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Wavelet filtration of noisy images

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Abstract

Methods of noisy image filtration using wavelet transforms with real and complex basis sets have been compared. It is shown that the use of a complex wavelet transform provides more effective filtration and admits automatic optimization of the filter parameters. Optimized choice of the threshold level during filtration based on a complex wavelet transform significantly decreases the error of image reconstruction as compared to that achieved with a standard method of discrete wavelet transform employing basis sets of the Daubechies wavelet family.

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Authors and Affiliations

  1. Saratov State University, Saratov, 410012, Russia

    A. S. Yaseen, O. N. Pavlova & A. N. Pavlov

  2. University of Technology, Baghdad, Iraq

    A. S. Yaseen

  3. Kotel’nikov Institute of Radio Engineering and Electronics (Saratov Branch), Russian Academy of Sciences, Saratov, 410019, Russia

    A. N. Pavlov

Authors
  1. A. S. Yaseen
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  2. O. N. Pavlova
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  3. A. N. Pavlov
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Correspondence to A. N. Pavlov.

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Original Russian Text © A.S. Yaseen, O.N. Pavlova, A.N. Pavlov, 2016, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 42, No. 2, pp. 50–56.

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Yaseen, A.S., Pavlova, O.N. & Pavlov, A.N. Wavelet filtration of noisy images. Tech. Phys. Lett. 42, 82–84 (2016). https://doi.org/10.1134/S1063785016010326

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  • DOI: https://doi.org/10.1134/S1063785016010326

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