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Researches and a developments of a recognition system of handwritten mathematical formula

Research Project

Project/Area Number 11440031
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionFukuoka University of Education

Principal Investigator

TAMARI Fumikazu  Faculty of Education, Fukuoka University of Education, Professor, 教育学部, 教授 (70036937)

Co-Investigator(Kenkyū-buntansha) SUZUKI Masakazu  Graduate School of Mathematics, Kyushu University, Professor, 数理学研究院, 教授 (20112302)
SHIRAISHI Masato  Faculty of Education, Fukuoka University of Education, Assistant Professor, 教育学部, 助教授 (70216183)
KAMIMURA Hideki  Faculty of Education, Fukuoka University of Education, Professor, 教育学部, 教授 (00036906)
FUKUDA Ryouji  Faculty of Information Engineering, Oita University, Assistant Professor, 工学部, 助教授 (70238492)
EJIMA Toshiaki  Faculty of Information Science, Kyusyu Institute of Technology, Professor, 情報工学部, 教授 (00124553)
Project Period (FY) 1999 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥12,600,000 (Direct Cost: ¥12,600,000)
Fiscal Year 2002: ¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 2001: ¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 2000: ¥2,900,000 (Direct Cost: ¥2,900,000)
Fiscal Year 1999: ¥5,200,000 (Direct Cost: ¥5,200,000)
Keywordson line / recognition of mathematical formula / mathematical symbol / handwritten mathematical formula / 手書き文字 / 数式認識インターフェース / 教育支援システム / Mathematica / 数式構造解析 / オンライン数式認識 / オフライン数式認識 / 文字認識 / チェインコード / 大分類辞書 / ベースライン
Research Abstract

There are many researches about the recognition system of handwriting mathematical formula. But such system has not been realized. The aim of our researches are a research and development of the recognition system of handwriting mathematical formula. In order to recognize mathematical expression exactly, we adopted a recognition method in which a character is recognized and rewritten one by one and automatically. In the recognition method, A handwritten mathematical symbol is rewritten by a clean character which is prepared beforehand and is displayed in appropriate position by considering the relation of horizon, superscript and subscript. By using such method, a correction rate of a recognition of a mathematical expression has been increased. In many cases, there is a correction character between the first candidate character and third candidate character. So in our recognition system, we can choose a corrected character between the first candidate character and the third candidate character. We developed a handwriting recognition system of mathematical formula that recognizes a mathematical formula by hand which is a clean mathematical formula. We shall develop a recognition system that recognizes a subscript of the left-hand side and a matrix and so on. In scientific Journal and society, T_Exare used. Many scientific researchers use T_EX. But teachers of mathematics in high school do not use willingly. Because for them it is difficult to use T_EX. They have to learn command of the T_EX. Therefore Suzuki Laboratory of kyushu University and CAI SYSTE developed and realized mathematical expression editor "Infty". About details, the cite http://www.caisystem.co.jp/infty/ will be referred.

Report

(5 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (36 results)

All Other

All Publications (36 results)

  • [Publications] H.Okamura: "Handwriting Interface for Computer Algebra Systems"Proceedings of the Fourth Asian Technology Conference on matematics. 291-300 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R.Fukuda: "Optical Recognition and Braille Transcription of Mathematical Documents"Proceedings of the 7th ICCHP. 711-718 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Kamimura: "Clustering by a fuzzy metric"Fuzzy Sets and System. 120. 249-254 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Eto: "Mathematical Formula Recognition Using Virtual Link Network"Proceedings of the Sixth International Conference on Document Analysis and Recognition. 430-437 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Kanahori: "A Recognition Method of Matrices by Using Variable Block Pattern Elements Generating Rectangular Area"Lecture Notes in Computer Science. 2390. 320-329 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Fujimoto: "A mathematics typesetting tool with a handwriting interface and computing functions"The 7th Meetings on Topological Space Theory and its Applications. 7-10 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Okamura, T.Kanahori, M.Suzuki, R.Fukuda, W.Cong, F.Tamari: "Handwriting Interface for Computer Algebra Systems"Proceedings of the Fourth Asian Technology Conference on mathematics. 291-300 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Kamimura, M.Kurano: "Clustering by a fuzzy metric"Fuzzy Sets and System. 120. 249-254 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Eto, M.Suzuki: "Mathematical Formula Recognition Using Virtual Link Network"Proceedings of the Sixth International Conference on Document Analysis and Recognition. 430-437 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Kanahori, M.Suzuki: "A Recognition Method of Matrices by Using Variable Block Pattern Elements Generating Rectangular Area"Lecture Notes in Computer Science. 2390. 320-329 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Fujimoto, M.Suzuki: "A mathematics typesetting tool with a handwriting interface and computing functions"The 7th Meetings on Topological Space Theory and its Applications. 7-10 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R.Fukuda, N.Ohtake, M.Suzuki: "Optical Recognition and Braille Transcription of Mathematical Documents"Proceedings of the 7th International Conference on Computers Helping People with Special Needs (ICCHP), Karlsruhe. 7-10 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Eto: "Mathematical Formula Recognition Using Virtual Link Network"Proceeding of the Sixth International Conference on Document Analysis and Recognition. 430-437 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Fukutake: "Degrees and Fuzzy Generaized Closed Sets"The Journal of Fuzzy Mathematics. 9. 159-172 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Ohtomo: "On relative prime number in a sequence of positive integer"Journal of Statistical Planning and Inference. 106. 509-516 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Kanahori: "A Recognition Method of Matrices by Using Variable Block Pattern Elements Glenerating Rectangular Area"Lecture Notes in Computer Science. 2390. 320-329 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Fujimoto: "Construction of affine Plane curves with one Place at inftinity"Osaka J. Math.. 39. 1005-1027 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Fujimoto: "A mathematics typesetting tool with a handwriting interface and computing functions"The 7th Meetings on Topological Space Theory and its Applications. 7-10 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 松尾篤: "HeadClassifier:人物顔画像の実時間分類"画像センシングシンポジウム. 411-416 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 金堀利洋: "可変ブロックパターンによる矩形領域分割を用いた行列の認識"信学技法 PRMU2000. 100. 1-6 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 江藤裕子: "仮想リンク・ネットワークを用いた数式認識"信学技法 PRMU2000. 100. 7-14 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 中山優幸: "数学記号の特徴を用いた数式の水平分割による数式構造解析"信学技法 PRMU2000. 100. 15-22 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 田畑耕一: "2次元ワープを併用したオンライン英数字・数学記号認識"信学技法 PRMU2000. 100. 23-30 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Nakata: "Some Upper Bounds on Expected Agreement Time of a Probabilistic Local Majority Polling Gam"Carleton Scientific. 293-304 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 白石正人: "Webページによる試験環境の構築とその実践について"福岡教育大学紀要. 17. 395-404 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Tsukasa Noma: "A Motion Generator Approach to Translating Human Motion from Video to Animation"The Journal of Visualization and Computer Animation. 11. 237-248 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 能隅進一: "絞り込み法による数式文字認識とその日本語/数式領域切りだしへの応用"電子情報通信学会論文誌. 83. 895-906 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H,Okamura: "A Handwriting Interface for Computer Algebra Systems."Proceedings of the Fourth Asian Technology Conference on Mathematics, Guangzhou. 291-300 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] Ryoji,Fukuda: "A Technique of Mathematical Expression Structure Analysis for Handwriting Input System."Proceedings of the Fifth International Conference on Document Analysis and Recognition. 131-134 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] Shin-ichi,Ichinose: "Spatio-temporal patterns in reversible cellular automata"Bulletin of Fukuoka University of Education. 48. 89-102 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] Byung-Woo Min: "Visual Recgnition of Static/Dynamic Gesture:Gesture-Driven Editing System"Journal of Visual Languages and Computing. 10. 291-309 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Ryoji Fukuda: "Technique of Mathematical Expression Structure Analysis for the Handwriting from Documents"Proceedings of Fifth ICDAR'99. 131-134 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Hirofumi Okamura: "Handwriting Interface for Computer Algebra Systems"Proceedings of the Fourth ATCM. 291-300 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 呂暁: "新聞記事データベースを対象とした接続詞の統計的分析"日本産業技術教育学会、第12回九州支部大会講演要旨集. 31-32 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Toshio Nakata: "Probabilistic Local Majority Voting for the Agreement Problem on Finite Graphs"Lecture Notes in Computer Science. 1627. 330-338 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 江藤裕子: "最小コスト全域木検索を用いたオフライン数式構文認識"電子情報通信学会技術研究報告PRMU. 99. 37-43 (2000)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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