Architectural Structures from Quad Meshes with Planar Parameter Lines

Cheng Wang, Caigui Jiang, Hui Wang, Xavier Tellier, Helmut Pottmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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 languageEnglish (US)
Article number103463
JournalCAD Computer Aided Design
Volume156
DOIs
StatePublished - 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

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