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DEVELOPMENT OF A GENERAL METHOD FOR DETECTING A SPECIFIED FAMILY OF CURVES IN A DIGITAL IMAGE

Research Project

Project/Area Number 06680334
Research Category

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

Allocation TypeSingle-year Grants
Research Field 計算機科学
Research InstitutionOSAKA ELECTRO-COMMUNICATION UNIVERSITY

Principal Investigator

ASANO Tetsuo  OSAKA ELECTRO-COMMUNICATION UNIVERSITY,DEPARTMENT OF ENGINEERING INFORMATICS,PROFESSOR, 情報工学部, 教授 (90113133)

Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1995: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1994: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsComputational Geometry / Pattern recognition / Algorithms / Digital lines and curves / Hough transform / 直線検出
Research Abstract

The problem of detecting all digital line components contained in a black-white image is one of the most fundamental problems in pattern recognition. In this study we have developed efficient algorithms for detecting all of digital line components. We also developed space-efficient algorithms for detecting all of digital curve components. This is the first linear-space algorithm for the purpose for detecting curve components and in addition the first to define a family of digital curves using least possible number of parameters. More concretely, key ideas are duality transform between points and lines and efficient search in an arrangment of lines. One advantage of the proposed algorithms to be distinguished from the existing ones is that they can detect all possible line and curve components satisfying the conditions without missing one. We also analyzed the computational complexity of the problem itself and algorithms to establish the optimality of the proposed algorithms. Experimental results show the practical usefullness and effectiveness of the proposed methods.

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] T. Asano, L. J. Guibas T. Tokuyama: "Walking in a Arrangement Topologically" Int. J. an Computational Geometry and Applications. 4. 123-151 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N. Kanamaru, T. Nishizeki, T. Asano: "Efficient Enumeration of Grid Points in a Convex Polygon and Its Applications to Integer Programming" Int. J. an Computational Geometry and Applications. 4. 69-86 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 浅野: "計算幾何学的手法の画像処理への応用" 画像ラボ. 29-32 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Asano, N. Katoh E. Lodi, T. Roos: "Optimal Approximation of a Curve by a Polygonal Chain with Vertices on a Grid" FORMA. 10. 133-144 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Asano, N. Katoh: "Variants for the Hough Transform for Line Detection." Computational Geometry: Theory and Applications. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Roos, T. Asano, D. Ranjan E. Welzl, P. Widmayer: "Space Filling Curves and Their Use in the Design of Geometric Pata Structures" Theoretical Computer Science. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. ASANO, N. KATOH, E. LODI, T. ROOS: "Optimal Approximation of a Curve by a Polygonal chain with Vertices an a Grid" FORMA. 10. 133-144 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T. ASANO, N. KATOH: "Variants for the Hough Transform for Line Detection" Computational Geometry: Theory and Applications. (採録決定).

    • Related Report
      1995 Annual Research Report
  • [Publications] T. Roos, T. Asano, D. Ranjan, E. Welzl, P. Widmayer: "Space Filling Cunes and Their Use in the Disign of Geometric Data Structures" Theoretical Computer Science. (採録決定).

    • Related Report
      1995 Annual Research Report
  • [Publications] T.Asano,L.J.Guibas,T.Tokuyama: "Walking in an Arrangement Topologically" International J.on Computational Geometry and Applications. 4. 123-151 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] N.Kanamaru,T.Nishizeki,T.Asano: "Efficient Enumeration of Grid Points on a Convex Polygon and its Applicutions to Integer Programming" International J.on Computational Geometry and Applications. 4. 69-86 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 浅野哲夫: "計算幾何学的手法の画像処理への応用" 画像ラボ. 29-32 (1994)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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