Equation of Rayleigh Noise Reduction Model for Medical Ultrasound Imaging: Symmetry Classification, Conservation Laws and Invariant Solutions

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Authors

  • J. Tanthanuch School of Mathematics, Institute of Science, Author
  • E.I. Kaptsov School of Mathematics, Institute of Science,; Keldysh Institute of Applied Mathematics, Author
  • S.V. Meleshko School of Mathematics, Institute of Science, Author

DOI:

https://doi.org/10.5890/JVTSD.2021.09.004

Abstract

Medical ultrasound imaging provides images of the internal body for diagnosis. Speckle noise is a major problem degrading image quality. In this paper, a wide class of noise reduction models is considered from the group analysis point of view. Group classification is performed, and conservation laws and invariant solutions of the studied equation are presented.

References

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PublishedSeptember 2021

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How to Cite

Tanthanuch, J., Kaptsov, E., & Meleshko, S. (2026). Equation of Rayleigh Noise Reduction Model for Medical Ultrasound Imaging: Symmetry Classification, Conservation Laws and Invariant Solutions. Journal of Vibration Testing and System Dynamics, 5(3), 237-247. https://doi.org/10.5890/JVTSD.2021.09.004