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Efficient Visual Simulation and Design based on Logarithm Curvature and Torsion Graphs

Research Project

Project/Area Number 26330149
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field High performance computing
Research InstitutionNihon University

Principal Investigator

YOSHIDA Norimasa  日本大学, 生産工学部, 教授 (70277846)

Co-Investigator(Kenkyū-buntansha) 斎藤 隆文  東京農工大学, 工学(系)研究科(研究院), 教授 (60293007)
Research Collaborator Rushan Ziatdinov  Keimyung University
Kim Tae-wan  Seoul National University
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords形状モデリング / CAD / 曲率・捩率対数グラフ / 2次対数美的曲線 / 曲率対数グラフ / 対数美的曲線 / 曲率
Outline of Final Research Achievements

In the design of aesthetic surface, it is a common practice to use highly aesthetic curves to make aesthetic surface. This research proposes quadratic log-aesthetic curves that are curves whose logarithmic curvature graphs are quadratic, clarifies the fundamental characteristics, and confirms that the curves can be generated in real time by implementing the algorithm. This theory can immediately be used for logarithmic torsion graphs. To generate curves with curvature control, the research on curve generation by specifying curvature plot in terms of explicit Bezier curves is also conducted.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (16 results)

All 2017 2016 2015 2014 Other

All Int'l Joint Research (1 results) Journal Article (2 results) (of which Peer Reviewed: 2 results,  Acknowledgement Compliant: 2 results) Presentation (13 results) (of which Int'l Joint Research: 4 results,  Invited: 1 results)

  • [Int'l Joint Research] Seoul National University/Keimyung University(韓国)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Quadratic Log-Aesthetic Curves2016

    • Author(s)
      Norimasa Yoshida, Takafumi Saito
    • Journal Title

      Computer-Aided Design and Applications

      Volume: 14 (2) Issue: 2 Pages: 219-226

    • DOI

      10.1080/16864360.2016.1223434

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Shape Analysis of Cubic Bezier Curves - Correspondence to Four Primitive Cubics2014

    • Author(s)
      Takafumi Saito, Midori Yamada, Norimasa Yoshida
    • Journal Title

      Computer-Aided Design and Applications

      Volume: 11 (5) Issue: 1-4 Pages: 568-578

    • DOI

      10.1080/16864360.2006.10738484

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 陽的B-spline関数を用いた方向角パラメータ曲線2017

    • Author(s)
      吉田雄一,斎藤隆文,吉田典正
    • Organizer
      情報処理学会全国大会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2017-03-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] 多項式B-spline ALP曲線2017

    • Author(s)
      吉田典正,齋藤隆文
    • Organizer
      精密工学会春季大会学術講演会
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2017-03-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] Visualization of the curvature and variation energy functionals for a planar quadratic Bezier curve2016

    • Author(s)
      Rushan Ziatdinov, Norimasa Yoshida
    • Organizer
      International Conference Geometric Analysis and Control Theory
    • Place of Presentation
      Novosibirsk(ロシア)
    • Year and Date
      2016-12-08
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 位置制御と曲率制御とを両立した曲線生成技術2016

    • Author(s)
      斎藤隆文,吉田典正
    • Organizer
      画像電子学会VCワークショップ
    • Place of Presentation
      コスタビスタ沖縄(沖縄県)
    • Year and Date
      2016-10-09
    • Related Report
      2016 Annual Research Report
  • [Presentation] 曲率プロットの指定による曲線の生成と対話的制御2016

    • Author(s)
      吉田典正, 斎藤隆文
    • Organizer
      情報処理学会第163回コンピュータグラフィックスとビジュアル情報学研究発表会
    • Place of Presentation
      杉乃井ホテル(富山県)
    • Year and Date
      2016-09-05
    • Related Report
      2016 Annual Research Report
  • [Presentation] Quadratic Log-Aesthetic Curves2016

    • Author(s)
      Norimasa Yoshida, Takafumi Saito
    • Organizer
      CAD Conference
    • Place of Presentation
      Vancouver(カナダ)
    • Year and Date
      2016-06-27
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Proposal of Tangential Angle Parameterization Curves2016

    • Author(s)
      Takafumi Saito, Norimasa Yoshida
    • Organizer
      Mathematical Methods for Curves and Surfaces
    • Place of Presentation
      Tonsberg(ノルウェー)
    • Year and Date
      2016-06-23
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 方向角パラメータ曲線の提案2016

    • Author(s)
      斎藤隆文, 吉田典正
    • Organizer
      Visual Computing/グラフィクスとCAD合同シンポジウム
    • Place of Presentation
      早稲田大学
    • Year and Date
      2016-06-18
    • Related Report
      2016 Annual Research Report
  • [Presentation] Curves with Quadratic Logarithmic Curvature Graphs2015

    • Author(s)
      Norimasa Yoshida, Takafumi Saito
    • Organizer
      SIAM Conference on Geometric and Physical Modeling
    • Place of Presentation
      Salt Lake City (U.S.A.)
    • Year and Date
      2015-10-12
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Log-aesthetic curveに関する研究と今後の展望2015

    • Author(s)
      吉田典正
    • Organizer
      精密工学会秋季大会学術講演会
    • Place of Presentation
      東北大学 (宮城県仙台市)
    • Year and Date
      2015-09-04
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 3 次曲線の曲率特徴解析2015

    • Author(s)
      山田 翠, 斎藤 隆文,吉田 典正
    • Organizer
      画像電子学会 第 272 回研究会
    • Place of Presentation
      和歌山大学
    • Year and Date
      2015-02-27 – 2015-02-28
    • Related Report
      2014 Research-status Report
  • [Presentation] 曲率対数グラフが 2 次曲線となる曲線2015

    • Author(s)
      吉田 典正, 斎藤 隆文
    • Organizer
      画像電子学会 第 272 回研究会
    • Place of Presentation
      和歌山大学
    • Year and Date
      2015-02-27 – 2015-02-28
    • Related Report
      2014 Research-status Report
  • [Presentation] Classification of Rational Cubic Bézier Curves2014

    • Author(s)
      Takafumi Saito and Norimasa Yoshida
    • Organizer
      8th International Conference on Curves and Surfaces,
    • Place of Presentation
      Paris, France
    • Year and Date
      2014-06-12 – 2014-06-18
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2022-02-16  

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