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Wavelet Analysis of Ceramic Surface Images as a Method for Measuring the Size of Structural Elements

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Measurement Techniques Aims and scope

The problem of the possibility of visualizing multiscale phenomena developing on the surface of a ceramic material, which is characterized by a high dispersion of structural elements, is important for modern materials science. The relevance of using wavelet analysis to visualize and measure the structural elements of the surface of ceramic samples is shown. The experimental results of processing images of the surface of samples using wavelet analysis are presented. Examples of applying the wavelet transform to the study of model “chessboard” images with simple geometry and precisely known sizes of structural elements are observed. A relation that relates the particle size to the scale parameter of the wavelet spectrum is derived. A simple method for recording and quantifying the structural changes occurring in highly dispersed ceramic samples under the influence of a microwave field is proposed. The effect of reducing the size of structural elements (particles) of the surface of such ceramic samples influenced by microwave radiation by an average of 20% is discovered. The surface of such samples becomes more uniform, which is extremely promising for the development of technology for producing finely dispersed ceramic materials.

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References

  1. A. G. Kolmakov, K. A. Solntsev, P. A. Vityaz’, et al., “Systematic description of nanomaterial structure,” Materialovedenie, No. 9, 37–45 (2012).

  2. S. S. Dobrotvorsky, E. V. Basova, and A. A. Repeta, “Prospects for the use of wavelet analysis to ensure the quality of processed surfaces,” Vestn. NTU KhPI, Ser. Inform. Modelir., No. 13, 75–82 (2011).

  3. R. S. Akhmetkhanov, “Application of wavelet analysis and fractal theory in the microsections images research,” Zavod. Lab. Diagn. Mater., 81, No. 3, 31–37 (2015).

    Google Scholar 

  4. V. E. Makhov, “Use of wavelet analysis algorithms in the research of the kinetics of the formation of powder-firing coatings,” Konstr. Kompoz. Mater., No. 3, 28–36 (2010).

  5. A. G. Chetverikova, O. N. Kanygina, M. M. Filyak, and E. S. Savinkova, “Physical optics methods of recording weak structural responses of dispersed clay systems to the effect of microwave radiation,” Izmer. Tekhn., No. 11, 27–31 (2017).

  6. M. M. Filyak, A. G. Chetverikova, and O. N. Kanygina, “Determination of the dimensions of structural elements on the condensed matter surface by wavelet-transformation of generated optical images,” Kondens. Sredy Mezhfazn. Gran., 20, No. 1, 156–164 (2018).

    Google Scholar 

  7. A. G. Kolmakov and A. A. Zverev, “Application of modern mathematical methods for a systematic description of the structures of materials,” in: Collection of Articles Dedicated to the 70th Anniversary of the Baikov Institute of Metallurgy and Materials Science, Interkontakt Nauka, Moscow (2008), pp. 660–675.

  8. N. M. Astaf’eva, “Wavelet analysis: Fundamentals of the theory and examples of application,” Usp. Fiz. Nauk, 166, No. 11, 1145–1170 (1996).

    Article  Google Scholar 

  9. A. G. Kolmakov, A. A. Zverev, M. L. Kheifets, and S. V. Kukhta, “Informational interpretation of the physicochemical, multifractal, and wavelet analysis of the structure and relief of friction surfaces,” Vestn. Polotsk. Gos. Univ., Ser. C, Fund. Nauki, Informat., No 12, 20–29 (2011).

  10. A. Arnéodo, N. Decoster, and S. G. Roux, Eur. Phys. J. B, 15, 567–600 (2000), DOI: https://doi.org/10.1007/s100510051161.

    Article  ADS  Google Scholar 

  11. E. S. Mashkina and M. V. Grechkina, “Analysis of the stability and adaptability of structured transitional phases during melting of germanium,” Kondens. Sredy Mezhfazn. Gran., 15, No. 1, 28–33 (2013).

    Google Scholar 

  12. A. G. Chetverikova, M. M. Filyak, and O. N. Kanygina, Cerâmica, 64, No. 371, 367–372 (2018), DOI: https://doi.org/10.1590/0366-69132018643712354.

    Article  Google Scholar 

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Correspondence to M. M. Filyak.

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Translated from Izmeritel’naya Tekhnika, No. 2, pp. 50–54, February, 2020.

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Filyak, M.M., Chetverikova, A.G., Kanygina, O.N. et al. Wavelet Analysis of Ceramic Surface Images as a Method for Measuring the Size of Structural Elements. Meas Tech 63, 130–134 (2020). https://doi.org/10.1007/s11018-020-01761-9

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  • DOI: https://doi.org/10.1007/s11018-020-01761-9

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