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New Effective Filter in the Spatial Domain for Speckle Noise Reduction

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Nanomaterials and Nanocomposites, Nanostructure Surfaces, and Their Applications

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 246))

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Abstract

In this paper, we present a new method for filtering phase fringe patterns in the spatial domain by Chebyshev polynomials of the first kind. With numerical experiments, we determined the optimal number of Chebyshev polynomials for representing the continuous components of the phase map as the sum of polynomials. The accuracy of the proposed filter was determined by filtering a series of difference phase maps of the deformation of a rough object obtained by a computer model. The result was compared with a filter working in the frequency domain.

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Author information

Authors and Affiliations

  1. Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Naukova Str. 5, 79000, Lviv, Ukraine

    Yu. Kotsiuba

  2. Department of Photonics, Lviv Polytechnic National University, S. Bandera Str. 12, 79013, Lviv, Ukraine

    V. M. Fitio, H. Petrovska & Ya. V. Bobitski

  3. Faculty of Mathematics and Natural Sciences, University of Rzeszow, Pigonia Str.1, 35959, Rzeszow, Poland

    Ya. V. Bobitski

Authors
  1. Yu. Kotsiuba
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  2. V. M. Fitio
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  3. H. Petrovska
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  4. Ya. V. Bobitski
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Corresponding author

Correspondence to H. Petrovska .

Editor information

Editors and Affiliations

  1. National Academy of Sciences of Ukraine, Institute of Physics, Kyiv, Ukraine

    Olena Fesenko

  2. National Academy of Sciences of Ukraine, Institute of Physics, Kyiv, Ukraine

    Leonid Yatsenko

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Kotsiuba, Y., Fitio, V.M., Petrovska, H., Bobitski, Y.V. (2021). New Effective Filter in the Spatial Domain for Speckle Noise Reduction. In: Fesenko, O., Yatsenko, L. (eds) Nanomaterials and Nanocomposites, Nanostructure Surfaces, and Their Applications . Springer Proceedings in Physics, vol 246. Springer, Cham. https://doi.org/10.1007/978-3-030-51905-6_14

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