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A Research on Generation of Caustics via Inverse Problem Approaches

Research Project

Project/Area Number 23800011
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Media informatics/Database
Research InstitutionThe University of Tokyo

Principal Investigator

YUE Yonghao  東京大学, 大学院・新領域創成科学研究科, 助教 (30612923)

Project Period (FY) 2011 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywordsコンピュータグラフィックス / 集光模様 / 透明屈折物体 / 逆問題 / NC機械 / 連続面 / ポアソン方程式 / ファセット / ピクセルアート / グラフ理論 / 混合性整数計画問題
Research Abstract

In this research, we developed methods for automatically computing the geometry of the transparent refractive object which produces a desired caustic pattern specified by the user. First, we developed a method to represent the surface refracting the light (refraction surface) using a discrete set of facets. Then we developed another method for making the object rearrangeable, by incorporating a set of transparent refractive sticks. By rearranging the same set of sticks, we can obtain different caustic patterns (pixel art). Finally, we developed a method for computing continuous refractive surface, and enabled production of high quality caustics, including sharp and thin features.

Report

(3 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • Research Products

    (7 results)

All 2012 2011

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (5 results)

  • [Journal Article] Pixel Art with Refracted Light by Rearrangeable Sticks2012

    • Author(s)
      Yonghao Yue, Kei Iwasaki, Bing-Yu Chen, Yoshinori Dobashi, Tomoyuki Nishita
    • Journal Title

      Computer Graphics Forum

      Volume: 31(2) Issue: 2pt3 Pages: 575-582

    • DOI

      10.1111/j.1467-8659.2012.03036.x

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pixel Art with Refracted Light by Rearrangeable Sticks2012

    • Author(s)
      Y.Yue, K.Iwasaki, B.-Y.Chen, Y.Dobashi, T.Nishita
    • Journal Title

      Computer Graphics Forum

      Volume: 31(2)(掲載確定)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Presentation] Pixel Art with Refracted Light by Rearrangeable Sticks2012

    • Author(s)
      Y. Yue, K. Iwasaki, B.-Y. Chen, Y. Dobashi, T. Nishita
    • Organizer
      Eurographics 2012
    • Place of Presentation
      イタリア・カリャリ
    • Year and Date
      2012-05-16
    • Related Report
      2012 Final Research Report
  • [Presentation] Pixel Art with Refracted Light by Rearrangeable Sticks2012

    • Author(s)
      Y.Yue, K.Iwasaki, B.-Y.Chen, Y.Dobashi, T.Nishita
    • Organizer
      Eurographics 2012
    • Place of Presentation
      イタリア・カリャリ(発表確定)
    • Year and Date
      2012-05-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] 所望の集光模様を生成するための連続面からなる透明物体の形状設計法2012

    • Author(s)
      Y.Yue,岩崎慶,陳炳宇,土橋宜典,西田友是
    • Organizer
      Visual Computing/グラフィクスとCAD合同シンポジウム2012
    • Place of Presentation
      早稲田大学国際会議場
    • Related Report
      2012 Final Research Report
  • [Presentation] 所望の集光模様を生成するための連続面からなる透明物体の形状設計法2012

    • Author(s)
      Yonghao Yue, 岩崎 慶, 陳 炳宇, 土橋 宜典, 西田 友是
    • Organizer
      Visual Computing / グラフィクスと CAD 合同シンポジウム 2012
    • Place of Presentation
      早稲田大学 国際会議場
    • Related Report
      2012 Annual Research Report
  • [Presentation] 所望の集光模様を生成する透明物体の一設計法2011

    • Author(s)
      Y.Yue,岩崎慶,陳炳宇,土橋宜典,西田友是
    • Organizer
      Visual Computing/グラフィクスとCAD合同シンポジウム2011
    • Place of Presentation
      島根・くにびきメッセ
    • Year and Date
      2011-06-25
    • Related Report
      2012 Final Research Report 2011 Annual Research Report

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Published: 2011-09-05   Modified: 2019-07-29  

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