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Article

Geometry of multi-layer freeform structures for architecture

Authors:

Helmut Pottmann,

Johannes Wallner,

Alexander Bobenko,

Wenping WangAuthors Info & Claims

SIGGRAPH '07: ACM SIGGRAPH 2007 papers

Pages 65 - es

https://doi.org/10.1145/1275808.1276458

Published: 29 July 2007 Publication History

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.

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Cited By

Mesnil RGobin TDemont LMargerit PDucoulombier NDouthe CCaron J(2023)Flexible digital manufacturing of timber construction: the design and fabrication of a free-form nexoradeConstruction Robotics10.1007/s41693-023-00105-77:2(193-212)Online publication date: 13-Jun-2023
https://doi.org/10.1007/s41693-023-00105-7
Glath JGobin TMesnil RMimram MBaverel O(2022)Thinking and Designing Reversible Structures with Non-sequential AssembliesTowards Radical Regeneration10.1007/978-3-031-13249-0_21(249-259)Online publication date: 18-Sep-2022
https://doi.org/10.1007/978-3-031-13249-0_21
Lee CShin SIssa R(2020)Multi-Objective Optimization of a Free-Form Surface Based on Generative DesignsProceedings of the 18th International Conference on Computing in Civil and Building Engineering10.1007/978-3-030-51295-8_88(1252-1261)Online publication date: 14-Jul-2020
https://doi.org/10.1007/978-3-030-51295-8_88
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Index Terms

Geometry of multi-layer freeform structures for architecture
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
      1. Parametric curve and surface models
      2. Volumetric models
2. Theory of computation
  1. Randomness, geometry and discrete structures

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Published In

cover image ACM Conferences

SIGGRAPH '07: ACM SIGGRAPH 2007 papers

August 2007

1019 pages

ISBN:9781450378369

DOI:10.1145/1275808

Conference Chair:
Marc Levoy

Copyright © 2007 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 29 July 2007

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SIGGRAPH07: Special Interest Group on Computer Graphics and Interactive Techniques Conference

August 5 - 9, 2007

California, San Diego

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SIGGRAPH '07 Paper Acceptance Rate 108 of 455 submissions, 24%;

Overall Acceptance Rate 1,822 of 8,601 submissions, 21%

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Cited By

Mesnil RGobin TDemont LMargerit PDucoulombier NDouthe CCaron J(2023)Flexible digital manufacturing of timber construction: the design and fabrication of a free-form nexoradeConstruction Robotics10.1007/s41693-023-00105-77:2(193-212)Online publication date: 13-Jun-2023
https://doi.org/10.1007/s41693-023-00105-7
Glath JGobin TMesnil RMimram MBaverel O(2022)Thinking and Designing Reversible Structures with Non-sequential AssembliesTowards Radical Regeneration10.1007/978-3-031-13249-0_21(249-259)Online publication date: 18-Sep-2022
https://doi.org/10.1007/978-3-031-13249-0_21
Lee CShin SIssa R(2020)Multi-Objective Optimization of a Free-Form Surface Based on Generative DesignsProceedings of the 18th International Conference on Computing in Civil and Building Engineering10.1007/978-3-030-51295-8_88(1252-1261)Online publication date: 14-Jul-2020
https://doi.org/10.1007/978-3-030-51295-8_88
Bilal MOyedele LAkinade ODelgado MAkanbi LAjayi AYounis M(2019)Design optimisation using convex programming: Towards waste-efficient building designsJournal of Building Engineering10.1016/j.jobe.2019.01.022Online publication date: Jan-2019
https://doi.org/10.1016/j.jobe.2019.01.022
Enrique LCepaitis POrdoñez DPiles C(2016)CASTonCAST: Architectural freeform shapes from precast stackable componentsVLC arquitectura. Research Journal10.4995/vlc.2016.42913:1(85)Online publication date: 28-Apr-2016
https://doi.org/10.4995/vlc.2016.4291
Xu KKim VHuang QMitra NKalogerakis EMitra N(2016)Data-driven shape analysis and processingSIGGRAPH ASIA 2016 Courses10.1145/2988458.2988473(1-38)Online publication date: 28-Nov-2016
https://dl.acm.org/doi/10.1145/2988458.2988473
Sun XJiang CWallner JPottmann H(2016)Vertex Normals and Face Curvatures of Triangle MeshesAdvances in Discrete Differential Geometry10.1007/978-3-662-50447-5_8(267-286)Online publication date: 13-Aug-2016
https://doi.org/10.1007/978-3-662-50447-5_8
Poranne RChen RGotsman C(2015)On Linear Spaces of Polyhedral MeshesIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2014.238820521:5(652-662)Online publication date: 1-May-2015
https://doi.org/10.1109/TVCG.2014.2388205
Deuss MDeleuran ABouaziz SDeng BPiker DPauly M(2015)ShapeOp—A Robust and Extensible Geometric Modelling ParadigmModelling Behaviour10.1007/978-3-319-24208-8_42(505-515)Online publication date: 13-Nov-2015
https://doi.org/10.1007/978-3-319-24208-8_42
Jiang CWang JWallner JPottmann HLai YMartin R(2014)Freeform honeycomb structuresProceedings of the Symposium on Geometry Processing10.1111/cgf.12444(185-194)Online publication date: 9-Jul-2014
https://dl.acm.org/doi/10.1111/cgf.12444
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