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2008 Fiscal Year Final Research Report

Theory of Optimal Smoothing Splines and Program Library

Research Project

  • PDF
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(Renkei-kenkyūsha) FUJIOKA Hiroyuki  福岡工業大学, 情報工学部, 助教 (10349798)
Project Period (FY) 2007 – 2008
Keywords最適平滑化スプライン / 動的スプライン
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.

  • Research Products

    (14 results)

All 2009 2008 2007

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (9 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

    • 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

    • 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

    • 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

    • 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

    • 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
    • Year and Date
      20090708-10
  • [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
    • Year and Date
      20090201-13
  • [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
    • Year and Date
      20081114-15
  • [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
    • Year and Date
      20081012-15
  • [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)
    • Year and Date
      20080211-13
  • [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
    • Year and Date
      20071212-14
  • [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
    • Year and Date
      20071029-1102
  • [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
    • Year and Date
      20070711-13
  • [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
    • Year and Date
      20070711-13

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Published: 2010-06-10   Modified: 2016-04-21  

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