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Freeform quad-based kirigami

delete2020-11-27
delete14
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C
Caigui Jiang *
F
Florian Rist
H
Helmut Pottmann
J
Johannes Wallner
DOI:10.1145/3414685.3417844delete
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摘要

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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对已上传原文的论文进行重点信息的提取,主要内容包括:简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

ACM Transactions on Graphics 封面图
ACM Transactions on Graphics
IF:
9.5
论文数:
4.7K
被引数:
3.6W

机构

K
king abdullah university of science & technology
学者数:
1.3W
论文数: 1.3W
被引数: 32
G
Graz University of Technology
学者数:
6.7K
论文数: 6.3K
被引数: 8.5K
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