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2000 Fiscal Year Final Research Report Summary

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
KeywordsVoronoi Diagram / Self-Organizing Feature Map / Topology Preservation / Digitized Space / Measure / two-dimensional
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.

  • Research Products

    (4 results)

All Other

All Publications (4 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
  • [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
  • [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
  • [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

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Published: 2002-03-26  

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