Type
ArticleKAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionVisual Computing Center (VCC)
Office of the VP
Applied Mathematics and Computational Science Program
Academic Affairs
Date
2020Online Publication Date
2020-12-01Permanent link to this record
http://hdl.handle.net/10754/665639
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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.Citation
Caigui Jiang, Florian Rist, Helmut Pottmann, and Johannes Wallner. 2020. Freeform quad-based kirigami. ACM Trans. Graph. 39, 6, Article 209 (December 2020), 11 pages. https://doi.org/10.1145/3414685.3417844Sponsors
This work was supported by the SFB-Transregio programme Discretization in geometry and dynamics,through grant I2978 of the Austrian Science Fund, and the WWTF under grant ICT15-082. Caigui Jiang and Florian Rist were supported by KAUST baseline funding.Journal
ACM Transactions on GraphicsAdditional Links
https://dx.doi.org/10.1145/3414685.3417844ae974a485f413a2113503eed53cd6c53
10.1145/3414685.3417844