Cell packing structures

Handle URI:
http://hdl.handle.net/10754/555977
Title:
Cell packing structures
Authors:
Pottmann, Helmut ( 0000-0002-3195-9316 ) ; Jiang, Caigui ( 0000-0002-1342-4094 ) ; Höbinger, Mathias; Wang, Jun; Bompas, Philippe; Wallner, Johannes
Abstract:
This paper is an overview of architectural structures which are either composed of polyhedral cells or closely related to them. We introduce the concept of a support structure of such a polyhedral cell packing. It is formed by planar quads and obtained by connecting corresponding vertices in two combinatorially equivalent meshes whose corresponding edges are coplanar and thus determine planar quads. Since corresponding triangle meshes only yield trivial structures, we focus on support structures associated with quad meshes or hex-dominant meshes. For the quadrilateral case, we provide a short survey of recent research which reveals beautiful relations to discrete differential geometry. Those are essential for successfully initializing numerical optimization schemes for the computation of quad-based support structures. Hex-dominant structures may be designed via Voronoi tessellations, power diagrams, sphere packings and various extensions of these concepts. Apart from the obvious application as load-bearing structures, we illustrate here a new application to shading and indirect lighting. On a higher level, our work emphasizes the interplay between geometry, optimization, statics, and manufacturing, with the overall aim of combining form, function and fabrication into novel integrated design tools.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Cell packing structures 2015, 60:70 Computer-Aided Design
Publisher:
Elsevier BV
Journal:
Computer-Aided Design
Issue Date:
3-Mar-2015
DOI:
10.1016/j.cad.2014.02.009
Type:
Article
ISSN:
00104485
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0010448514000426
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.authorJiang, Caiguien
dc.contributor.authorHöbinger, Mathiasen
dc.contributor.authorWang, Junen
dc.contributor.authorBompas, Philippeen
dc.contributor.authorWallner, Johannesen
dc.date.accessioned2015-05-28T13:56:52Zen
dc.date.available2015-05-28T13:56:52Zen
dc.date.issued2015-03-03en
dc.identifier.citationCell packing structures 2015, 60:70 Computer-Aided Designen
dc.identifier.issn00104485en
dc.identifier.doi10.1016/j.cad.2014.02.009en
dc.identifier.urihttp://hdl.handle.net/10754/555977en
dc.description.abstractThis paper is an overview of architectural structures which are either composed of polyhedral cells or closely related to them. We introduce the concept of a support structure of such a polyhedral cell packing. It is formed by planar quads and obtained by connecting corresponding vertices in two combinatorially equivalent meshes whose corresponding edges are coplanar and thus determine planar quads. Since corresponding triangle meshes only yield trivial structures, we focus on support structures associated with quad meshes or hex-dominant meshes. For the quadrilateral case, we provide a short survey of recent research which reveals beautiful relations to discrete differential geometry. Those are essential for successfully initializing numerical optimization schemes for the computation of quad-based support structures. Hex-dominant structures may be designed via Voronoi tessellations, power diagrams, sphere packings and various extensions of these concepts. Apart from the obvious application as load-bearing structures, we illustrate here a new application to shading and indirect lighting. On a higher level, our work emphasizes the interplay between geometry, optimization, statics, and manufacturing, with the overall aim of combining form, function and fabrication into novel integrated design tools.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0010448514000426en
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Computer-Aided Design. 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 Computer-Aided Design, 3 March 2014. DOI: 10.1016/j.cad.2014.02.009en
dc.subjectArchitectural geometryen
dc.subjectFabrication-aware designen
dc.subjectSpatial tilingen
dc.subjectPolyhedral packingen
dc.subjectCell packingen
dc.subjectPolyhedral meshen
dc.subjectOffset meshen
dc.subjectSphere packingen
dc.subjectTorsion-free support structureen
dc.subjectShading systemen
dc.titleCell packing structuresen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalComputer-Aided Designen
dc.eprint.versionPost-printen
dc.contributor.institutionVienna University of Technology, 1040 Wien, Austriaen
dc.contributor.institutionEvolute GmbH, Schwindgasse 40/10, 1040 Wien, Austriaen
dc.contributor.institutionArchitect, 170 rue du Temple, 75003 Paris, Franceen
dc.contributor.institutionGraz University of Technology, 8010 Graz, Austriaen
kaust.authorPottmann, Helmuten
kaust.authorWang, Junen
kaust.authorJiang, Caiguien
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