Abstract
The continuous growth of competitive pressure to increase the quality of products necessitates the requirement for objective measurement and control methods for materials, processes and productions. However, many structures (e.g. defects, surfaces, cracks, time series from dynamic processes) can hardly be described by conventional methods because they are complex and irregular. A new approach is the application of fractal geometry that is successfully used in science. Even though applications in industry are only sporadic and experimental, fractal geometry in connection with statistics can be used as a useful and powerful tool for an explicit, objective and automatic description of production process data (laboratory, off-line and potentially on-line). Despite the fact that this research focuses on data from the glass industry, the methodology and principles for data evaluation from industry can be applied to industry generally.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Mandelbrot, B.B.: The fractal geometry of nature. W. H. Freeman and Co., New York (1982)
Peitgen, H.O., Juergens, H., Saupe, D.: Chaos and Fractals: New Frontiers of Science. Springer, Heidelberg (1992)
Evertsz, C.J.G., Peitgen, H.O., Voss, R.F.: Fractal Geometry and Analysis. World Scientific Publishing Co.Pte. Ltd., Singapore (1996)
Levy, V.J., Lutton, E., Tricot, C.: Fractals in Engineering. Springer, Heidelberg (1997)
Hotař, V.: Methodology of Industrial Data Description Using Fractal Geometry (In Czech language.) Technical university of Liberec, Liberec (2008)
Philpott, D., Barnard, H.D., Bullen, P.: Some Fractal Measures Used with the Noviscam Project. In: Proceedings: ISQVPFD 2000, Faculty of Mechanical engineering, Ljubljana (2000)
Hotař, V., Novotný, F.: Some Advanced Analyse for Quality Monitoring. In: Proceedings: 21st International Congress on Glass. International Commission on Glass, Strasbourg (2007)
Zmeska, O., Nezadal, M., Buchnicek, M., Sedlak, O.: HarFA and HarFA: e-journal (2002), http://www.fch.vutbr.cz/lectures/imagesci (accessed May 30, 2012)
Hotar, V., Novotny, F.: Evaluation of Surface Defects by Fractal Geometry and Statistical Analysis. Glastech Ber. Glass Sci. Technol. 77 C, 230–237 (2004)
Hotař, A., Kratochvíl, P.: The corrosion resistance of iron aluminide Fe28Al3Cr0.02Ce (at%) in molten glass. Intermetallics 15, 439–441 (2007)
Hotař, V., Novotný, F.: Surface Profile Evaluation by Fractal Dimension and Statistic Tools. In: Proceedings: 11th International Conference on Fracture, p. 588. CCI Centro Congressi Internazionale s.r.l., Turin (2005)
Hotař, A., Kratochvíl, P., Hotař, V.: The Corrosion Resistance of Fe3Al Based Iron Aluminides in Molten Glasses. Kov Materiály - Met Mater, 247–252 (2009)
Sonka, M., Hlavac, V., Boyle, R.: Image Processing, Analysis, and Machine Vision. Books/Cole Publishing Company, Pacific Grove (1998)
Seul, M., O’Gorman, L., Sammon, M.J.: Practical algorithms for image analysis: description, examples, and code. Cambridge University Press, New York (2005)
Hotař, V., Novotný, F., Reinischová, H.: Objective evaluation of corrugation test. Glass Technology: Eur. J. Glass Sci. Technol. Part A 52(6), 197–202 (2011)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hotař, V. (2013). Possibilities of Industrial Data Description Using Fractal Geometry. In: Zelinka, I., Rössler, O., Snášel, V., Abraham, A., Corchado, E. (eds) Nostradamus: Modern Methods of Prediction, Modeling and Analysis of Nonlinear Systems. Advances in Intelligent Systems and Computing, vol 192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33227-2_15
Download citation
DOI: https://doi.org/10.1007/978-3-642-33227-2_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33226-5
Online ISBN: 978-3-642-33227-2
eBook Packages: EngineeringEngineering (R0)