• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Development of Geometric Clustering Algorithms and Applications to VLSI Design

Research Project

Project/Area Number 01550295
Research Category

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

Allocation TypeSingle-year Grants
Research Field 計算機工学
Research InstitutionOsaka Electro-Communication University

Principal Investigator

ASANO Tetsuo  Faculty of Engineering, Osaka Electro-Communication University, Professor., 工学部, 教授 (90113133)

Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 1990: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1989: ¥1,700,000 (Direct Cost: ¥1,700,000)
Keywordsクラスタリング / 類似度行列 / 計増幾何学 / アルゴリズム / 幾何学的変換法 / 回路分割問題 / 計算幾何学 / レイアウト設計 / VLSI / 固有値 / 素子配置
Research Abstract

Grouping similar objects is called cluster analysis. There have been considered a lot of algorithms. When we formulate this problem as a problem in Graph Theory, it may often become NP-complete. Therefore, we rely on heuristic algorithms. In this research we first presented an algorithm for mapping objects into points in the plane so that similar objects are placed closely, based on Principal Coordinate Analysis. Then, applying Geometric Transform, points are mapped into lines. Using Topological Walk Algorithm developed in the research, we can examine all possible regions defined by those lines. This corresponds to examination of all possible partitions of those points in the dual plane. The idea was applied to Circuit Partitioning in VLSI design.

Report

(3 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] H.Umeo and T.Asano: "systolic Algorithms for Computational geometry Problems ーA Survey" Computing. 41. 19-40 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Asano,E.Lodi: "Solving SemiーDynamic Geometric Problems" 電子情報通信学会 英文誌. Eー73. 265-269 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Asano,T.Tokuyama: "Algorithms fof Projecting Points to Give the Most Uniform Distribution with Applications to Hashing" Algorithmica.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Asano,T.Tokuyama: "Circuit Partitioning Algorithms:Graph Model vs Geometry Model" International Jaurnal on Computational Geometry and Applications.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Asano,L.J.Guibas,T.Tokuyama: "Walking on an Arrangement Topologically" SIAM Journal on Computing.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 浅野 哲夫: "計増幾何学" 朝倉書店, 231 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Asano,E.Lodi: "Solving SemiーDynamic Geometric Problems" 電子情報通信学会英文誌. Eー73. 265-269 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Asano,T.Tokuyama: "Algorithms for Projecting Points to Give the Most Uniform Distribution with Applications to Hashing" Algorithmica,.

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Asano,T.Tokuyama: "Circuit Partitioning Algorithms:Graph Model vs Geometry Model" International Journal on Computational Geometry and Applications,.

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Asano,L.J.Guibas,T.Tokuyama: "Walking on an Arrangement Topologically" SIAM J.on Computing.

    • Related Report
      1990 Annual Research Report
  • [Publications] 浅野 哲夫: "計算幾何学" 朝倉書店, 231 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] H.Umeo.T.Asano: "Systolic Algorithms for computational Geonetry Problems" Computing. 41. 19-40 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Asano,E.Lodi: "Solving Semi-Dynamic Geometric Problems" 電子情報通信学会論文誌E分冊. E73. 265-269 (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] 浅野哲夫: "計算幾何学入門(仮題)" 朝倉書店, 250ペ-ジ (1990)

    • Related Report
      1989 Annual Research Report

URL: 

Published: 1989-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi