc.subjectMean curvatureen
dc.subjectReciprocal force diagramsen
dc.subjectSelf-supporting masonryen
dc.subjectThrust networksen
dc.titleDesign of self-supporting surfacesen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.identifier.journalACM Transactions on Graphicsen
dc.contributor.institutionEvolute/TU Wien, Austriaen
dc.contributor.institutionTU Graz/TU Wien, Austriaen
kaust.authorPottmann, Helmuten
kaust.authorVouga, Etienneen
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