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Design of Pop-Up Cards Based on Weighted Straight Skeletons

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1 Author(s)
Sugihara, K. ; Grad. Sch. of Adv. Math. Sci., Meiji Univ., Tokyo, Japan

We investigated the use of weighted straight skeletons in the computer-aided creation of pop-up cards. A pop-up card is a sheet of paper that can be folded to a flat plane but, when opened, produces a meaningful three-dimensional structure. Weighted straight skeletons are a special type of Voronoi diagrams, and they are closely related to the foldability of a sheet of paper along specified lines. We characterize the weights that make a paper foldable and apply them to an interactive system for the design of pop-up cards.

Published in:

Voronoi Diagrams in Science and Engineering (ISVD), 2013 10th International Symposium on

Date of Conference:

8-10 July 2013