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Estimation of Fractal Dimension and Statistical Tools for Surface Evaluation

  • Conference paper
Book cover Nostradamus 2014: Prediction, Modeling and Analysis of Complex Systems

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 289))

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Abstract

Fractal geometry is a useful tool for describing the complexity of structured data. However, fractal geometry does not substitute for other tools like statistics and should be used with other parameters for general analysis. Hence, the sensitivity to changes in complex data is studied here. For this purpose, samples with structured surfaces produced with different technologies and properties were measured and evaluated with many types of parameters. The parameters were compared and a selection of the results is presented in this article.

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Author information

Authors and Affiliations

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

    Vlastimil Hotař & Ondřej Matúšek

  2. Department of Mathematics and Didactics of Mathematics, Technical University of Liberec, Studentská 1402/2, 461 17, Liberec 1, Czech Republic

    Petr Salač

Authors
  1. Vlastimil Hotař
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  2. Petr Salač
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  3. Ondřej Matúšek
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Corresponding author

Correspondence to Vlastimil Hotař .

Editor information

Editors and Affiliations

  1. Department of Computer Science, VŠB-TUO, Ostrava-Poruba, Czech Republic

    Ivan Zelinka

  2. Nanyang Technological University, Singapore, Singapore

    Ponnuthurai Nagaratnam Suganthan

  3. Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China

    Guanrong Chen

  4. Department of Computer Science, VŠB-TUO, Ostrava-Poruba, Czech Republic

    Vaclav Snasel

  5. Scientific Network for Innovation and Research Excellence, Machine Intelligence Research Labs (MIR Labs), Auburn, Washington, USA

    Ajith Abraham

  6. Institute for Physical and Theoretical Chemistry, University of Tübingen, Tübingen, Baden-Württemberg, Germany

    Otto Rössler

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© 2014 Springer International Publishing Switzerland

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Hotař, V., Salač, P., Matúšek, O. (2014). Estimation of Fractal Dimension and Statistical Tools for Surface Evaluation. In: Zelinka, I., Suganthan, P., Chen, G., Snasel, V., Abraham, A., Rössler, O. (eds) Nostradamus 2014: Prediction, Modeling and Analysis of Complex Systems. Advances in Intelligent Systems and Computing, vol 289. Springer, Cham. https://doi.org/10.1007/978-3-319-07401-6_5

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  • DOI: https://doi.org/10.1007/978-3-319-07401-6_5

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07400-9

  • Online ISBN: 978-3-319-07401-6

  • eBook Packages: EngineeringEngineering (R0)

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