Voronoi grid-shell structures

Pietroni, N; Tonelli, D; Puppo, E; Froli, M; Scopigno, R; Cignoni, P

Voronoi grid-shell structures

Pietroni, N

Tonelli, D Puppo, E Froli, M Scopigno, R Cignoni, P

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Publication Type:: Journal Article
Citation:: arXiv preprint arXiv:1408.6591, 2014, abs/1408.6591
Issue Date:: 2014

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Field	Value	Language
dc.contributor.author	Pietroni, N https://orcid.org/0000-0002-8271-2102
dc.contributor.author	Tonelli, D
dc.contributor.author	Puppo, E
dc.contributor.author	Froli, M
dc.contributor.author	Scopigno, R
dc.contributor.author	Cignoni, P
dc.date.accessioned	2023-03-17T03:59:19Z
dc.date.available	2023-03-17T03:59:19Z
dc.date.issued	2014
dc.identifier.citation	arXiv preprint arXiv:1408.6591, 2014, abs/1408.6591
dc.identifier.uri	http://hdl.handle.net/10453/167444
dc.description.abstract	We introduce a framework for the generation of grid-shell structures that is based on Voronoi diagrams and allows us to design tessellations that achieve excellent static performances. We start from an analysis of stress on the input surface and we use the resulting tensor field to induce an anisotropic non-Euclidean metric over it. Then we compute a Centroidal Voronoi Tessellation under the same metric. The resulting mesh is hex-dominant and made of cells with a variable density, which depends on the amount of stress, and anisotropic shape, which depends on the direction of maximum stress. This mesh is further optimized taking into account symmetry and regularity of cells to improve aesthetics. We demonstrate that our grid-shells achieve better static performances with respect to quad-based grid shells, while offering an innovative and aesthetically pleasing look.
dc.language	en
dc.relation.ispartof	arXiv preprint arXiv:1408.6591
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Voronoi grid-shell structures
dc.type	Journal Article
utslib.citation.volume	abs/1408.6591
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Computer Science
utslib.copyright.status	closed_access	*
dc.date.updated	2023-03-17T03:59:02Z
pubs.volume	abs/1408.6591

Abstract:

We introduce a framework for the generation of grid-shell structures that is based on Voronoi diagrams and allows us to design tessellations that achieve excellent static performances. We start from an analysis of stress on the input surface and we use the resulting tensor field to induce an anisotropic non-Euclidean metric over it. Then we compute a Centroidal Voronoi Tessellation under the same metric. The resulting mesh is hex-dominant and made of cells with a variable density, which depends on the amount of stress, and anisotropic shape, which depends on the direction of maximum stress. This mesh is further optimized taking into account symmetry and regularity of cells to improve aesthetics. We demonstrate that our grid-shells achieve better static performances with respect to quad-based grid shells, while offering an innovative and aesthetically pleasing look.

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http://hdl.handle.net/10453/167444