期刊
ACM TRANSACTIONS ON GRAPHICS
卷 36, 期 4, 页码 -出版社
ASSOC COMPUTING MACHINERY
DOI: 10.1145/3072959.3073709
关键词
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资金
- European Union's Horizon 2020 research and innovation program [645599]
- European Research Council (ERC) [715767]
- European Research Council (ERC) [715767] Funding Source: European Research Council (ERC)
We present a computational approach for designing CurveUps, curvy shells that form from an initially flat state. They consist of small rigid tiles that are tightly held together by two pre-stretched elastic sheets attached to them. Our method allows the realization of smooth, doubly curved surfaces that can be fabricated as a flat piece. Once released, the restoring forces of the pre-stretched sheets support the object to take shape in 3D. CurveUps are structurally stable in their target configuration. The design process starts with a target surface. Our method generates a tile layout in 2D and optimizes the distribution, shape, and attachment areas of the tiles to obtain a configuration that is fabricable and in which the curved up state closely matches the target. Our approach is based on an efficient approximate model and a local optimization strategy for an otherwise intractable nonlinear optimization problem. We demonstrate the effectiveness of our approach for a wide range of shapes, all realized as physical prototypes.
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