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An algebraic method for inverse source problems and its applications

Research Project

Project/Area Number 21760311
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Measurement engineering
Research InstitutionThe University of Electro-Communications

Principal Investigator

NARA Takaaki  The University of Electro-Communications, 大学院・情報理工学研究科, 准教授 (80353423)

Project Period (FY) 2009 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Keywordsセンシング情報処理 / 逆問題 / スマートセンサ / 数理工学 / 非破壊検査 / 脳磁場 / 漏洩磁束探傷 / 計測工学
Research Abstract

We considered the magnetoencephalography inverse problem and proposed a method for estimating the neural current inside the human brain from the magnetic field measured by sensors on a surface that does not encloses the current source. The advantages compared to the conventional methods are that it does not require an initial guess of the solution and iterative computing. Also, for non-destructive inspection of a steel pipe, we proposed two sensors that measure the so-called Fourier coefficients of the magnetic field. Compared to the conventional method using a sensor array, our method can localize a crack on the surface of the pipe by using the two sensors only.

Report

(3 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • Research Products

    (28 results)

All 2011 2010 2009 Other

All Journal Article (7 results) (of which Peer Reviewed: 6 results) Presentation (18 results) Remarks (1 results) Patent(Industrial Property Rights) (2 results)

  • [Journal Article] A sensor measuring the Fourier coefficients of the magnetic flux density for pipe crack detection using the magnetic flux leakage method2011

    • Author(s)
      Takaaki Nara, Yuushi Takanashi, Masashi Mizuide
    • Journal Title

      Journal of Applied Physics 109

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] An inverse source problem for quasi-static Maxwell's equations2011

    • Author(s)
      Abdellatif El Badia, Takaaki Nara
    • Journal Title

      Journal of Inverse and Ill-posed Problems 18

      Pages: 741-764

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] An inverse source problem for quasi-static Maxwell's equations2011

    • Author(s)
      Abdellatif El Badia, Takaaki Nara
    • Journal Title

      Journal of Inverse and Ill-posed Problems

      Volume: 18 Pages: 741-764

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A sensor measuring the Fourier coefficients of the magnetic flux density for pipe crack detection using the magnetic flux leakage method2011

    • Author(s)
      Takaaki Nara, Yuushi Takanashi, Masashi Mizuide
    • Journal Title

      Journal of Applied Physics

      Volume: 109

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 磁場のフーリエ係数計測用コイルの開発と漏洩磁束探傷への応用2010

    • Author(s)
      奈良高明
    • Journal Title

      検査技術 15

      Pages: 8-13

    • NAID

      40016937930

    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Journal Article] Direct localization of poles of a meromorphic function from measurements on an incomplete boundary2010

    • Author(s)
      Takaaki Nara, Shigeru Ando
    • Journal Title

      Inverse Problems 26

    • Related Report
      2010 Final Research Report 2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An exact direct method of sinusoidal parameter estimation derived from finite fourier integral of differential equation2009

    • Author(s)
      Shigeru Ando, Takaaki Nara
    • Journal Title

      IEEE Trans.Signal Processing 57

      Pages: 3317-3329

    • Related Report
      2010 Final Research Report 2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] A sensor measuring the Fourier coefficients of the magnetic flux density for the pipe crack detection using the magnetic flux leakage methods2010

    • Author(s)
      Takaaki Nara, Yuushi Takanashi, Masashi Mizuide
    • Organizer
      55^th Annual Conference on Magnetism and Magnetic Materials
    • Place of Presentation
      Hyatt Regency Atlanta, Atlanta, USA
    • Year and Date
      2010-11-17
    • Related Report
      2010 Final Research Report
  • [Presentation] A sensor measuring the Fourier coefficients of the magnetic flux density for the pipe crack detection using the magnetic flux leakage methods2010

    • Author(s)
      Takaaki Nara, Yuushi Takanashi, Masashi Mizuide
    • Organizer
      55^<th> Annual Conference on Magnetism and Magnetic Materials
    • Place of Presentation
      Hyatt Regency Atlanta, Atlanta, USA
    • Year and Date
      2010-11-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] 磁場源拘束偏微分方程式と荷重積分法に基づく磁気双極子位置推定の直接代数法2010

    • Author(s)
      奈良高明, 安藤繁
    • Organizer
      日本応用数理学会2010年度年会
    • Place of Presentation
      明治大学(東京都)
    • Year and Date
      2010-09-06
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] 波源拘束偏微分方程式と荷重積分法に基づく波源位置推定の直接代数法2010

    • Author(s)
      安藤繁, 奈良高明
    • Organizer
      日本応用数理学会2010年度年会
    • Place of Presentation
      明治大学(東京都)
    • Year and Date
      2010-09-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] Two-dimensional localization of a magnetic dipole from its first order Fourier coefficients of the magnetic flux density2010

    • Author(s)
      Takaaki Nara, Yuushi Takanashi, Hiroyuki Watanabe
    • Organizer
      SICE Annual Conference2010
    • Place of Presentation
      The Grand Hotel, Taipei,TaiwanThe Grand Hotel, Taipei,Taiwan
    • Year and Date
      2010-08-21
    • Related Report
      2010 Final Research Report
  • [Presentation] Two-dimensional localization of a magnetic dipole from its first order Fourier coefficients of the magnetic flux density2010

    • Author(s)
      Takaaki Nara, Yuushi Takanashi, Hiroyuki Watanabe
    • Organizer
      SICE Annual Conference 2010
    • Place of Presentation
      The Grand Hotel, Taipei, Taiwan
    • Year and Date
      2010-08-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] 電流双極子・四重極子モデルに対する直接解法2010

    • Author(s)
      奈良高明
    • Organizer
      第25回日本生体磁気学会大会論文集
    • Place of Presentation
      さわやか千葉県民プラザ(千葉県)
    • Year and Date
      2010-07-29
    • Related Report
      2010 Final Research Report
  • [Presentation] 電流双極子・四重極子モデルに対する直接解法2010

    • Author(s)
      奈良高明
    • Organizer
      第25回日本生体磁気学会大会論文集
    • Place of Presentation
      さわやか千葉県昆プラザ(千葉県)
    • Year and Date
      2010-07-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] ファントムデータを用いた直接解法の検証2010

    • Author(s)
      佐藤晴彦, 青鹿弘行, 奈良高明, 天野薫, 武田常広
    • Organizer
      第25回日本生体磁気学会大会論文集
    • Place of Presentation
      さわやか千葉県民プラザ(千葉県)
    • Year and Date
      2010-07-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] 脳磁場逆問題のための直接解法における多重極係数の高精度計算法2010

    • Author(s)
      青鹿弘行, 佐藤晴彦, 奈良高明, 天野薫, 武田常広
    • Organizer
      第25回日本生体磁気学会大会論文集
    • Place of Presentation
      さわやか千葉県民プラザ(千葉県)
    • Year and Date
      2010-07-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] フーリエコイルを用いた配管探傷法2010

    • Author(s)
      高梨祐史, 奈良高明
    • Organizer
      第82回パターン計測部会研究会資料
    • Place of Presentation
      電気通信大学(東京都)
    • Year and Date
      2010-07-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] Identification of poles of a meromorphic function and its application to inverse source problems, 数値解析と数値計算アルゴリズムの最近の展開2009

    • Author(s)
      Takaaki Nara, Shigeru Ando
    • Organizer
      京都大学数理解析研究所研究集会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-12-16
    • Related Report
      2010 Final Research Report
  • [Presentation] Identification of poles of a meromorphic function and its application to inverse source problems2009

    • Author(s)
      Takaaki Nara, Shigeru Ando
    • Organizer
      数値解析と数値計算アルゴリズムの最近の展開, 京都大学数理解析研究所研究集会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-12-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] 多重極ソースモデルを用いた脳磁場逆問題の直接解法2009

    • Author(s)
      奈良高明
    • Organizer
      日本応用数理学会2009年度年会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-28
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] 磁場のフーリエ係数計測コイルの開発と磁気双極子推定・漏洩磁束探傷への応用2009

    • Author(s)
      奈良高明, 高梨祐史, 渡邉裕俊
    • Organizer
      第33回日本磁気学会学術講演会
    • Place of Presentation
      長崎大学
    • Year and Date
      2009-09-15
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] 脳磁図(MEG)逆問題の数理と解法-定式化・従来法・直接法-2009

    • Author(s)
      奈良高明
    • Organizer
      画像計測研究会2009
    • Place of Presentation
      核融合科学研究所,岐阜県土岐市(招待講演)
    • Year and Date
      2009-09-04
    • Related Report
      2010 Final Research Report
  • [Presentation] 脳磁図(MEG)逆問題の数理と解法―定式化・従来法・直接法―2009

    • Author(s)
      奈良高明
    • Organizer
      画像計測研究会2009
    • Place of Presentation
      核融合科学研究所, 岐阜県土岐市
    • Year and Date
      2009-09-04
    • Related Report
      2009 Annual Research Report
  • [Presentation] Direct localization of poles of a meromorphic function from incomplete boundary measurements2009

    • Author(s)
      奈良高明
    • Organizer
      International conference on inverse problems and its applications
    • Place of Presentation
      Daejeon, Korea
    • Year and Date
      2009-08-18
    • Related Report
      2009 Annual Research Report
  • [Remarks] ホームページ等

    • URL

      http://www.inv.mce.uec.ac.jp/nara/index-j.htm

    • Related Report
      2010 Final Research Report
  • [Patent(Industrial Property Rights)] 磁気センサおよび物品位置推定装置2010

    • Inventor(s)
      奈良高明, 橋本光男, 小泉捷平, 鈴木啓介
    • Industrial Property Rights Holder
      電気通信大学
    • Acquisition Date
      2010-02-04
    • Related Report
      2010 Final Research Report
  • [Patent(Industrial Property Rights)] 磁気センサおよび物品位置推定装置2010

    • Inventor(s)
      奈良高明, 橋本光男, 小泉捷平, 鈴木啓介
    • Industrial Property Rights Holder
      電気通信大学
    • Industrial Property Number
      2010-047874
    • Filing Date
      2010-03-04
    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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