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Development of structure discriminants method by combinatorial invariants

Research Project

Project/Area Number 24654025
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionOsaka University

Principal Investigator

NAKANE Kazuaki  大阪大学, 医学(系)研究科(研究院), 准教授 (10298804)

Co-Investigator(Kenkyū-buntansha) SUEMATSU Nobuhiko  明治大学, 先端数理科学インスティテュート, 講師 (80542274)
Project Period (FY) 2012-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywordsホモロジー / 組織形成 / 画像解析 / 組織 / 病理画像 / 金属画像 / 破断面
Research Abstract

We often found that, as Fe-C steels, mineral polymer compounds and cancer tissues, its structure determines the nature of the whole. Using a device such as a microscope, we observe the structures. The discrimination results of the structures depend on the skills of the observer. By introducing the objective methods, we should change this situation.
The development of this kind of systems have been advanced by the methods based on the pattern recognition technology. Because the structures are very complex, any effective systems have not been developed. Here, we propose a completely new method.
Our method reads "the state of the contacts" (the topological properties). Because structures are composed by the contact of elements, we can apply this method to many kind of structures. We have applied this to the several structures, we had very good numerical results.

Report

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

    (28 results)

All 2014 2013 2012 Other

All Journal Article (17 results) (of which Peer Reviewed: 9 results) Presentation (11 results) (of which Invited: 2 results)

  • [Journal Article] Homology Analysis of Structure of high carbon bearing steel: Effect of Repeated quenching on Prior Austenite Grain Size2014

    • Author(s)
      K. Nakane, E. C. Santos, T. Honda, K. Mizobe and K. Kida
    • Journal Title

      Materials Research Innovations

      Volume: 18 Pages: 33-37

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Simple Mathematical Model Utilizing Topological Invariants for Automatic Detection of Tumor Areas in Digital Tissue Images2013

    • Author(s)
      K. Nakane, Y. Tsuchihashi, N.Matsuura
    • Journal Title

      Diagnostic Pathology

      Volume: Suppl 1 Pages: 8-8

    • Related Report
      2013 Final Research Report
  • [Journal Article] Quantitative estimates of repeatedly quenched high carbon bearing steel2013

    • Author(s)
      Kazuaki Nakane, Koshiro Mizobe Edson Costa Santos and Katsuyuki Kida
    • Journal Title

      Applied Mechanics and Materials

      Volume: 372 Pages: 273-276

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Influence of repeated quenching on bearing steel martensitic structure investigated by homology2013

    • Author(s)
      K. Nakane, K. Mizobe and K. Kida
    • Journal Title

      Applied Mechanics and Materials

      Volume: 372 Pages: 116-119

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Homology analysis of prior austenite grain size of SAE52100 bearing steel processed by cyclic heat treatment2013

    • Author(s)
      K. Nakane, K. Kida and K. Mizobe
    • Journal Title

      Advanced Materials Research

      Volume: 813 Pages: 116-119

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Simple Mathematical Model Utilizing Topological Invariants for Automatic Detection of Tumor Areas in Digital Tissue Images2013

    • Author(s)
      K. Nakane, Y. Tsuchihashi and N. Matsuura
    • Journal Title

      Diagnostic Pathology

      Volume: 8 Pages: 1-7

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Classification of capillary images based on the average curvature estimation2013

    • Author(s)
      C. D. Hung,K. Nakane, T. Ito and I. Hashimoto
    • Journal Title

      Science report of Kanazawa University

      Volume: 56 Pages: 35-44

    • NAID

      120005307435

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Topological difference of grain composition in the WMZ (Weld Metal Zone) in low carbon steel Plates (JIS-SS400)2013

    • Author(s)
      K. Nakane, K. Mizobe, E. C. Santos and K. Kida
    • Journal Title

      Advanced Materials Research

      Volume: 566 Pages: 399-405

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 位相幾何学的手法に基づくアルゴリズムによる癌病変組織部抽出法の開発2012

    • Author(s)
      中根 和昭,Marcio Gameiro,鈴木 貴,松浦 成昭
    • Journal Title

      日本応用数理学会論文誌

      Volume: 22 Pages: 97-108

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Topological difference of grain composition in the WMZ (Weld Metal Zone) in low carbon steel Plates (JIS-SS400)2012

    • Author(s)
      Kazuaki Nakane, Takashi Honda, Edson Santos and Katsuyuki Kida
    • Journal Title

      Advanced Materials Research

      Volume: 566 Pages: 399-405

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Topological difference of grain composition in the WMZ (Weld Metal Zone) in low carbon steel Plates,(JIS-SS400) Proc

    • Author(s)
      K. Nakane, Takashi Honda, E. C. Santos and K. Kida
    • Journal Title

      New Methods of Damage And Failure Analysis of Structural Parts

      Pages: 271-277

    • Related Report
      2013 Final Research Report
  • [Journal Article] Homology analysis of prior austenite grain size of SAE52100 bearing steel processed by cyclic heat treatment

    • Author(s)
      K. Nakane, K. Kida, K. Mizobe
    • Journal Title

      Advanced Materials Research

      Volume: Vol. 813 Pages: 116-119

    • Related Report
      2013 Final Research Report
  • [Journal Article] Homology estimate of grain size measurement based on the JIS samples

    • Author(s)
      K. Nakane, K. Mizobe, K. Kida
    • Journal Title

      Applied Mechanics and Materials

      Volume: Vol.372 Pages: 116-119

    • Related Report
      2013 Final Research Report
  • [Journal Article] Homology Analysis of Structure of highcarbon bearing steel : Effect of Repeated quenching on Prior Austenite Grain Size publishing

    • Author(s)
      K. Nakane, E. C. Santos, T. Honda, K.Mizobe, K. Kida
    • Journal Title

      Materials Research Innovations(ISSN : 1433-075X)

    • Related Report
      2013 Final Research Report
  • [Journal Article] Classification of capillary images based on the average curvature estimation

    • Author(s)
      C. D. Hung,K. Nakane, T. Ito, I.Hashimoto
    • Journal Title

      Science report of Kanazawa University

      Volume: vol.56 Pages: 35-44

    • NAID

      120005307435

    • Related Report
      2013 Final Research Report
  • [Journal Article] Introduction of a cancer tissue detection method via homology

    • Author(s)
      K. Nakane, Y. Tsuchihashi
    • Journal Title

      Computerized Medical Imaging and Graphics

      Volume: (to appear)

    • Related Report
      2013 Final Research Report
  • [Journal Article] 第 10 回生物数学の理論とその応用癌病理画像診断の自動化について

    • Author(s)
      中根 和昭
    • Journal Title

      京都大学数理研紀要

      Volume: (to appear)

    • Related Report
      2013 Final Research Report
  • [Presentation] Quantitative evaluation of the organization by using the homology2013

    • Author(s)
      K. Nakane
    • Organizer
      International conference on Metallurgy Technology and materials
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Presentation] Influence of repeated quenching onbearing steel martensitic structure investigated by homology2013

    • Author(s)
      K. Nakane
    • Organizer
      International Conference on Metallurgy Technology and Materials
    • Related Report
      2013 Final Research Report
  • [Presentation] Homology Observation of fisheye cracks around TiN and Al2O3 Inclusions in repeatedly quenched high carbon bearing steel2013

    • Author(s)
      K. Nakane, K. Mizobe, K. Kida,
    • Organizer
      Advanced Materials World Congress (AMWC 2013)
    • Place of Presentation
      Izmir, Turkey
    • Related Report
      2013 Annual Research Report
  • [Presentation] Homology analysis of prior austenite grain size of SAE52100 bearing steel processed by cyclic heat treatment2013

    • Author(s)
      K. Nakane, K. Kida, K. Mizobe
    • Organizer
      Advanced Materials World Congress (AMWC 2013)
    • Place of Presentation
      Izmir, Turkey
    • Related Report
      2013 Annual Research Report
  • [Presentation] Automatic detection of tumor areas by Applying Homology Method2013

    • Author(s)
      K. Naknae, Y. Tsuchihashi
    • Organizer
      The 25th European Congress of Pathology (ECP 2013)
    • Place of Presentation
      Portgal, Lisbon
    • Related Report
      2013 Annual Research Report
  • [Presentation] Influence of repeated quenching on bearing steel martensitic structure investigated by homology2013

    • Author(s)
      K. Nakane
    • Organizer
      International Conference on Metallurgy Technology and Materials(ICMTM 2013)
    • Place of Presentation
      マレーシア,クアラルンプール
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] An approach to tissue analysis via topological method2012

    • Author(s)
      K. Nakane
    • Organizer
      2nd International Conference on Advance Materials Design and Mechanics (ICAMDM2013)
    • Related Report
      2013 Final Research Report
  • [Presentation] An approach to tissue analysis via topological method2012

    • Author(s)
      K. Nakane
    • Organizer
      International Conference on Machine Design and Manufacturing Engineering
    • Place of Presentation
      韓国
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] A Simple Mathematical Model Utilizing a Topological Invariant for Automatic Detection of Tumor Areas in Digital Tissue Images2012

    • Author(s)
      K.Nakane, Y. Tsuchihashi
    • Organizer
      11th European Congress on Telepathology and 5th International Congress on Virtual Microscopy
    • Place of Presentation
      Venetia(イタリア)
    • Related Report
      2012 Research-status Report
  • [Presentation] Mathematical modeling for a free boundary problem of hyperbolic type and properties of its solution2012

    • Author(s)
      K. Nakane
    • Organizer
      The Fourteenth International Conference devoted to Theory, Numerics and Applications of Hyperbolic Problems
    • Place of Presentation
      Padva(イタリア)
    • Related Report
      2012 Research-status Report
  • [Presentation] Image Analysis for the structures of grains via homology methods2012

    • Author(s)
      K. Nakane, T. Honda, E. C. Santos and K. Kida
    • Organizer
      New Methods of Damage and Failure Analysis of Structural Parts
    • Place of Presentation
      Ostrava(チェコ)
    • Related Report
      2012 Research-status Report

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

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