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Impossible objects robust against viewpoint motion and their applications

Research Project

Project/Area Number 18K19827
Research Category

Grant-in-Aid for Challenging Research (Exploratory)

Allocation TypeMulti-year Fund
Review Section Medium-sized Section 61:Human informatics and related fields
Research InstitutionMeiji University

Principal Investigator

Sugihara Kokichi  明治大学, 研究・知財戦略機構(中野), 研究推進員 (40144117)

Project Period (FY) 2018-06-29 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥6,240,000 (Direct Cost: ¥4,800,000、Indirect Cost: ¥1,440,000)
Fiscal Year 2020: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2019: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2018: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords不可能立体 / 立体錯視 / 錯視の安定性 / 変身立体 / 曲率の誤認 / 変身タイリング / 道路カーブ / 動的立体錯視 / 視覚の数理モデル / 曲率誤認 / 影による変身 / 物理的モーフィング / 点対称性 / 錯覚誘因の視点依存性 / 立体認識 / 視覚情報処理 / 視点移動 / 形状誤認
Outline of Final Research Achievements

We found two main factors of impossible object illusions that do not disappear even if we change our viewpoints. The first factor is that the illusion-inducing properties belong to 3D shapes instead of 2D appearances. This factor works effectively in "deformable object illusion" and "ambiguous tiling illusion." The second factor is that the object is composed of 3D structures and 2D pictures in a mixed way so that picture parts also appear to be 3D. This factor works in "height reversal illusion." For road illusion, we found that the sharpness of a curve is misperceived both if the curve accompanies the change of the road slope and if the driver does not notice this slope change. This result suggests the importance of the road sign telling that the next curve is sharper than it appears, instead of recommending to decrease the speed. We summarized our results in a form of a family tree of impossible objects, which can tell why illusion occurs for each group of impossible objects.

Academic Significance and Societal Importance of the Research Achievements

視点を動かしても起き続ける新し立体錯視の種類を見つけ、その発生メカニズムを明らかにすると同時に、その作品例を多数創作した。これらは、「見る」という日常の行為の中に不思議さが残っていることを端的に示す材料となり、全国の科学館、児童館、美術館での視覚について考える特別展などでたくさん取り上げられた。道路カーブの鋭さの誤認メカニズムの解明によって、ドライバーへの注意喚起の方法として、今までの「スピードを落とせ」に加えて、「前方のカーブは見かけより急です」という新しいタイプのメッセージの有効性を示唆することができた。

Report

(4 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (42 results)

All 2021 2020 2019 2018 Other

All Int'l Joint Research (6 results) Journal Article (11 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 11 results,  Open Access: 3 results) Presentation (20 results) (of which Int'l Joint Research: 9 results,  Invited: 8 results) Book (3 results) Remarks (2 results)

  • [Int'l Joint Research] Taiwan National University(中国)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Chiang Mai University(タイ)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] 国立台湾大学(中国)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] ハンヤン大学(韓国)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] 国立台湾大学(台湾)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Chennai University(タイ)

    • Related Report
      2018 Research-status Report
  • [Journal Article] A Framework for Creation of Anomalous Motion Pictures2021

    • Author(s)
      Sugihara Kokichi
    • Journal Title

      Art & Perception

      Volume: 9 Issue: 1 Pages: 46-65

    • DOI

      10.1163/22134913-bja10017

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Ambiguous tiling2020

    • Author(s)
      Sugihara Kokichi
    • Journal Title

      Computer Aided Geometric Design

      Volume: 79 Pages: 101851-101851

    • DOI

      10.1016/j.cagd.2020.101851

    • Related Report
      2020 Annual Research Report 2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Family tree of impossible objects created by optical illusion2020

    • Author(s)
      Sugihara Kokichi
    • Journal Title

      Bridges 2020 Conference Proceedings

      Volume: - Pages: 329-336

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Modeling of ambiguous tiling for mold casting2020

    • Author(s)
      Sugihara Kokichi
    • Journal Title

      Journal of the Society for Art and Science

      Volume: 19 Pages: 59-66

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Misperception of road curvature due to slope change2020

    • Author(s)
      Sugihara Kokichi
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: - Issue: 2 Pages: 379-389

    • DOI

      10.1007/s13160-020-00441-z

    • NAID

      210000176947

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 三方向変身立体の設計原理2020

    • Author(s)
      杉原厚吉
    • Journal Title

      図学研究

      Volume: 54 Pages: 47-49

    • NAID

      130008082958

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Existence of a Convex Polyhedron with Respect to the Constrained Vertex Norms2020

    • Author(s)
      Chaidee Supanut、Sugihara Kokichi
    • Journal Title

      Mathematics

      Volume: 8 Issue: 4 Pages: 645-645

    • DOI

      10.3390/math8040645

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] MGOS: A library for molecular geometry and its operating system2020

    • Author(s)
      Kim Deok-Soo、Ryu Joonghyun、Cho Youngsong、Lee Mokwon、Cha Jehyun、Song Chanyoung、Kim Sang Wha、Laskowski Roman A.、Sugihara Kokichi、Bhak Jong、Ryu Seong Eon
    • Journal Title

      Computer Physics Communications

      Volume: 251 Pages: 107101-107101

    • DOI

      10.1016/j.cpc.2019.107101

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] VOROPACK-D: Real-time disk packing algorithm using Voronoi diagram2020

    • Author(s)
      Ryu Joonghyun、Lee Mokwon、Kim Donguk、Kallrath Josef、Sugihara Kokichi、Kim Deok-Soo
    • Journal Title

      Applied Mathematics and Computation

      Volume: 375 Pages: 125076-125076

    • DOI

      10.1016/j.amc.2020.125076

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere2019

    • Author(s)
      Chaidee Supanut、Sugihara Kokichi
    • Journal Title

      Graphs and Combinatorics

      Volume: 35 Issue: 2 Pages: 371-385

    • DOI

      10.1007/s00373-019-02006-5

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Reflexively-fused cylinders2018

    • Author(s)
      K. Sugihara and M. Moriguchi
    • Journal Title

      Symmetry

      Volume: 10 Issue: 7 Pages: 275-275

    • DOI

      10.3390/sym10070275

    • NAID

      120006552173

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] Difficulty in representing 3D shaped by 2D images due to optical illusion2021

    • Author(s)
      Sugihara Kokichi
    • Organizer
      International Workshop on Advanced Image technology
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 立体版シュレーダー階段図形~ベスト錯覚コンテスト2020優勝作品の舞台裏2021

    • Author(s)
      杉原厚吉
    • Organizer
      第15回錯覚ワークショップ
    • Related Report
      2020 Annual Research Report
  • [Presentation] 立体錯視と視覚へのコンピュータによるアプローチ2021

    • Author(s)
      杉原厚吉
    • Organizer
      第6回視覚生理学基礎セミナー
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Ambiguous tiling2020

    • Author(s)
      Sugihara Kokichi
    • Organizer
      Geometric Modeling and Processing 2020
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Family tree of impossible objects created by optical illusion2020

    • Author(s)
      Sugihara Kokichi
    • Organizer
      Bridges 2020
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 傾斜変化を伴うカーブの曲率誤認の危険性2020

    • Author(s)
      杉原厚吉
    • Organizer
      日本応用数理学会2020年度年会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Modeling of ambiguous tiling for mold casting2020

    • Author(s)
      Sugihara Kokichi
    • Organizer
      NICOGRAPH 2020
    • Related Report
      2020 Annual Research Report
  • [Presentation] 道路カーブの曲率誤認とその対策2020

    • Author(s)
      杉原厚吉
    • Organizer
      2020年度日本図学会大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 変身タイリング「銀杏の舞う正方格子」2020

    • Author(s)
      杉原厚吉
    • Organizer
      2020年度日本図学会大会デジタルモデリングコンテスト
    • Related Report
      2020 Annual Research Report
  • [Presentation] 仕組みを知っても修正できない立体錯視の世界~子の不条理とどう付き合うか2020

    • Author(s)
      杉原厚吉
    • Organizer
      芸術科学会年会
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Computational Illusion: Various Behaviors of Impossible Objects2019

    • Author(s)
      K. Sugihara
    • Organizer
      Computational Photography 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Ambiguous Objects as a Potential Source of Magic2019

    • Author(s)
      K. Sugihara
    • Organizer
      MAGIC Linves 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Latest Developments of 3D Illusion2019

    • Author(s)
      K. Sugihara
    • Organizer
      International Display Workshop 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 立体錯視の設計原理とバリエーション2019

    • Author(s)
      杉原厚吉
    • Organizer
      日本図学会2019年度春季大会
    • Related Report
      2019 Research-status Report
  • [Presentation] 三方向変身立体の設計原理2019

    • Author(s)
      杉原厚吉
    • Organizer
      日本図学会2019年度秋季大会大会
    • Related Report
      2019 Research-status Report
  • [Presentation] 6方向変身立体2019

    • Author(s)
      杉原厚吉
    • Organizer
      日本図学会大11回デジタルモデリングコンテスト、 日本図学会2019年度秋季大会大会
    • Related Report
      2019 Research-status Report
  • [Presentation] 3方向多義立体の数理と作り方2019

    • Author(s)
      杉原厚吉
    • Organizer
      第13回錯覚ワークショップ
    • Related Report
      2018 Research-status Report
  • [Presentation] Evolution of Impossible Object2018

    • Author(s)
      Sugihara Kokichi
    • Organizer
      13th Gathering for Gardner Conference
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Evolution of Impossible Objects2018

    • Author(s)
      Sugihara Kokichi
    • Organizer
      9th International Conference on Fun with Algorithms
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Evolution of Impossible Objects2018

    • Author(s)
      Sugihara Kokichi
    • Organizer
      International Symposium on the Exploration and Application of Visual Illusions
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Book] トリックアート図鑑 錯覚! 立体ペーパークラフト2020

    • Author(s)
      杉原厚吉、グループ・コロンブス
    • Total Pages
      48
    • Publisher
      あかね書房
    • ISBN
      9784251097736
    • Related Report
      2020 Annual Research Report
  • [Book] わかっていても騙される 錯覚クイズ2018

    • Author(s)
      杉原厚吉
    • Total Pages
      253
    • Publisher
      大和書房
    • ISBN
      9784479307013
    • Related Report
      2018 Research-status Report
  • [Book] 新錯視図鑑2018

    • Author(s)
      杉原厚吉
    • Total Pages
      223
    • Publisher
      誠文堂新光社
    • Related Report
      2018 Research-status Report
  • [Remarks] Kokichi Sugihara's Home Page

    • URL

      http://www.isc.meiji.ac.jp/~kokichis/

    • Related Report
      2020 Annual Research Report 2019 Research-status Report
  • [Remarks] SUGIHARA Kokichi

    • URL

      http://www.isc.meiji.ac.jp/~kokichis/

    • Related Report
      2018 Research-status Report

URL: 

Published: 2018-07-25   Modified: 2022-08-18  

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