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1995 Fiscal Year Final Research Report Summary

ADVANCED RESEARCH ON A SYSTEM OF FUNDAMENTAL THEORY RELATED TO PATTERN RECOGNITION

Research Project

Project/Area Number 05402061
Research Category

Grant-in-Aid for General Scientific Research (A)

Allocation TypeSingle-year Grants
Research Field Intelligent informatics
Research InstitutionJAPAN ADVANCED INSTITUTE OF SCIENCE AND TECHNOLOGY,HOKURIKU

Principal Investigator

IIJIMA Taizo  JAPAN ADVANCED INSTITUTE OF SCIENCE AND TECHNOLOGY ; HOKURIKU SCHOOL OF INFORMATION SCIENCE,PROFESSOR, 情報科学研究科, 教授 (50016622)

Co-Investigator(Kenkyū-buntansha) IWAKI Mamoru  JAPAN ADVANCED INSTITUTE OF SCIENCE AND TECHNOLOGY,HOKURIKU SCHOOL OF INFORMATIO, 情報科学研究科, 助手 (20262595)
AKAGI Masato  JAPAN ADVANCED INSTITUTE OF SCIENCE AND TECHNOLOGY,HOKURIKU SCHOOL OF INFORMATIO, 情報科学研究科, 助教授 (20242571)
Project Period (FY) 1993 – 1995
KeywordsFigure Source / Visual Pattern / Fundamental Equation / Transcendental Equation / Logarithmic Normal Distribution / Multiple Similarity Method / Hyper Polarity Method / Acceptability of similarity method
Research Abstract

1. Reconstruction of a system of the fundamental theory with figure source (the second order differentiated image) as its core
The equation of figure source was derived according to the fundamental equation of visual pattern. Based on the above equation, structures of observing transformation were analyzed, and the transcendental equation to determine view-points and view-sights was established in a concise form than the conventional one.
2. A study on fast methods for solving transcendental equation
A fundamental problem of successive processes based on steepest descent method was theoretically studied and a solution was obtained. And an epoch-making method was established, which estimates the limit of a sequence of numbers given by successive methods with fewer iterations, after recognizing the type of the sequence. Development of a fast method based on the above for solving transcendental equation still remains for further research.
3.Theoretical determination of the type of the probabi … More lity distribution for typical trans-formations of pattern
The type of probability distribution of the isomorphic transformation appearance was theoretically analyzed because it is most fundamental in pattern transformation. In particular, it was found that the distribution in expansion and contraction problem is a logarithmic normal distribution, which is a remarkable result of this research.
New developments in classification theory
(1) In order to grow out of the multiple similarity method, a super high-performance discrimination method called 'the hyper polarity method' was proposed, which was designed to be in harmony with the theory of statistical decision function. Experimental results showed that this discrimination method is superior to the multiple similarity method.
(2) In order to improve the acceptability of similarity method, the pluralized method of the same was proposed based on the expansion by successive derivatives.
High growth of a system of the fundamental theory, which this advanced research aims at, is not necessarily achieved, but the above results shows remarkable progress in the theory. Less

  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] 飯島 泰藏: "画像の伸縮に関する確立分布について" 電子情報通信学会論文誌A. J76-A. 1368-1372 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 飯島 泰藏: "ポアソン分布の理論的導出法について" 電子情報通信学会論文誌A. J76-A. 1482-1486 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 飯島 泰藏: "自然観測変換の基礎理論" 電子情報通信学会論文誌A. J76-A. 162-1626 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 飯島 泰藏: "自然観測法理論(標準形式)の原点に関する考察" 電子情報通信学会論文誌A. J76-A. 1627-1630 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 飯島 泰藏: "自然観測法理論における近接型と平衡型との間の関係について" 電子情報通信学会論文誌A. J77-A. 538-542 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 飯島 泰藏: "収束性の悪い数列の高速極限値推定法" 電子情報通信学会論文誌A. J77-A. 767-774 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 飯島 泰藏: "自然観測フィルタによる一般波形の受理と生成" 電子情報通信学会論文誌A. J78-A. 722-727 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 青木 泰浩: "図源の方程式とその物理的考察" 電子情報通信学会論文誌D-II. J78-D-II. 1298-1306 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 尾関 孝史: "実対称行列の固有値問題における最急降下法の加連法" 電子情報通信学会論文誌A. J79-A. 57-68 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 飯島 泰藏: "有限和によって波形を再構成できる自然観測法の基礎理論-正規型自然観測法理論の展開-" 電子情報通信学会論文誌A. J79-A. 77-87 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 飯島 泰藏: "収束数列の高速極限値推定法" 電子情報通信学会論文誌A. (採録決定).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 岩城 譲: "離散時間波形に対する自然観測法について" 電子情報通信学会論文誌A. (採録決定).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Taizo IIJIMA: ""On the Probability Distribution Concerning Expansion or Contraction of Image Size"" Trans. IEICE (A). Vol. J76-A,No. 9. 1368-1372 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Taizo IIJIMA: ""On the Theoretical Induction of Poisson Distribution"" Trans. IEICE (A). Vol. J76-A No. 10. 1482-1486 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Taizo IIJIMA: ""Fundamental Theory of Natural Observation Transformation"" Trans. IEICE (A). Vol. J76-A,No. 11. 1620-1626 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Taizo IIJIMA: ""Consideration on an Origin of the Natural Observation Theory in case of Standard Form"" Trans. IEICE (A). Vol. J76-A,No. 11. 1627-1630 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Taizo IIJIMA: ""On the Relation between Neighboring Type and Equilibrium Type in the Theory of Natural Observation"" Trans. IEICE (A). Vol. J77-A,No. 3. 538-542 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Taizo IIJIMA: ""An Efficient Method for the Limit Estimation of Slowly Convergent Sequence of Numbers"" Trans. IEICE (A). Vol. J77-A,No. 5. 767-774 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Taizo IIJIMA: ""Acception and Generation of General Wave by a Natural Observation Filter"" Trans. IEICE (A). Vol. J78-A,No. 6. 722-727 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yasuhiro AOKI and Taizo IIJIMA: ""The Equation of Figure Source and Its Physical Consideration"" Trans. IEICE (D-II). Vol. J78-D-II No. 9. 1298-1306 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Takashi OZEKI and Taizo IIJIMA: ""An Acceleration of the Steepest Decent Method for Real Symmetric Eigenvalue Problem"" Trans. IEICE (A). Vol. J79-A,No. 1. 57-68 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Mamoru IWAKI and Taizo IIJIMA: ""Fundamental Theory of Natural Observation Method with Complete Reconstruction Property by Finite Sum-Natural Observation Theory of Normal Type-"" Trans. IEICE (A). Vol. J79-A,No. 1. 77-87 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Taizo IIJIMA: ""A Method for the Limit Estimation of Convergent Sequence of Numbers"" Trans. IEICE (A). (Accepted).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Mamoru IWAKI and Taizo IIJIMA: ""Natural Observation Method for Discrete-time Waveforms"" Trans. IEICE (A). (Accepted).

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1997-03-04  

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