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Direct reconstruction of magnetic sources using a multipole model and its applications

Research Project

Project/Area Number 24560072
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Engineering fundamentals
Research InstitutionThe University of Tokyo

Principal Investigator

NARA Takaaki  東京大学, 情報理工学(系)研究科, 准教授 (80353423)

Co-Investigator(Renkei-kenkyūsha) ANDO Shigeru  東京大学, 大学院情報理工学系研究科, 教授 (70134468)
TAKEDA Tsunehiro  (株)新領域技術研究所, 代表取締役・社長 (90292771)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywords逆問題 / 磁場源推定 / 脳磁場 / RFIDタグ / 直接解法 / 荷重積分法 / MEG / RFID / 荷重積分 / 漏洩磁束探傷 / 多重極 / RFID / 磁気双極子 / ソース推定
Outline of Final Research Achievements

Inverse source problems for magnetic sources from the measurements of the magnetic field have a wide variety of applications. In this research, based on the source model with the equivalent multipoles, a method to reconstruct their locations as well as moments directly and algebraically from the measured data was derived. We applied it to the magnetoencephalography inverse problem, and showed that the adjacent, oppositely-directed dipoles were localized accurately by assuming the dipoles and quadrupoles. Also, the developed theory was applied to localization of a radio-frequency identification (RFID) tag, which could be used for location-aware systems.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (25 results)

All 2014 2013 2012

All Journal Article (6 results) (of which Peer Reviewed: 4 results,  Acknowledgement Compliant: 1 results) Presentation (19 results)

  • [Journal Article] 2-D Localization of Radio Frequency Identification tags from measurements of the weighted integrals of the magnetic flux density2014

    • Author(s)
      Akihiro Chiba and Takaaki Nara
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 50 Issue: 9 Pages: 6200808-6200808

    • DOI

      10.1109/tmag.2014.2320693

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Algebraic Reconstruction Combined with the Signal Space Separation Method for the Inverse Magnetoencephalography Problem with Dipole-Quadrupole Source2014

    • Author(s)
      Takaaki Nara, Kazuo Koiwa, Shohei Takagi, Daisuke Oyama, and Gen Uehara
    • Journal Title

      Journal of Applied Physics

      Volume: 115 Issue: 17

    • DOI

      10.1063/1.4869066

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Non-destructive inspection of ferromagnetic pipes based on the discrete Fourier coefficients of magnetic flux leakage2014

    • Author(s)
      Takaaki Nara, Motoyuki Fujieda, and Yuji Gotoh
    • Journal Title

      Journal of Applied Physics

      Volume: 115 Issue: 17

    • DOI

      10.1063/1.4863805

    • Related Report
      2013 Research-status Report
  • [Journal Article] Moore-Penrose Generalized Inverse of the Gradient Tensor in Euler's Equation for Locating a Magnetic Dipole2014

    • Author(s)
      Takaaki Nara and Wataru Ito
    • Journal Title

      Journal of Applied Physics

      Volume: 115 Issue: 17

    • DOI

      10.1063/1.4861675

    • Related Report
      2013 Research-status Report
  • [Journal Article] Algebraic reconstruction of current dipoles and quadrupoles in three-dimensional space2013

    • Author(s)
      Takaaki Nara
    • Journal Title

      Mathematical Problems in Engineering

      Volume: Volume 2013 Pages: 413980-413980

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] 正方形境界上の荷重積分センサを用いたRFIDタグの定位2012

    • Author(s)
      千葉 昭宏, 奈良 高明
    • Journal Title

      計測自動制御学会論文集

      Volume: 48

    • NAID

      10031140804

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] 円周磁気センサアレイを用いた磁気双極子の直接定位2014

    • Author(s)
      樋口 祐介,奈良 高明,安藤 繁
    • Organizer
      第31回センシングフォーラム
    • Place of Presentation
      佐賀大学 (佐賀県佐賀市)
    • Year and Date
      2014-09-25 – 2014-09-26
    • Related Report
      2014 Annual Research Report
  • [Presentation] 磁性体存在下での磁場零点に着目したビーコン探索2014

    • Author(s)
      竹田 裕史,奈良 高明,安藤 繁
    • Organizer
      第31回センシングフォーラム
    • Place of Presentation
      佐賀大学 (佐賀県佐賀市)
    • Year and Date
      2014-09-25 – 2014-09-26
    • Related Report
      2014 Annual Research Report
  • [Presentation] 直線状磁気センサアレイを用いたスマートフォンの直接定位2014

    • Author(s)
      伊藤 雅博,樋口 祐介,奈良 高明,安藤 繁
    • Organizer
      第31回センシングフォーラム
    • Place of Presentation
      佐賀大学 (佐賀県佐賀市)
    • Year and Date
      2014-09-25 – 2014-09-26
    • Related Report
      2014 Annual Research Report
  • [Presentation] A planar sensor for localization of a three-axis magnetic dipole2014

    • Author(s)
      Takaaki Nara and Yuichiro Yaguchi
    • Organizer
      SICE Annual Conference 2014
    • Place of Presentation
      Hokkaido University (Sapporo, Hokkaido)
    • Year and Date
      2014-09-09 – 2014-09-12
    • Related Report
      2014 Annual Research Report
  • [Presentation] Direct localization of a magnetic dipole based on a gradient-form partial differential equation2014

    • Author(s)
      Y.Higuchi, T.Nara, and S.Ando
    • Organizer
      SICE Annual Conference 2014
    • Place of Presentation
      Hokkaido University (Sapporo, Hokkaido)
    • Year and Date
      2014-09-09 – 2014-09-12
    • Related Report
      2014 Annual Research Report
  • [Presentation] 荷重積分による磁場多重極フィルタ2014

    • Author(s)
      奈良 高明, 衣笠 陽公,安藤 繁
    • Organizer
      日本応用数理学会2014年会
    • Place of Presentation
      政策研究大学院大学 (東京都港区)
    • Year and Date
      2014-09-03 – 2014-09-05
    • Related Report
      2014 Annual Research Report
  • [Presentation] 磁場源位置拘束偏微分方程式の新たな導出と定位への利用2014

    • Author(s)
      樋口 祐介,奈良 高明,安藤 繁
    • Organizer
      日本応用数理学会2014年会
    • Place of Presentation
      政策研究大学院大学 (東京都港区)
    • Year and Date
      2014-09-03 – 2014-09-05
    • Related Report
      2014 Annual Research Report
  • [Presentation] Unique Solvability of Euler's Equation for Localization of a Magnetic Dipole2013

    • Author(s)
      Takaaki Nara and Wataru Ito
    • Organizer
      SICE Annual Conference 2013
    • Place of Presentation
      名古屋大学, 愛知県
    • Related Report
      2013 Research-status Report
  • [Presentation] A Sparse Reconstruction with Regularization Minimizing Entropy for Magnetoencepharography2013

    • Author(s)
      Shinpei Okawa and Takaaki Nara
    • Organizer
      SICE Annual Conference 2013
    • Place of Presentation
      名古屋大学, 愛知県
    • Related Report
      2013 Research-status Report
  • [Presentation] Algebraic reconstruction of the general order poles of a meromorphic function and its application to biomagnetic inverse source problems2013

    • Author(s)
      Takaaki Nara
    • Organizer
      Applied Inverse Problem Conference
    • Place of Presentation
      Daejeon, Korea
    • Related Report
      2013 Research-status Report
  • [Presentation] 部屋型境界荷重積分センサを用いた磁気双極子定位2013

    • Author(s)
      江上 恭行,奈良 高明
    • Organizer
      第30回センシングフォーラム
    • Place of Presentation
      信州大学,長野県
    • Related Report
      2013 Research-status Report
  • [Presentation] 薄板型荷重積分センサを用いた3軸RFIDタグの3次元定位2013

    • Author(s)
      矢口 裕一朗,奈良 高明
    • Organizer
      第30回センシングフォーラム
    • Place of Presentation
      信州大学,長野県
    • Related Report
      2013 Research-status Report
  • [Presentation] 荷重積分法による複数磁気双極子の直接位置推定2013

    • Author(s)
      樋口 祐介,奈良 高明,安藤 繁
    • Organizer
      第30回センシングフォーラム
    • Place of Presentation
      信州大学,長野県
    • Related Report
      2013 Research-status Report
  • [Presentation] 双極子・四重極子モデルを用いた脳磁場逆問題の直接解法2013

    • Author(s)
      小岩 和郎,奈良 高明
    • Organizer
      第30回センシングフォーラム
    • Place of Presentation
      信州大学,長野県
    • Related Report
      2013 Research-status Report
  • [Presentation] An explicit method for the magnetoencephalography inverse problem based on data continuation2012

    • Author(s)
      Takaaki Nara, Haruhiko Sato, Kaoru Amano, and Tsunehiro Takeda
    • Organizer
      Proceedings of SICE Annual Conference 2012
    • Place of Presentation
      秋田大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 多重極磁化モデルに基づく脳磁場逆問題の直接解法2012

    • Author(s)
      奈良 高明
    • Organizer
      計測自動制御学会第29回センシングフォーラム
    • Place of Presentation
      茨城大学
    • Related Report
      2012 Research-status Report
  • [Presentation] ダイバージェンス型拘束式に基づくRFIDタグの二次元定位2012

    • Author(s)
      千葉 昭宏,奈良 高明
    • Organizer
      計測自動制御学会第29回センシングフォーラム
    • Place of Presentation
      茨城大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 境界荷重積分センサを用いた立方体空間内における磁気双極子定位2012

    • Author(s)
      江上 恭行,矢口 裕一朗,奈良 高明
    • Organizer
      計測自動制御学会第29回センシングフォーラム
    • Place of Presentation
      茨城大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Algebraic reconstruction of the multipoles of a meromorphic function and its application to the magnetoencephalography inverse problem2012

    • Author(s)
      奈良高明
    • Organizer
      京都大学数理解析研究所研究集会,偏微分方程式の逆問題解析とその周辺に関する研究
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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