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

• Project/Area Number: 24560072
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Engineering fundamentals
• Research Institution: The 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: ¥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.

Research Products

• [Journal Article] 2-D Localization of Radio Frequency Identification tags from measurements of the weighted integrals of the magnetic flux density (2014)
  • 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
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Algebraic Reconstruction Combined with the Signal Space Separation Method for the Inverse Magnetoencephalography Problem with Dipole-Quadrupole Source (2014)
  • 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
  • Peer Reviewed
• [Journal Article] Non-destructive inspection of ferromagnetic pipes based on the discrete Fourier coefficients of magnetic flux leakage (2014)
  • Author(s): Takaaki Nara, Motoyuki Fujieda, and Yuji Gotoh
  • Journal Title: Journal of Applied Physics Volume: 115 Issue: 17
  • DOI: 10.1063/1.4863805
• [Journal Article] Moore-Penrose Generalized Inverse of the Gradient Tensor in Euler's Equation for Locating a Magnetic Dipole (2014)
  • Author(s): Takaaki Nara and Wataru Ito
  • Journal Title: Journal of Applied Physics Volume: 115 Issue: 17
  • DOI: 10.1063/1.4861675
• [Journal Article] Algebraic reconstruction of current dipoles and quadrupoles in three-dimensional space (2013)
  • Author(s): Takaaki Nara
  • Journal Title: Mathematical Problems in Engineering Volume: Volume 2013 Pages: 413980-413980
  • 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
  • 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
• [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
• [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
• [Presentation] A planar sensor for localization of a three-axis magnetic dipole (2014)
  • 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
• [Presentation] Direct localization of a magnetic dipole based on a gradient-form partial differential equation (2014)
  • 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
• [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
• [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
• [Presentation] Unique Solvability of Euler's Equation for Localization of a Magnetic Dipole (2013)
  • Author(s): Takaaki Nara and Wataru Ito
  • Organizer: SICE Annual Conference 2013
  • Place of Presentation: 名古屋大学, 愛知県
• [Presentation] A Sparse Reconstruction with Regularization Minimizing Entropy for Magnetoencepharography (2013)
  • Author(s): Shinpei Okawa and Takaaki Nara
  • Organizer: SICE Annual Conference 2013
  • Place of Presentation: 名古屋大学, 愛知県
• [Presentation] Algebraic reconstruction of the general order poles of a meromorphic function and its application to biomagnetic inverse source problems (2013)
  • Author(s): Takaaki Nara
  • Organizer: Applied Inverse Problem Conference
  • Place of Presentation: Daejeon, Korea
• [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
• [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
• [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
• [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
• [Presentation] An explicit method for the magnetoencephalography inverse problem based on data continuation (2012)
  • 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
• [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
• [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
• [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
• [Presentation] Algebraic reconstruction of the multipoles of a meromorphic function and its application to the magnetoencephalography inverse problem (2012)
  • 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