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A study on evaluation of natural shape lines using fractal theory and fuzzy systems theory

Research Project

Project/Area Number 10650395
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field System engineering
Research InstitutionKyushu Institute of Technology

Principal Investigator

MURAKAMI Shuta  Kyushu Institute of Technology, Faculty of Engineering, Professor, 工学部, 教授 (40039102)

Co-Investigator(Kenkyū-buntansha) SHIMAKAWA Manabu  Kyushu Institute of Technology, Faculty of Engineering, Research Associate, 工学部, 助手 (40259958)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 1999: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1998: ¥600,000 (Direct Cost: ¥600,000)
Keywordsfractal dimension / fuzzy evaluation / fuzzy inference / natural shape line / digital map / "easy-to-see" property / simplification algorithms / scale-down and simplification map / 縮小簡略図 / フラクタル理論 / ファジィルール / 地図データ
Research Abstract

1. Feature extraction of natural shape lines
If we want to make a wide range map while gathering a large number of residential maps and scaling down them directly, the obtained map will not be easy to see. Therefore, some kinds or simplification methods are required. Especially, when complicated natural shape lines like the coast lines and the lake lines are scaled down, it is necessary to simplify them while at the same time they still must be easy to see.
In this study, we first proposed a method to divide the natural shape lines into three parts with features such as "linear", "intricate" and "man-made" by using fractal analysis. Then we developed the scale-down and simplification methods according to natural shape line features mentioned above.
2. Development of scale-down and simplification methods for natural shape lines
We constructed fuzzy rules which evaluate the "easy-to-see" property of the map obtained by scaling down and simplifying the "intricate" natural shape lines. The ant … More ecedent part variables of the rules are (1) fractal dimension value of the obtained map, (2) the value of reduced scale and (3) the maximum ratio of direction between two adjacent points. These variables are divided into three parts with fuzzy labels such as "small", "medium" and "large". The consequent part variable is the evaluation value of the "easy-to-see" property and is divided seven fuzzy labels. Hence, we developed the method to determine the parameters or the simplification algorithms (Opheim algorithm and Reuman-Witkam algorithm) by using the fuzzy evaluation rules.
Even though the "linear" natural shape lines are scaled down and simplified, the evaluation of the "easy-to-see" property scarcely changes. Therefore, the parameters of the simplification algorithms are to be fixed at the standard values. To the "man-made" shape lines the simplification is not to be applied.
Finally, we could develop the scale-down and simplification method for the natural shape lines while the obtained map is easy to see. Less

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (10 results)

All Other

All Publications (10 results)

  • [Publications] 井上和典、村上周太: "フラクタル理論とファジィ理論を用いた自然形状線の評価"第14回ファジィシステムシンポジウム講演論文集. 851-852 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 井上和典、村上周太: "フラクタル理論とファジィ理論を用いた自然形状線の評価"第16回計測自動制御学会九州支部学術講演会予稿集. 33-34 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 村上周太、室篤史: "フラクタル理論とファジィ理論を用いた自然形状線の縮小簡略化手法"第18回計測自動制御学会九州支部学術講演会予稿集. 337-338 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunori Inoue and Shuta Murakami: "Evaluation of the shape lines of natural formation using fractal and fuzzy theories"Proceedings of the 16th SICE Kyushu Branch Annual Conference. 33-34 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunori Inoue and Shuta Murakami: "Evaluation of the shape lines of natural formation using fractal and fuzzy theories"Proceedings of the 14th Fuzzy System Symposium. 851-852 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Shuta Murakami, Atsushi Muro and Manabu Shimakawa: "A method of reduction and simplification with fractal theory and fuzzy theory"Proceedings of the 18th SICE Kyushu Branch Annual Conference. 337-338 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 井上和典、村上周太: "フラクタル理論とファジィ理論を用いた自然形状線の評価"第16回計測自動制御学会九州支部学術講演会予稿集. 33-34 (1997)

    • Related Report
      1999 Annual Research Report
  • [Publications] 井上和典、村上周太: "フラクタル理論とファジィ理論を用いた自然形状線の評価"第14回ファジィシステムシンポジウム講演論文集. 851-852 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] 村上周太、室篤史、島川学: "フラクタル理論とファジィ理論を用いた自然形状線の縮小簡略化手法"337-338 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 村上周太: "フラクタル理論とファジィ理論を用いた自然形状線の評価" 第14回ファジィシステムシンポジウム講演論文集. 851-852 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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