Abstract
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.
Original language | English (US) |
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Article number | 103463 |
Journal | CAD Computer Aided Design |
Volume | 156 |
DOIs | |
State | Published - Mar 2023 |
Bibliographical note
Publisher Copyright:© 2022 Elsevier Ltd
Keywords
- Architectural geometry
- Computational design and fabrication
- Planar parameter lines
- Planar quad meshes
- Static equilibrium
ASJC Scopus subject areas
- Computer Science Applications
- Computer Graphics and Computer-Aided Design
- Industrial and Manufacturing Engineering