Journal
ACM TRANSACTIONS ON GRAPHICS
Volume 33, Issue 4, Pages -Publisher
ASSOC COMPUTING MACHINERY
DOI: 10.1145/2601097.2601106
Keywords
Wire mesh; interactive shape modeling; Chebyshevnets; discrete differential geometry; design; global optimization
Categories
Funding
- JSPS Postdoctoral Fellowships for Research Abroad
- NSF [IIS-1319483, CMMI-1331499, IIS-1217904, IIS-1117257, CMMI-1129917, IIS-0916129]
- Israel-US BSF
- Niedersachsen-Israel (grant Spectral Methods in Geometry Processing: Theory and Applications)
- SNSF [200021_137626]
- Intel
- Walt Disney Company
- Autodesk
- Side Effects
- NVIDIA
- European Research Council under the European Unions Seventh Framework Programme (FP)/ERC Grant [257453]
- ERC Starting Grant COSYM
- European Research Council (ERC) [257453] Funding Source: European Research Council (ERC)
- Div Of Information & Intelligent Systems
- Direct For Computer & Info Scie & Enginr [1117257] Funding Source: National Science Foundation
- Swiss National Science Foundation (SNF) [200021_137626] Funding Source: Swiss National Science Foundation (SNF)
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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 facades. 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.
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