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Paper Abstract and Keywords
Presentation 2020-03-13 14:30
A modeling method of curved folding considering ruling intersection
Kaoru Ohashi, Yuki Endo, Yoshihiro Kanamori, Jun Mitani (Tsukuba Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) Curved folding is a way of folding a sheet of paper along a curved crease. By using curved folding,one can make beautiful shapes which have curves and curved surfaces. A shape created by curved folding is composed by straight lines called ruling. Because this ruling has an important property that they do not intersect on a sheet of paper, existing system to design curved folding requires users to avoid this intersection manually. In this paper, we introduce a method to avoid intersection of rulings automatically. We define an objective function that outputs degree of intersection and a penalty function which keeps the shape from large deformation. By solving these functions as an optimization problem, we implemented a system which helps us to design curved folding more quickly and easily.
Keyword (in Japanese) (See Japanese page) 
(in English) Curved folding / Developable surface / Ruling / Optimization problem / / / /  
Reference Info. ITE Tech. Rep., vol. 44, pp. 61-64, March 2020.
Paper #  
Date of Issue 2020-03-06 (AIT) 
ISSN Print edition: ISSN 1342-6893    Online edition: ISSN 2424-1970
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Conference Information
Committee AIT IIEEJ AS CG-ARTS  
Conference Date 2020-03-13 - 2020-03-13 
Place (in Japanese) (See Japanese page) 
Place (in English) Tokyo University of Technology 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Expressive Japan 2020 
Paper Information
Registration To AS 
Conference Code 2020-03-AIT-IIEEJ-AS-ARTS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A modeling method of curved folding considering ruling intersection 
Sub Title (in English)  
Keyword(1) Curved folding  
Keyword(2) Developable surface  
Keyword(3) Ruling  
Keyword(4) Optimization problem  
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1st Author's Name Kaoru Ohashi  
1st Author's Affiliation University of Tsukuba (Tsukuba Univ.)
2nd Author's Name Yuki Endo  
2nd Author's Affiliation University of Tsukuba (Tsukuba Univ.)
3rd Author's Name Yoshihiro Kanamori  
3rd Author's Affiliation University of Tsukuba (Tsukuba Univ.)
4th Author's Name Jun Mitani  
4th Author's Affiliation University of Tsukuba (Tsukuba Univ.)
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Speaker Author-1 
Date Time 2020-03-13 14:30:00 
Presentation Time 15 minutes 
Registration for AS 
Paper # AIT2020-65 
Volume (vol) vol.44 
Number (no) no.10 
Page pp.61-64 
#Pages
Date of Issue 2020-03-06 (AIT) 


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