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The Scientific World Journal
Volume 2014, Article ID 435935, 10 pages
Research Article

Surface Evaluation by Estimation of Fractal Dimension and Statistical Tools

1Department of Glass Producing Machines and Robotics, Technical University of Liberec, Studentská 1402/2, 461 17 Liberec, Czech Republic
2Department of Mathematics and Didactics of Mathematics, Technical University of Liberec, Studentská 1402/2, 461 17 Liberec, Czech Republic

Received 23 May 2014; Revised 4 July 2014; Accepted 17 July 2014; Published 27 August 2014

Academic Editor: M. Chadli

Copyright © 2014 Vlastimil Hotar and Petr Salac. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Structured and complex data can be found in many applications in research and development, and also in industrial practice. We developed a methodology for describing the structured data complexity and applied it in development and industrial practice. The methodology uses fractal dimension together with statistical tools and with software modification is able to analyse data in a form of sequence (signals, surface roughness), 2D images, and dividing lines. The methodology had not been tested for a relatively large collection of data. For this reason, samples with structured surfaces produced with different technologies and properties were measured and evaluated with many types of parameters. The paper intends to analyse data measured by a surface roughness tester. The methodology shown compares standard and nonstandard parameters, searches the optimal parameters for a complete analysis, and specifies the sensitivity to directionality of samples for these types of surfaces. The text presents application of fractal geometry (fractal dimension) for complex surface analysis in combination with standard roughness parameters (statistical tool).