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Computing Curved Folds

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Approximating curved folded geometry through mesh relaxation. Once the Gaussian curvature at each interior vertex equals zero (white) and all faces are planar (green), the resulting mesh can be folded from a single sheet.

This work is part of an ongoing body of research at ZHA CODE (1,2) and is based on geometric principles outlined by Helmut Pottmann et al. in (3).

(1) http://www.simaud.org/proceedings/download.php?f=SimAUD2014_Proceedings_LoRes.pdf
(2) http://www.zha-code-education.org/WHAT-we-did-summer-2012-Bangalore
(3) http://graphics.stanford.edu/~niloy/research/folding/paper_docs/folding_sig_08.pdf
Category
Computing
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