Deployable strip structures

Daoming Liu, Davide Pellis, Yu-Chou Chiang, Florian Rist, Johannes Wallner, Helmut Pottmann

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We introduce the new concept of C-mesh to capture kinetic structures that can be deployed from a collapsed state. Quadrilateral C-meshes enjoy rich geometry and surprising relations with differential geometry: A structure that collapses onto a flat and straight strip corresponds to a Chebyshev net of curves on a surface of constant Gaussian curvature, while structures collapsing onto a circular strip follow surfaces which enjoy the linear-Weingarten property. Interestingly, allowing more general collapses actually leads to a smaller class of shapes. Hexagonal C-meshes have more degrees of freedom, but a local analysis suggests that there is no such direct relation to smooth surfaces. Besides theory, this paper provides tools for exploring the shape space of C-meshes and for their design. We also present an application for freeform architectural skins, namely paneling with spherical panels of constant radius, which is an important fabrication-related constraint.
Original languageEnglish (US)
Pages (from-to)1-16
Number of pages16
JournalACM transactions on graphics
Volume42
Issue number4
DOIs
StatePublished - Jul 26 2023

Bibliographical note

KAUST Repository Item: Exported on 2023-07-31
Acknowledged KAUST grant number(s): BAS/1/1679-01-01
Acknowledgements: The authors wish to thank the anonymous reviewers for their helpful comments. D. Liu, Y.-C. Chiang, and F. Rist have been supported by KAUST baseline funding (grant BAS/1/1679-01-01).

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design

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