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Study on methods to construct digitized Voronoi Diagrams and its applications to Self-Organizing Feature Map

Research Project

Project/Area Number 11680366
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 計算機科学
Research InstitutionKAGOSHIMA UNIVERSITY

Principal Investigator

MURASHIMA Sadayuki  Faculty of Engineering, KAGOSHIMA UNIVERSITY Professor, 工学部, 教授 (70027811)

Co-Investigator(Kenkyū-buntansha) FUCHIDA Takayasu  Faculty of Engineering, KAGOSHIMA UNIVERSITY Asistant Prof., 工学部, 助手 (70253911)
MORI Kunihiko  Faculty of Engineering, KAGOSHIMA UNIVERSITY Associate Prof., 工学部, 助教授 (10284902)
Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2000: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1999: ¥2,200,000 (Direct Cost: ¥2,200,000)
KeywordsVoronoi Diagram / Self-Organizing Feature Map / Topology Preservation / Digitized Space / Measure / two-dimensional / 2次元
Research Abstract

During our reserch several results are obtained which are given as following :
1. Efficient algorithms for inserting or deleating kernel point are developed.
2. By using digitized Voronoi daiagram, we developed new method for measuring the topology preservation of self-organizing feature map.
3. New technique for constructing digitized Voronoi daiagram incrementing kernels one by one was developed. This method is faster than the wave front method for all cases. Another merit of this technique is that we need not the order table. This algorithm will be published in IEICE Trans.A.This technique also made us possible to construct 3-dimensional Voronoi Diagram because it takes long time to divide 3-dimensional space by using the wave front method.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (8 results)

All Other

All Publications (8 results)

  • [Publications] 渕田孝康,上原修平,森邦彦,村島定行: "離散ボロノイ図における母点の追加と削除のアルゴリズム"電子情報通信学会分冊A. Vol.J84-A. (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Murashima Sadayuki,Kashima Masayuki,Fuchida Takayasu: "New Method for Measureing the Topology Preservation of Self-Organizing Feature Map."Australian Journal of Intelligent Information processing System. Vol.6. 97-104 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] FUCHIDA Takayasu, UEHARA Shuuhei, MORI Kunihiko MURASHIMA Sadayuki: "Algorithm of Adding and deleating kernel point for digitized Voronoi Diagram."IEICE Trans.. Vol.J84-A (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] MURASHIMA Sadayuki, KASHIMA Masayuki, FUCHIDA Takayasu: "New method for measuring the topology preservation for self-organizing feature maps."Australian Journal of Intelligent Information processing system. Vol.6. 97-104 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 渕田孝康,上原修平,森邦彦,村島定行: "離散ボロノイ図における追加と削除のアルゴリズム"電子情報通信学会論文誌 分冊A. Vol.J84-A. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Murashima Sadayuki,Kashima Masayuki,Fuchida Takayasu: "New Method for Measuring the Topology Preservation of Self Organizing Feature Map"Australian Journal of Intelligent Information Processing System. Vol.6,No.2. 97-104 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] S.Murashima,M.Kashima,T.Fuchida: "New Method for Measuring the Topology Preservation of self-organizing Feature Maps"Proceedings of International Conference on Neural Information Processing ICONIP'99. vol.1. 273-278 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 渕田孝康、森邦彦、村島定行: "波面法を用いた2次元一般図型ボロノイ図の作成"電子情報通信学会論文誌 DI. vol.J83-D-I・?. (2000)

    • Related Report
      1999 Annual Research Report

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

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