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A STUDY ON GEOMETRIC TRANSFORMATION PRESERVING GRID POINTS AND ITS APPLICATIONS

Research Project

Project/Area Number 04650331
Research Category

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

Allocation TypeSingle-year Grants
Research Field 情報工学
Research InstitutionOSAKA ELECTRO-COMMUNICATION UNIVERSITY

Principal Investigator

ASANO Tetsuo  OSAKA ELECTRO-COMMUNICATION UNIVERSITY DEPARTMENT OF APPLIED ELECTRONICS PROFESSOR, 工学部, 教授 (90113133)

Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1993: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1992: ¥1,400,000 (Direct Cost: ¥1,400,000)
KeywordsComputational Geometry / Algorithm / Computational Complexity / Computer Graphics / Integer Programming / アルゴリズム設計 / グリッド幾何 / 幾何学的変換 / 整数計画問題 / ユークリッドの互除法
Research Abstract

In this research we have developed efficient algorithms for reporting all the grid points within a given convex polygon in optimal time and also applied the algorithm for two-dimensional integer programming. We have also implemented those algorithms using C language and evaluated their practical efficiencies.
The results were quite satisfactory. We further extended the similar idea to some other problems : digital halftoning of pictures of multiple brightness levels and that of detecting all possible digital components of a specified curve in a digital picture.

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (23 results)

All Other

All Publications (23 results)

  • [Publications] N.Kanamaru,T.Nishizeki,T.Asano: "Efficient Enumeration of Grid Points in a Polygon and its Application to Integer Programming" International Journal of Computational Geometry and Applications. (採録決定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Asano,T.Tokuyama: "Algorithms for Projecting Points to Give the Most Uniform Distribution with Applications to Hashing" Algorithmica. 9. 572-590 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Asano,T.Tokuyama: "Partial Construction of an Arrangement of Lines and its Application to Optimal Partitioning of Bichromatic Point Set" 電子情報通信学会論文誌(E). (採録決定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Asano,A.Hasegawa,T.Roos,D.Ranjan: "Optimal and Approximate Digital Halftoning Algorithms and Their Experimental Evaluation" Proc.of Asian Conference on Computer Vision. 23-25 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Asano,N.Katoh: "Number Theory Helps Line Detection in Digital Images" Proc.of International Symposium on Algorithms and Computation. 313-322 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Asano,T.Tokuyama: "Circuit Partitioning Algorithms Based on Geometry Model" “Algorithmic Aspects of VLSI Layout",Ed.by D.T.Lee and M.Sarrafzadeh. 199-212 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] ""Algorithms for Projecting Points to Give the Most Unifrom Distribution with Applications to Hashing"" Algorithmica. vol.9. 572-590 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Tetsuo Asano and Takeshi Tokuyama: ""Circuit Partitioning Algorithms Based on Geometry Model"" "Algorithmic Aspects of VLSI Layout", edited by D.T.Lee and M.Sarrafzadeh, World Scientific Publishing Co.199-212 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Kanamaru, T.Nishizeki and T.Asano: ""Efficient Enumeration of Grid Points in a Polygon and its Application to Integer Programming"" Proc.of International Conference on Integer Programming and Combinatorial Optimization. 61-71 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Asano and N.Katoh: ""Number Theory Helps Line Detection in Digital Images"" Proc.International Symposium on Algorithms and Computation. (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Asano, A.Hasegawa, D.Ranjan and T.Roos: ""Optimal and Approximate Digital Halftoning Algorithms and Their Experimental Evaluation"" Proc.of Asian Conference on Computer Vision. 23-25 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Asano and T.Tokuyama: ""Partial Construction of an Arrangement of Lines and its Application to Optimal Partitioning of Bichromatic Point Set"" Trans.of IEICE of Japan. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Kanamaru, T.Nishizeki and T.Asano: ""Efficient Enumeration of Grid Points in a Polygon and its Application to Integer Programming"" International Journal of Computational Geometry and Applications.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Kanamaru,T.Nishizeki,T.Asano: "Efficient Enumeration of Grid Points in a Polygon and its Application to Integer Programming" Proc.2nd Integer Programming and Combinatorial Optimiqation Cnference. 61-71 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Asano,T.Tokuyama: "Cicruit Partitioning Algorithm Based on Geonetry Model" “Algorithmic Aspects of ULSI Layout"Ed.by D.T.Lee and Sarraf_2adeh. 199-212 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Asano N.Katoh: "Number Theory Helps Line Detection in Digital Image" Proc.International Symposium on Algorithms and Computation. 313-322 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Asano,A.Hasegawa,T.Roos,D.Ranjan: "Optimal and Approximate Digital Hattoning Algorithms and their Experimental Evaluation" Proc,Asian Cmference on Computer Vision. 23-25 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Asano T.Tokuyama: "Algorithms for Projecting Points to Give the Most Uniform Distribution with Applications to Hashing" Algorithmica. 9. 572-590 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] N.Kanamaru,T.Nishizeki,T.Asano: "Efficient Enumeration of Grid points in a Polygon and its Application to Integer Programming" International Journal of Computational Geometry and Applications. (採録決定).

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Asano T.Tokuyama: "Partial Construction of an Arrangement of Lines and its Application to Optimal Partitioning of Bichromatic Point Set" 電子情報通信学会論文誌(E). (採録決定).

    • Related Report
      1993 Annual Research Report
  • [Publications] 浅野,哲夫: "データ構造" 近代科学社, 195 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] N.Kanamaru,T.Nishizeki,T.Asano: "Efficient Enumeration of Grid Points in a Polygon and Its Application to Integer Programming." Proc.Integer Programming and Cominatorial Optimization. (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 浅野 哲夫: "データ構造" 近代科学社, 195 (1992)

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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