research-article

Generating folding sequences from crease patterns of flat-foldable origami

Authors:

Hugo A. Akitaya,

Jun Mitani,

Yoshihiro Kanamori,

Yukio FukuiAuthors Info & Claims

SIGGRAPH '13: ACM SIGGRAPH 2013 Posters

Article No.: 20, Page 1

https://doi.org/10.1145/2503385.2503407

Published: 21 July 2013 Publication History

Get Access

Abstract

The most common form to convey origami is through origami diagrams, which are step-by-step sequences, composed of figures that represent the state of the folded paper, in combination with lines and arrows indicating the position of the folds and the movement of the paper (Figure 1b). With the development of modern techniques of origami design, the range of achievable shapes have increased drastically and the crease pattern (the pattern of creases left on the paper after folding an origami model) has gained importance as an efficient method of documenting origami [Lang 2012]. However, the disadvantage of crease patterns is that it is difficult to use them to re-create the design, since crease patterns show only where each crease must be made and not folding instructions.

Supplementary Material

AVI File (a20-akitaya.avi)

Download
8.17 MB

References

[1]

Bern, M., and Hayes, B. 1996. The complexity of flat origami. In Proceedings of the seventh annual ACM-SIAM symposium on Discrete algorithms, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, SODA '96, 175--183.

Digital Library

Google Scholar

[2]

Lang, R. J. 2012. Origami Design Secrets: Mathematical Methods for an Ancient Art. Second Edition. CRC Press.

Google Scholar

[3]

Mitani, J. 2007. Development of origami pattern editor (ORIPA) and a method for estimating a folded configuration of origami from the crease pattern. IPSJ Journal 48, 9 (sep), 3309--3317.

Google Scholar

Cited By

View all

Ablat MQattawi A(2019)Investigating the design and process parameters of folded perforated sheet metalThe International Journal of Advanced Manufacturing Technology10.1007/s00170-018-3149-5Online publication date: 4-Jan-2019
https://doi.org/10.1007/s00170-018-3149-5
Bui HJeong SChong NMason M(2017)Origami Folding Sequence Generation Using Discrete Particle Swarm OptimizationNeural Information Processing10.1007/978-3-319-70093-9_51(484-493)Online publication date: 24-Oct-2017
https://doi.org/10.1007/978-3-319-70093-9_51
Xi ZLien J(2015)Folding and unfolding origami tessellation by reusing folding path2015 IEEE International Conference on Robotics and Automation (ICRA)10.1109/ICRA.2015.7139771(4155-4160)Online publication date: May-2015
https://doi.org/10.1109/ICRA.2015.7139771

Recommendations

On mathematical folding of curved crease origami: Sliding developables and parametrizations of folds into cylinders and cones
Abstract
Motivated by the art of curved crease origami we study mathematical models for folding ideal paper along curved creases. We approach the problem of finding mathematical descriptions in terms of developable surfaces of those shapes ...
Highlights
- We compute explicit isometric deformations of developable surfaces that are guided by sliding on planes.
Crease Surfaces: From Theory to Extraction and Application to Diffusion Tensor MRI

Crease surfaces are two-dimensional manifolds along which a scalar field assumes a local maximum (ridge) or a local minimum (valley) in a constrained space. Unlike isosurfaces, they are able to capture extremal structures in the data. Creases have a ...
A Dissimilarity Measure for Comparing Origami Crease Patterns
ICPRAM 2015: Proceedings of the International Conference on Pattern Recognition Applications and Methods - Volume 1

A measure of dissimilarity (distance) is proposed for comparing origami crease patterns represented as geometric

graphs. The distance measure is determined by minimum-weight matchings calculated between the

edges as well as the vertices of the graphs ...

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

SIGGRAPH '13: ACM SIGGRAPH 2013 Posters

July 2013

115 pages

ISBN:9781450323420

DOI:10.1145/2503385

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 21 July 2013

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Qualifiers

Research-article

Conference

SIGGRAPH '13

Sponsor:

SIGGRAPH

SIGGRAPH '13: Special Interest Group on Computer Graphics and Interactive Techniques Conference

July 21 - 25, 2013

California, Anaheim

Acceptance Rates

Overall Acceptance Rate 1,822 of 8,601 submissions, 21%

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

3
Total Citations
View Citations
429
Total Downloads

Downloads (Last 12 months)26
Downloads (Last 6 weeks)5

Reflects downloads up to 18 Nov 2024

Other Metrics

View Author Metrics

Citations

Cited By

View all

Ablat MQattawi A(2019)Investigating the design and process parameters of folded perforated sheet metalThe International Journal of Advanced Manufacturing Technology10.1007/s00170-018-3149-5Online publication date: 4-Jan-2019
https://doi.org/10.1007/s00170-018-3149-5
Bui HJeong SChong NMason M(2017)Origami Folding Sequence Generation Using Discrete Particle Swarm OptimizationNeural Information Processing10.1007/978-3-319-70093-9_51(484-493)Online publication date: 24-Oct-2017
https://doi.org/10.1007/978-3-319-70093-9_51
Xi ZLien J(2015)Folding and unfolding origami tessellation by reusing folding path2015 IEEE International Conference on Robotics and Automation (ICRA)10.1109/ICRA.2015.7139771(4155-4160)Online publication date: May-2015
https://doi.org/10.1109/ICRA.2015.7139771

View Options

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Cited By

Recommendations

On mathematical folding of curved crease origami: Sliding developables and parametrizations of folds into cylinders and cones

Crease Surfaces: From Theory to Extraction and Application to Diffusion Tensor MRI

A Dissimilarity Measure for Comparing Origami Crease Patterns