Wire mesh design

Garg, Akash; Sageman-Furnas, Andrew O.; Deng, Bailin; Yue, Yonghao; Grinspun, Eitan; Pauly, Mark; Wardetzky, Max

Abstract

We present a computational approach for designing wire meshes, i.e., freeform surfaces composed of woven wires arranged in a regular grid. To facilitate shape exploration, we map material properties of wire meshes to the geometric model of Chebyshev nets. This abstraction is exploited to build an efficient optimization scheme. While the theory of Chebyshev nets suggests a highly constrained design space, we show that allowing controlled deviations from the underlying surface provides a rich shape space for design exploration. Our algorithm balances globally coupled material constraints with aesthetic and geometric design objectives that can be specified by the user in an interactive design session. In addition to sculptural art, wire meshes represent an innovative medium for industrial applications including composite materials and architectural façades. We demonstrate the effectiveness of our approach using a variety of digital and physical prototypes with a level of shape complexity unobtainable using previous methods.

Citation

Garg, A., Sageman-Furnas, A. O., Deng, B., Yue, Y., Grinspun, E., Pauly, M., & Wardetzky, M. (2014). Wire mesh design. ACM Transactions on Graphics, 33(4), 1-12. https://doi.org/10.1145/2601097.2601106

• Journal Article Type: Article
• Publication Date: Jul 27, 2014
• Deposit Date: Apr 21, 2016
• Publicly Available Date: Apr 21, 2016
• Journal: ACM transactions on graphics
• Print ISSN: 0730-0301
• Electronic ISSN: 1557-7368
• Publisher: Association for Computing Machinery (ACM)
• Peer Reviewed: Peer Reviewed
• Volume: 33
• Issue: 4
• Article Number: ARTN 66
• Pages: 1-12
• DOI: https://doi.org/10.1145/2601097.2601106
• Keywords: Wire mesh, Interactive shape modeling, Chebyshev nets, Discrete differential geometry, Design, Global optimization
• Public URL: https://hull-repository.worktribe.com/output/436638
• Publisher URL: http://dl.acm.org/citation.cfm?doid=2601097.2601106
• Additional Information: This is the author's version of the work. It is posted here for your personal use. Not for redistribution. The definitive Version of Record was published in ACM transactions on graphics, http://dx.doi.org/10.1145/2601097.2601106.
• Contract Date: Apr 21, 2016