Architectural structures from quad meshes with planar parameter lines

Wang, Cheng ORCID:, Jiang, Caigui, Wang, Hui, Tellier, Xavier and Pottmann, Helmut (2023) Architectural structures from quad meshes with planar parameter lines. Computer-Aided Design, 156. ISSN 0010-4485

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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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Computing Sciences
Depositing User: LivePure Connector
Date Deposited: 23 Jan 2024 01:40
Last Modified: 04 Mar 2024 18:26
DOI: 10.1016/j.cad.2022.103463

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