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Article: Geometry of multi-layer freeform structures for architecture
Title | Geometry of multi-layer freeform structures for architecture |
---|---|
Authors | |
Keywords | Curvatures Discrete Differential Geometry Edge Offset Hexagonal Mesh Koebe Polyhedron Multi-Layer Construction Offset Mesh Parallel Mesh Support Structure Surfaces In Architecture |
Issue Date | 2007 |
Citation | Acm Transactions On Graphics, 2007, v. 26 n. 3 How to Cite? |
Abstract | The geometric challenges in the architectural design of freeform shapes come mainly from the physical realization of beams and nodes. We approach them via the concept of parallel meshes, and present methods of computation and optimization. We discuss planar faces, beams of controlled height, node geometry, and multilayer constructions. Beams of constant height are achieved with the new type of edge offset meshes. Mesh parallelism is also the main ingredient in a novel discrete theory of curvatures. These methods are applied to the construction of quadrilateral, pentagonal and hexagonal meshes, discrete minimal surfaces, discrete constant mean curvature surfaces, and their geometric transforms. We show how to design geometrically optimal shapes, and how to find a meaningful meshing and beam layout for existing shapes. © 2007 ACM. |
Persistent Identifier | http://hdl.handle.net/10722/152359 |
ISSN | 2023 Impact Factor: 7.8 2023 SCImago Journal Rankings: 7.766 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Pottmann, H | en_US |
dc.contributor.author | Liu, Y | en_US |
dc.contributor.author | Wallner, J | en_US |
dc.contributor.author | Bobenko, A | en_US |
dc.contributor.author | Wang, W | en_US |
dc.date.accessioned | 2012-06-26T06:37:36Z | - |
dc.date.available | 2012-06-26T06:37:36Z | - |
dc.date.issued | 2007 | en_US |
dc.identifier.citation | Acm Transactions On Graphics, 2007, v. 26 n. 3 | en_US |
dc.identifier.issn | 0730-0301 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/152359 | - |
dc.description.abstract | The geometric challenges in the architectural design of freeform shapes come mainly from the physical realization of beams and nodes. We approach them via the concept of parallel meshes, and present methods of computation and optimization. We discuss planar faces, beams of controlled height, node geometry, and multilayer constructions. Beams of constant height are achieved with the new type of edge offset meshes. Mesh parallelism is also the main ingredient in a novel discrete theory of curvatures. These methods are applied to the construction of quadrilateral, pentagonal and hexagonal meshes, discrete minimal surfaces, discrete constant mean curvature surfaces, and their geometric transforms. We show how to design geometrically optimal shapes, and how to find a meaningful meshing and beam layout for existing shapes. © 2007 ACM. | en_US |
dc.language | eng | en_US |
dc.relation.ispartof | ACM Transactions on Graphics | en_US |
dc.rights | ACM Transactions on Graphics. Copyright © Association for Computing Machinery, Inc. | - |
dc.subject | Curvatures | en_US |
dc.subject | Discrete Differential Geometry | en_US |
dc.subject | Edge Offset | en_US |
dc.subject | Hexagonal Mesh | en_US |
dc.subject | Koebe Polyhedron | en_US |
dc.subject | Multi-Layer Construction | en_US |
dc.subject | Offset Mesh | en_US |
dc.subject | Parallel Mesh | en_US |
dc.subject | Support Structure | en_US |
dc.subject | Surfaces In Architecture | en_US |
dc.title | Geometry of multi-layer freeform structures for architecture | en_US |
dc.type | Article | en_US |
dc.identifier.email | Wang, W:wenping@cs.hku.hk | en_US |
dc.identifier.authority | Wang, W=rp00186 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1145/1276377.1276458 | en_US |
dc.identifier.scopus | eid_2-s2.0-34547673005 | en_US |
dc.identifier.hkuros | 141110 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-34547673005&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 26 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.isi | WOS:000248914000068 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Pottmann, H=7003351050 | en_US |
dc.identifier.scopusauthorid | Liu, Y=27172089200 | en_US |
dc.identifier.scopusauthorid | Wallner, J=7004379547 | en_US |
dc.identifier.scopusauthorid | Bobenko, A=6701911740 | en_US |
dc.identifier.scopusauthorid | Wang, W=35147101600 | en_US |
dc.identifier.issnl | 0730-0301 | - |