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Architectural Structures from Quad Meshes with Planar Parameter Lines

delete2023-03-01
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PRE
AI
C
Cheng Wang
C
Caigui Jiang
H
Hui Wang
X
Xavier Tellier
H
Helmut Pottmann *
DOI:10.1016/j.cad.2022.103463delete
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Abstract

Abstract

En 中文
We address the computational design of architectural structures which are based on a grid of intersecting beams that are aligned with the parameter lines of a quad mesh. While previous work mainly put a planarity constraint onto the faces of the mesh, we focus on the planarity of long-range supporting beams which follow selected polylines in the underlying mesh. In addition to that, we impose further constraints including planarity of faces, right node angles and static equilibrium, and discuss in which way these may be combined. Some of the studied meshes are discrete counterparts of certain well-known surfaces in classical geometry, whose knowledge is helpful for initializing the proposed optimization algorithms.(c) 2022 Elsevier Ltd. All rights reserved.
Keywords:
Architectural geometry
Computational design and fabrication
Planar parameter lines
Planar quad meshes
Static equilibrium

Journal

C
Computer-Aided Design
IF:
3.1
Papers:
3.1K
Citations:
6.4K

Organization

K
king abdullah university of science & technology
Scholars:
1.3W
Papers: 1.3W
Citations: 32
U
universite gustave-eiffel
Scholars:
5.6K
Papers: 4.8K
Citations: 5