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Freeform quad-based kirigami
DOI:10.1145/3414685.3417844.png)
摘要
En 中文
Kirigami, the traditional Japanese art of paper cutting and folding generalizes origami and has initiated new research in material science as well as graphics. In this paper we use its capabilities to perform geometric modeling with corrugated surface representations possessing an isometric unfolding into a planar domain after appropriate cuts are made. We initialize our box-based kirigami structures from orthogonal networks of curves, compute a first approximation of their unfolding via mappings between meshes, and complete the process by global optimization. Besides the modeling capabilities we also study the interesting geometry of special kirigami structures from the theoretical side. This experimental paper strives to relate unfoldable checkerboard arrangements of boxes to principal meshes, to the transformation theory of discrete differential geometry, and to a version of the Gauss theorema egregium.
Keyword:
Kirigami
discrete differential geometry
quad meshes
digital fabrication
computational origami
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期刊
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9.5
论文数:
4.7K
被引数:
3.6W
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IF0
Beyond Developable: Computational Design and Fabrication with Auxetic Materials超越可开发: 使用拉胀材料进行计算设计和制造

