The Robotics Institute

Carnegie Mellon Robotics Institute

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Abstract

We develop a symmetry-based computer analysis and synthesis platform that, given a digitized image of a real-world papercut-pattern, is able to (1) identify dihedral and frieze symmetry as well as asymmetric sub-patterns of the input; (2) generate a fold-then-cut plan that can be used to recreate the input papercutpattern; and (3) synthesize new papercut patterns by varying the motif automatically extracted from the input, or by varying the symmetry group describing the structural organization of the input papercut pattern. We formalize a papercut-pattern as a composition of multiple sub-patterns that are either reflection symmetric (with dihedral or frieze symmetry groups) or reflection asymmetric.

Notes

Associated Center(s) / Consortia: Vision and Autonomous Systems Center

Associated Lab(s) / Group(s): Computational Symmetry

Number of pages: 1

Text Reference

Yanxi Liu, James H. Hays, Ying-Qing Xu, and Heung-Yeung Shum, "Digital Papercutting," Technical Sketch, SIGGRAPH, 2005

BibTeX Reference

@incollection{Liu_2005_5581,
   author = "Yanxi Liu and James H. Hays and Ying-Qing Xu and Heung-Yeung Shum",
   title = "Digital Papercutting",
   booktitle = "Technical Sketch, SIGGRAPH",
   year = "2005",
}

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