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Quantitative analysis on micro-fluctuation of several bowls by scanning laser microscope

T. SAKAI1,* , S. KASAI2, K. YAMAMOTO3

Affiliation

  1. Department of Mechanical Engineering, Takamatsu National College of Technology, 355 Chokushi, Takamatsu, Kagawa 761-8058 Japan
  2. Advanced Course of Takamatsu National College of Technology, 355 Chokushi, Takamatsu, Kagawa 761-8058 Japan
  3. TADANO Ltd., 2217-13 Hayashi, Takamatsu, Kagawa 761-0301 Japan

Abstract

Relaxation, fluctuation and surface irregularities of a famous potter’s bowl and other objects were evaluated with an analytical procedure developed by applying fractal concepts and the Richardson effect. Important results of this study can be summarized as follows. (1) An analytical system using a scanning laser microscope system was developed to evaluate the irregular surface of fluctuations quantitatively; an analytical procedure to develop the Mesh method was established. (2) Irregular surfaces in micro areas of the analyzed objects have a fractal nature: (a) the famous potter’s bowl, (b) the original handmade bowl, (c) the original handmade coffee cup, and (d) the Black teacup. (3) The famous potter’s bowl has a fractal nature and relative self-similarity over wide analytical ranges. (4) Fractal dimensions and the nature of relaxation were connected as D=2.40. This value is useful for application to the design of a mechanical structure in later studies.

Keywords

Fractal, Laser-aided diagnostics, Shape measurement, Image processing, Surface roughness, Fractal dimension, Richardson effect, Geometrical irregularity, Relaxation, Transcription.

Citation

T. SAKAI, S. KASAI, K. YAMAMOTO, Quantitative analysis on micro-fluctuation of several bowls by scanning laser microscope, Optoelectronics and Advanced Materials - Rapid Communications, 3, 1, January 2009, pp.69-74 (2009).

Submitted at: Nov. 20, 2008

Accepted at: Jan. 21, 2009