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Rectifying Strip Patterns

delete2023-12-05
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OA
AI
B
Bolun Wang *
H
Hui Wang
E
Eike Schling
H
Helmut Pottmann
DOI:10.1145/3618378delete
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Abstract

Abstract

En 中文
Straight flat strips of inextensible material can be bent into curved strips aligned with arbitrary space curves. The large shape variety of these so-called rectifying strips makes them candidates for shape modeling, especially in applications such as architecture where simple elements are preferred for the fabrication of complex shapes. In this paper, we provide computational tools for the design of shapes from rectifying strips. They can form various patterns and fulfill constraints which are required for specific applications such as gridshells or shading systems. The methodology is based on discrete models of rectifying strips, a discrete level-set formulation and optimization-based constrained mesh design and editing. We also analyse the geometry at nodes and present remarkable quadrilateral arrangements of rectifying strips with torsion-free nodes.
Keywords:
architectural geometry
computational design
computational fabrication
gridshell
shading system
pseudo-geodesic

Journal

ACM Transactions on Graphics cover
ACM Transactions on Graphics
IF:
9.5
Papers:
4.8K
Citations:
3.6W

Organization

U
University of Hong Kong
Scholars:
4.1W
Papers: 3.9W
Citations: 10.1W
K
king abdullah university of science & technology
Scholars:
1.3W
Papers: 1.3W
Citations: 32
Cited Papers

Cited Papers

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errJiang, Caigui; Mundilova, Klara; Kist, Florian; Wallner, Johannes; Pottmann, Helmut
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Discrete Geodesic Nets for Modeling Developable Surfaces
err2018-02-28
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errRabinovich, Michael; Hoffmann, Tim; Sorkine-Hornung, Olga
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Discrete Geodesic Parallel Coordinates
err2019-11-08
err31
PREAI
errWang, Hui; Pellis, Davide; Rist, Florian; Pottmann, Helmut; Mueller, Christian
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Designing Asymptotic Geodesic Hybrid Gridshells
err2022-11-01
err11
PREAI
errSchling, Eike; Wang, Hui; Hoyer, Sebastian; Pottmann, Helmut
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Chebyshev Nets from Commuting PolyVector Fields
err2019-11-08
err37
errOAAI
errSageman-Furnas, Andrew O.; Chern, Albert; Ben-Chen, Mirela; Vaxman, Amir
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Natural Boundary Conditions for Smoothing in Geometry Processing
err2018-05-12
err31
errOAAI
errStein, Oded; Grinspun, Eitan; Wardetzky, Max; Jacobson, Alec
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Geodesic Patterns
err2010-07-26
err54
PREAI
errPottmann, Helmut; Huang, Qixing; Deng, Bailin; Schiftner, Alexander; Kilian, Martin; Guibas, Leonidas; Wallner, Johannes
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