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Theory of Optimal Smoothing Splines and Program Library

Research Project

Project/Area Number 19560455
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionTokyo Denki University

Principal Investigator

KANO Hiroyuki  Tokyo Denki University, 理工学部, 教授 (00246654)

Co-Investigator(Kenkyū-buntansha) 藤岡 寛之  東京電機大学, 理工学部, 講師 (10349798)
Co-Investigator(Renkei-kenkyūsha) FUJIOKA Hiroyuki  福岡工業大学, 情報工学部, 助教 (10349798)
Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords最適平滑化スプライン / 動的スプライン / 最適スプライン / 形状モデリング / 2次計画問題 / 極値探索 / 草書体文字 / 書字学習 / 制御理論 / 書字運動学習
Research Abstract

最適スプラインの問題について, 解の存在や解の特性解析など基礎理論を重視しつつ, これまでの理論の発展, 一般化を行い, さらに理論の応用を行った.理論面では制約付スプライン, 多変数スプライン, また多階層平滑化スプラインの最適理論およびアルゴリズムを導びき, 様々な数値例によってその有効性を検証した.また応用面では柔軟物体の運動変形モデリングや繰り返し書字学習システムの開発を行った.

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (32 results)

All 2009 2008 2007 Other

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Presentation (20 results) Remarks (2 results)

  • [Journal Article] Periodic Smoothing Spline Surface and Its Application to Dynamic Contour Modeling of Wet Material Objects2009

    • Author(s)
      H. Fujioka and H. Kano
    • Journal Title

      IEEE Transactions on Systems, Man, and Cybernetics-part A Vol.39

      Pages: 251-261

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Periodic Smoothing Spline Surface and Its Application to Dynamic Contour Modeling of Wet Material Objects2009

    • Author(s)
      H. Fujioka, H. Kano
    • Journal Title

      IEEE Transactions on Systems, Man, and Cybernetics-part A 39

      Pages: 251-261

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Extrema Detection of Bivariate Spline Functions2008

    • Author(s)
      H. Kano, H. Fujioka and C. F. Martin
    • Journal Title

      Applied Mathemarics and Computation Vol.200

      Pages: 58-69

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Discrete-Time Control Systems Approach for Optimal Smoothing Splines, Trans2008

    • Author(s)
      H. Kano and H. Fujioka
    • Journal Title

      Institute of Systems, Control and Information Vol. 21, No.2

      Pages: 60-68

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Periodic Smoothing Spline2008

    • Author(s)
      H. Kano, M. Egerstedt, H. Fujioka, S. Takahashi and C.F. Martin
    • Journal Title

      Automatica Vol. 44, No.1

      Pages: 185-192

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Extrema Detection of Bivariate Spline Functions2008

    • Author(s)
      H. Kano, H. Fujioka, C. F. Martin
    • Journal Title

      Applied Mathemarics and Computation 200

      Pages: 58-69

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Periodic Smoothing Splines2008

    • Author(s)
      H. Kano, M. Egerstedt, H. Fujioka, S. Takahashi, C.F. Martin
    • Journal Title

      Automatica 44

      Pages: 185-192

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Discrete-Time Control Systems Approach for Optimal Smoothing Splines2008

    • Author(s)
      H. Kano, H. Fujioka
    • Journal Title

      Transactions of The Institute of Systems, Control and Information Engineers 21

      Pages: 60-68

    • NAID

      10022000203

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Character Modeling and Synthesis from Human Handwriting Motions with Esthetic Evaluation2007

    • Author(s)
      H. Fujioka and H. Kano
    • Journal Title

      International Journal of Assistive Robotics and Mechatronics Vol.8, No.4

      Pages: 37-46

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Character Modeling and Synthesis from Human Handwriting Motions with Esthetic Evaluation2007

    • Author(s)
      H. Fujioka, H.Kano
    • Journal Title

      International Journal of Assistive Robotics and Mechatronics 8

      Pages: 37-46

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] Recursive Construction of Optimal Smoothing Splines Generated by Linear Control Systems2009

    • Author(s)
      H. Fujioka and H. Kano
    • Organizer
      2009 IEEE International Symposium on Intelligent Control (ISIC'09),to be presented
    • Place of Presentation
      Saint Petersburg, Russia
    • Related Report
      2008 Final Research Report
  • [Presentation] Constrained Smoothing and Interpolating Spline Surfaces using Normalized Uniform B-Splines2009

    • Author(s)
      H. Fujioka and H. Kano
    • Organizer
      Proc. of the International Conference on Industrial Technology IEEE-ICIT 2009, pp.41-46
    • Place of Presentation
      Gippsland, Australia
    • Related Report
      2008 Final Research Report
  • [Presentation] Constrained Smoothing and Interpolating Spline Surfaces using Normalized Uniform B-Splines2009

    • Author(s)
      H. Fujioka, H. Kano
    • Organizer
      International Conference on Industrial Technology IEEE-ICIT 2009
    • Place of Presentation
      Australia
    • Related Report
      2008 Annual Research Report
  • [Presentation] ペンクブレットを用いた手書き文字人力による繰り返し書字学習2009

    • Author(s)
      大岡裕志, 藤岡寛之, 狩野弘之
    • Organizer
      第41回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      札幌
    • Related Report
      2008 Annual Research Report
  • [Presentation] 制御論的アプローチによる平滑化スプラインの設計と数値解析への応用2009

    • Author(s)
      藤嶋祐, 狩野弘之, 藤岡寛之
    • Organizer
      第41回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      札幌
    • Related Report
      2008 Annual Research Report
  • [Presentation] Recursive Construction of Optimal Smoothing Splines2008

    • Author(s)
      H. Fujioka and H. Kano
    • Organizer
      Proc. of the 40th ISCIE International Symposium on Stochastic Systems Theory and Its Application, pp.270-275
    • Place of Presentation
      Kyoto
    • Related Report
      2008 Final Research Report
  • [Presentation] Iterative Human Calligraphic Learning by Static and Dynamic Model Writings2008

    • Author(s)
      H. Fujioka and H. Kano
    • Organizer
      Proc. of the 2008 IEEE International Conference on Systems, Man, and Cybernetics (SMC 2008), pp.379-384
    • Place of Presentation
      Singapore
    • Related Report
      2008 Final Research Report
  • [Presentation] Constrained Smoothing Splines with Application to Trajectory Planning2008

    • Author(s)
      H. Kano and H. Fujioka
    • Organizer
      Proc. of the 27th IASTED International Conference on Modeling, Identification and Control
    • Place of Presentation
      Innsbruck, Austria(CD-ROM)
    • Related Report
      2008 Final Research Report
  • [Presentation] Constrained Smoothing Spline Surfaces Using B-Splines2008

    • Author(s)
      H. Fujioka, H. Kano
    • Organizer
      第52回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都
    • Related Report
      2008 Annual Research Report
  • [Presentation] Iterative Human Calligraphic Learning by Static and Dynamic Model Writings2008

    • Author(s)
      H. Fujioka, H. Kano
    • Organizer
      2008 IEEE International Conference on Systems, Man, and Cybernetics
    • Place of Presentation
      Singapore
    • Related Report
      2008 Annual Research Report
  • [Presentation] Recursive Construction of Optimal Smoothing Splines2008

    • Author(s)
      H. Fujioka, H. Kano
    • Organizer
      40th ISCIE Int. Symp. on Stochastic Systems Theory and Its Application
    • Place of Presentation
      Kyoto
    • Related Report
      2008 Annual Research Report
  • [Presentation] Constrained Smoothing Splines with Applications to Trajectory Planning2008

    • Author(s)
      H. Kano, H. Fujioka
    • Organizer
      27th IASTED International Conference on Modeling, Identification and Control
    • Place of Presentation
      Innsbruck, Austria
    • Related Report
      2007 Annual Research Report
  • [Presentation] Optimal Smoothing and Interpolating Splines with Constraints2007

    • Author(s)
      H. Kano, H. Fujioka and C. F. Martin
    • Organizer
      Proc. Of the 46th IEEE Conference on Decision and Control, pp.3011-3016
    • Place of Presentation
      New Orleans, LA, USA
    • Related Report
      2008 Final Research Report
  • [Presentation] Contour and Shape Modeling of Wet Material Objects using Periodic and Closed Spline Surfaces2007

    • Author(s)
      H. Fujioka and H. Kano
    • Organizer
      Workshop and Tutorial CD of the Workshop 'Modeling, Identification, and Control of Deformable Soft Objects' in 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp.2-7
    • Place of Presentation
      San Diego, CA, USA
    • Related Report
      2008 Final Research Report
  • [Presentation] Constructing Character Font Models from Measured Human Handwriting Motion2007

    • Author(s)
      H. Fujioka and H. Kano
    • Organizer
      Proc. of the 2007 American Control Conference, pp. 1467-1472
    • Place of Presentation
      New York City, USA
    • Related Report
      2008 Final Research Report
  • [Presentation] Extrema Detection of Bivariate Spline Functions2007

    • Author(s)
      H. Kano, H. Fujioka and C.F. Martin
    • Organizer
      Proc. of the 2007 American Control Conference, pp.4351-4356
    • Place of Presentation
      New York City, USA
    • Related Report
      2008 Final Research Report
  • [Presentation] Extrema Detection of Bivariate Spline Functions2007

    • Author(s)
      H. Kano, H. Fujioka, C. F. Martin
    • Organizer
      2007 American Control Conference
    • Place of Presentation
      New York City, USA
    • Related Report
      2007 Annual Research Report
  • [Presentation] Constructing Character Font Models from Measured Human Handwriting Motion2007

    • Author(s)
      H. Fujioka, H. Kano
    • Organizer
      2007 American Control Conference
    • Place of Presentation
      New York City, USA
    • Related Report
      2007 Annual Research Report
  • [Presentation] Contour and Shape Modeling of Wet Material Objects using Periodic and Closed Spline Surfaces2007

    • Author(s)
      H. Fujioka, H. Kano
    • Organizer
      2007 IEEE/RSJ IROS Workshop on "Modeling, Identification, and Control of Deformable Soft Objects"
    • Place of Presentation
      San Diego, USA
    • Related Report
      2007 Annual Research Report
  • [Presentation] Optimal Smoothing and Interpolating Splines with Constraints2007

    • Author(s)
      H. Kano, H. Fujioka, C. F. Martin
    • Organizer
      46th IEEE Conference on Decision and Control
    • Place of Presentation
      New Orleans, USA
    • Related Report
      2007 Annual Research Report
  • [Remarks]

    • URL

      http://www.kanolab.j.dendai.ac.jp

    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

      http://www.kanolab.j.dendai.ac.jp

    • Related Report
      2007 Annual Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

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