Surface Profile Evaluation by Fractal Dimension and Statistic Tools Using Matlab

  • Hotar V
  • Hotař A
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Abstract

A lot of natural structures in industry applications can be hardly described by conventional methods � statistic tools, because they are complex and irregular. A relatively new approach is the application of fractal geometry that is successfully used in science, but an application in industry is sporadic and experimental only. However, the fractal geometry can be used as a useful tool for an explicit, objective and automatic description of production process data (laboratory, off-line and potential on-line). Industrial data (from production processes, quality control, production tools, etc.) may have a form of digitalized pictures, time series or a topologically one-dimensional interface (especially a surface roughness or a surface profile). The data in a digital form can be described by the fractal geometry, which expressing the complexity degree of structured data (ideally) by means of a single number, the fractal dimension. On this account, we are developing three off-line software tools that can be converted to on-line control tools in the future. The article is intended only on application of the fractal geometry with combination of statistic tool for the classification of dividing lines (a surface profile or a surface roughness evaluation) with example from glass industry.

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  • SGR: 84869843705
  • SCOPUS: 2-s2.0-84869843705
  • ISBN: 9781617820632
  • PUI: 366109430

Authors

  • V Hotar

  • A Hotař

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