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Study on shape design methods to utilize origami technology for industry

Research Project

Project/Area Number 15K05754
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Design engineering/Machine functional elements/Tribology
Research InstitutionUniversity of Tsukuba

Principal Investigator

Jun Mitani  筑波大学, システム情報系, 教授 (40392138)

Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords折り紙 / 形状設計 / 折りたたみ構造 / 平坦折り / 折り紙設計 / 形状モデリング / 可展面
Outline of Final Research Achievements

We proposed methods for making intended shapes by folding a flat sheet material and making the shapes flat-foldable. We implemented the methods on a computer for evaluation. In order to make an three-dimensional shape flat-foldable, we approximated the given three-dimensional shape with a set of convex solids, and then we converted each solid into a flat-foldable structure. To confirm the validity of our approach, we constructed the obtained shape with thick material by considering the effect of thickness on the geometry. We also added the hinge mechanisms on the constructed model. In addition, we parallelized multiple research and development on the practical application of origami such as deformation of sheet material with slits, and development of an interactive design system.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (29 results)

All 2018 2017 2016 2015

All Journal Article (8 results) (of which Peer Reviewed: 8 results,  Open Access: 1 results) Presentation (19 results) (of which Int'l Joint Research: 6 results,  Invited: 3 results) Book (2 results)

  • [Journal Article] Approximating 3D Surfaces using Generalized Waterbomb Tessellations2018

    • Author(s)
      Yan Zhao, Yuki Endo, Yoshihiro Kanamori, Jun Mitani
    • Journal Title

      Journal of Computational Design and Engineering

      Volume: - Issue: 4 Pages: 442-448

    • DOI

      10.1016/j.jcde.2018.01.002

    • NAID

      120007128311

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Design and Motion Analysis of Axisymmetric 3D Origami with Generic Six-crease Bases2018

    • Author(s)
      Yan Zhao, Yoshihiro Kanamori, Jun Mitani
    • Journal Title

      Computer Aided Geometric Design

      Volume: 59 Pages: 86-97

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geometry of Axisymmetric 3D Origami Consisting of Triangular Facets2017

    • Author(s)
      Yan Zhao, Yoshihiro Kanamori, Jun Mitani
    • Journal Title

      Journal for Geometry and Graphics

      Volume: 21 Pages: 107-118

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 平坦折り紙の数理2017

    • Author(s)
      松川 剛久, 三谷 純
    • Journal Title

      日本応用数理学会論文誌

      Volume: 27 Pages: 333-353

    • NAID

      130006282080

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Enumeration of Flat-Foldable Crease Patterns in the Square/Diagonal Grid and Their Folded Shapes2017

    • Author(s)
      Yoshihisa Matsukawa, Yohei Yamamoto, Jun Mitani
    • Journal Title

      Journal for Geometry and Graphics

      Volume: 21 Pages: 1169-178

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 平織りによるドット絵の表現2017

    • Author(s)
      山本 陽平,三谷 純
    • Journal Title

      折り紙の科学

      Volume: 6 Pages: 12-21

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Semi-Automatic Conversion of 3D Shape into Flat-Foldable Polygonal Model2017

    • Author(s)
      Emi Miyamoto, Yuki Endo, Yoshihiro Kanamori, and Jun Mitani
    • Journal Title

      Computer Graphics Forum

      Volume: 36 Pages: 41-50

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 45°系格子パターンから作り出される平坦折り形状の列挙2015

    • Author(s)
      山本 陽平, 三谷純
    • Journal Title

      折り紙の科学

      Volume: 4 Pages: 23-33

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Presentation] 簡略化モデルによる折紙形状構築手法2017

    • Author(s)
      田中 慎一, 遠藤 結城, 金森 由博, 三谷 純
    • Organizer
      Visual Computing/グラフィクスと CAD 合同シンポジウム 2017
    • Related Report
      2017 Annual Research Report
  • [Presentation] 3次元形状を折りたたみ可能な立体へ自動変換する手法の提案2017

    • Author(s)
      宮本 惠未, 遠藤 結城, 金森 由博, 三谷 純
    • Organizer
      Visual Computing/グラフィクスと CAD 合同シンポジウム 2017
    • Related Report
      2017 Annual Research Report
  • [Presentation] 折紙のCG用幾何モデルの生成手法2016

    • Author(s)
      田中慎一, 遠藤結城, 金森由博, 三谷純
    • Organizer
      2016年度日本図学会秋季大会
    • Place of Presentation
      首都大学東京(東京都八王子市)
    • Year and Date
      2016-11-26
    • Related Report
      2016 Research-status Report
  • [Presentation] 帯状三次元座標取得装置を用いた曲線折り形状の対話的な生成インタフェースの開発2016

    • Author(s)
      上村紳一郎・遠藤結城・金森由博・三谷純
    • Organizer
      2016年度日本図学会秋季大会
    • Place of Presentation
      首都大学東京(東京都八王子市)
    • Year and Date
      2016-11-26
    • Related Report
      2016 Research-status Report
  • [Presentation] Computational Origami Design2016

    • Author(s)
      Jun Mitani
    • Organizer
      Pacific Graphics 2016
    • Place of Presentation
      沖縄科学技術大学院大学(沖縄県国頭郡恩納村)
    • Year and Date
      2016-10-11
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometry of Axisymmetric 3D Origami Consisting of Triangle Facets2016

    • Author(s)
      Yan Zhao, Yoshihiro Kanamori, Jun Mitani
    • Organizer
      17th International Conference on Geometry and Graphics
    • Place of Presentation
      BeiJing, China
    • Year and Date
      2016-08-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Enumeration of Flat-foldable Crease Patterns in the Square/Diagonal Grid and Their Folded Shapes2016

    • Author(s)
      Yoshihisa Matsukuwa , Yohei Yamamoto, Jun Mitani
    • Organizer
      17th International Conference on Geometry and Graphics
    • Place of Presentation
      BeiJing, China
    • Year and Date
      2016-08-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Interactive Geometric Modeling for Computational Origami Art2016

    • Author(s)
      Jun Mitani
    • Organizer
      Visual Computing Symposium 2016
    • Place of Presentation
      Hangzhou, China
    • Year and Date
      2016-07-06
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 45°系格子パターンに含まれる形式的折り線図の平坦折り可能性評価手法2016

    • Author(s)
      松川剛久,金森由博,三谷純
    • Organizer
      情報処理学会 第78回全国大会
    • Place of Presentation
      慶応義塾大学, 神奈川県 横浜市
    • Year and Date
      2016-03-10
    • Related Report
      2015 Research-status Report
  • [Presentation] 境界線を入力とした可展面パッチ集合による形状設計2016

    • Author(s)
      大垣雅人,金森由博,三谷純
    • Organizer
      情報処理学会 第78回全国大会
    • Place of Presentation
      慶応義塾大学, 神奈川県 横浜市
    • Year and Date
      2016-03-10
    • Related Report
      2015 Research-status Report
  • [Presentation] 折り紙の CG 用幾何モデルの自動生成手法2016

    • Author(s)
      田中慎一,金森由博,三谷純
    • Organizer
      情報処理学会 第78回全国大会
    • Place of Presentation
      慶応義塾大学, 神奈川県 横浜市
    • Year and Date
      2016-03-10
    • Related Report
      2015 Research-status Report
  • [Presentation] Enumeration of formal crease patterns in the square/diagonal grid and verification of their flat-foldability2016

    • Author(s)
      Jun Mitani
    • Organizer
      International Conference on Mathematical Modeling and Applications 2016 'Origami-Based Modeling and Analysis'
    • Place of Presentation
      明治大学(東京都中野区)
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 工学的観点から見た近年の折り紙研究の動向2016

    • Author(s)
      三谷純
    • Organizer
      第6回 ソフトマター研究会
    • Place of Presentation
      北海道大学(北海道札幌市)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 45度系格子パターンから作りだされる平坦折り形状の折り畳み可能性について2015

    • Author(s)
      松川剛久, 三谷純
    • Organizer
      第19回折り紙の科学・数学・教育 研究集会
    • Place of Presentation
      石川県教育会館, 石川県金沢市
    • Year and Date
      2015-11-07
    • Related Report
      2015 Research-status Report
  • [Presentation] CG制作のための折り紙の形状モデリングに関する研究2015

    • Author(s)
      田中慎一, 三谷純
    • Organizer
      第19回折り紙の科学・数学・教育 研究集会
    • Place of Presentation
      石川県教育会館, 石川県金沢市
    • Year and Date
      2015-11-07
    • Related Report
      2015 Research-status Report
  • [Presentation] A Method for Designing Flat-Foldable 3D Polygonal Models2015

    • Author(s)
      Yuto Kase, Yoshihiro Kanamori, Jun Mitani
    • Organizer
      39th Mechanisms and Robotics Conference
    • Place of Presentation
      Massachusetts, Boston
    • Year and Date
      2015-08-02
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 45度系格子パターンから作り出される平坦折り形状の列挙2015

    • Author(s)
      山本 陽平, 三谷 純
    • Organizer
      第18回折り紙の科学・数学・教育 研究集会
    • Place of Presentation
      JOASホール, 東京都文京区
    • Year and Date
      2015-06-20
    • Related Report
      2015 Research-status Report
  • [Presentation] 左右対称性を考慮したランダムな折り畳み形状生成による折り紙作品の発見支援2015

    • Author(s)
      鶴田 直也, 三谷 純, 金森 由博
    • Organizer
      日本図学会春季大会
    • Place of Presentation
      北海道大学, 北海道札幌市
    • Year and Date
      2015-05-09
    • Related Report
      2015 Research-status Report
  • [Presentation] 切開辺を含み一方向に折りたたみ可能な立体形状の設計2015

    • Author(s)
      加瀬悠人, 金森由博, 三谷純
    • Organizer
      日本図学会春季大会
    • Place of Presentation
      北海道大学, 北海道札幌市
    • Year and Date
      2015-05-09
    • Related Report
      2015 Research-status Report
  • [Book] 3D Origami Art2016

    • Author(s)
      Jun Mitani
    • Total Pages
      292
    • Publisher
      A K Peters/CRC Press
    • Related Report
      2016 Research-status Report
  • [Book] 立体折り紙アート2015

    • Author(s)
      三谷純
    • Total Pages
      137
    • Publisher
      日本評論社
    • Related Report
      2015 Research-status Report

URL: 

Published: 2015-04-16   Modified: 2019-03-29  

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