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Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland


C. Steve Suh (editor)

Texas A&M University, USA


Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China


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) (2021) 237--247 | DOI:10.5890/JVTSD.2021.09.004

J.Tanthanuch$^1$, E.I.Kaptsov$^{1,2}$, S.V. Meleshko$^1$

$^1$ School of Mathematics, Institute of Science, Suranaree University of Technology, 30000, Thailand

$^2$ Keldysh Institute of Applied Mathematics, Russian Academy of Science, Miusskaya Pl. 4, Moscow, 125047, Russia

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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.


E.I.K. acknowledges Suranaree University of Technology for Full-time Master Researcher Fellowship (15/2561). J.T. acknowledges support by the Center of Excellence in Biomechanics Medicine, Suranaree University of Technology, Thailand. The authors thank E.Schulz for valuable discussions.


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