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    Freeform quad-based kirigami

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    kirigami.pdf
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    Type
    Article
    Authors
    Jiang, Caigui cc
    Rist, Florian
    Pottmann, Helmut cc
    Wallner, Johannes
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Visual Computing Center (VCC)
    Office of the VP
    Applied Mathematics and Computational Science Program
    Academic Affairs
    Date
    2020
    Online Publication Date
    2020-12-01
    Permanent link to this record
    http://hdl.handle.net/10754/665639
    
    Metadata
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    Abstract
    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/10.1145/3414685.3417844
    Sponsors
    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.
    Publisher
    Association for Computing Machinery (ACM)
    Journal
    ACM Transactions on Graphics
    DOI
    10.1145/3414685.3417844
    Additional Links
    https://dx.doi.org/10.1145/3414685.3417844
    ae974a485f413a2113503eed53cd6c53
    10.1145/3414685.3417844
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Visual Computing Center (VCC); Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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