AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
PDF (13.3 MB)
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Computational design of iris folding patterns

Meiji University, Nakano-ku, 164-8525, Japan.
The University of Tokyo, Bunkyo-ku, 113-0033, Japan.
University of Tsukuba, Tsukuba-city, 305-8573, Japan.
Show Author Information

Abstract

Iris folding is an art-form consisting of layered strips of paper, forming a spiral pattern behind an aperture, which can be used to make cards and gift tags. This paper describes an interactive computational tool to assist in the design and construction of original iris folding patterns. The design of iris folding patterns is formulated as the calculation of a circumscribed polygonal sequence around a seed polygon. While it is possible to compute the positions of vertices analytically for a regular polygon, it is not straightforward to do so for irregular polygons. We give a numerical method for irregular polygons, which can be applied to arbitrary convex seed polygons. The user can quickly experiment with various patterns using the system prior to constructing the art-form.

Electronic Supplementary Material

Video
41095_2016_62_MOESM1_ESM.mp4

References

[1]
Mitani, J.; Suzuki, H. Making papercraft toys from meshes using strip-based approximate unfolding. ACM Transactions on Graphics Vol. 23, No. 3, 259-263, 2004.
[2]
Li, X.-Y.; Shen, C.-H.; Huang, S.-S.; Ju, T.; Hu, S.-M. Popup: Automatic paper architectures from 3D models. ACM Transactions on Graphics Vol. 29, No. 4, Article No. 111, 2010.
[3]
Li, X.-Y.; Ju, T.; Gu, Y.; Hu, S.-M. A geometric study of v-style pop-ups: Theories and algorithms. ACM Transactions on Graphics Vol. 30, No. 4, Article No. 98, 2011.
[4]
Coahranm, M.; Fiume, E. Sketch-based design for Bargello quilts. In: Proceedings of Eurographics Workshop on Sketch-Based Interfaces and Modeling, 165-174, 2005.
[5]
Igarashi, Y.; Igarashi, T. Holly: A drawing editor for designing stencils. IEEE Computer Graphics and Applications Vol. 30, No. 4, 8-14, 2010.
[6]
Igarashi, Y.; Mitani, J. Patchy: An interactive patchwork design system. In: Proceedings of ACM SIGGRAPH 2015 Posters, Article No. 10, 2015.
[7]
Peterson, I. Pursuing pursuit curves. 2001. Available at https://www.sciencenews.org/article/pursuing-pursuit-curves.
[8]
Lorensen, W. E.; Cline, H. E. Marching cubes: A high- resolution 3D surface construction algorithm. ACM SIGGRAPH Computer Graphics Vol. 21, No. 4, 163- 169, 1987.
[9]
Cinderella. The interactive geometry software. 1998. Available at http://cinderella.de/.
Computational Visual Media
Pages 321-327
Cite this article:
Igarashi Y, Igarashi T, Mitani J. Computational design of iris folding patterns. Computational Visual Media, 2016, 2(4): 321-327. https://doi.org/10.1007/s41095-016-0062-4

714

Views

47

Downloads

7

Crossref

N/A

Web of Science

8

Scopus

0

CSCD

Altmetrics

Revised: 27 August 2016
Accepted: 23 September 2016
Published: 15 November 2016
© The Author(s) 2016

This article is published with open access at Springerlink.com

The articles published in this journal are distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Other papers from this open access journal are available free of charge from http://www.springer.com/journal/41095. To submit a manuscript, please go to https://www.editorialmanager.com/cvmj.

Return