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Fractal patterns in nature and feelings

Research Project

Project/Area Number 10835006
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 感性工学
Research InstitutionTokyo Medical and Dental University

Principal Investigator

MATSUO Takashi  Tokyo Medical and Dental University, Medical Research Institute, Associate Professor, 難治疾患研究所, 助教授 (00165771)

Co-Investigator(Kenkyū-buntansha) YAMAMOTO Keijiro  Kanagawa Institute of Technology, Faculty of Engineering , Department of Mechanical Engineering, Professor, 工学部, 教授 (00257411)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 1999: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1998: ¥2,200,000 (Direct Cost: ¥2,200,000)
Keywordsfractal / Electro-encephalogram / feelings / spectol analysis
Research Abstract

A number of natural patterns and objects have been reported to be fractal. It is often the projection of fractals which is of interest or can be studied experimentally. The spatial distributions of tree branches, leaves and petals were photographed, and the pictures were traced accurately using a profile projector. The traced patterns were digitized into 1024X1024 pixels using a computer assisted CCD camera system or a image scanner. The scale invariance of the pattern was tested by the box-counting method. The 2-dimensional projections of Keyaki leaves, Sakura blossom and red (yellow) leaves of autumn have been found to show a fractal nature over 2 orders of scale length. Three photographs selected as most beautiful scenery by thirty volunteers were subjected to the fractal analysis, and they have been found to show scale invariance over a wide length scale. Thus, the scale invariance of natural patters might be related to our feelings of beauty and/or comfort when observing them.
We also applied a new method to detect our feelings or emotion by measurement of electro-encephalogram (EEG). In this method, a set of data-base of EEG spectrum for emotion or feelings (anger, delight, sadness, stress, relax etc) for individual person was pre-created by the FFT analysis. Measured EEG spectra under specific condition were then analyzed based upon the data-base. The application of this method to the analysis for the EEG of person viewing natural beauty is in under way.

Report

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

    (4 results)

All Other

All Publications (4 results)

  • [Publications] 山本圭治郎: "物体把握における感性評価と脳波計測"計測自動制御学会・第15回センシングフォーラム論文集. 77-81 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 松尾崇: "自然界のフラクタルパターンと感性"難治疾患研究所年報. 27(発表予定). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 山本圭治郎: "物体把握における感性評価と脳波計測"計測自動制御学会・第15回センシングフォーラム論文集. 77-81 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 松尾崇: "自然界のフラクタルパターンと感性"難治疾患研究所年報. 27(発表予定). (2000)

    • Related Report
      1999 Annual Research Report

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

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