“…A wide range of approaches has been proposed to remove additive Gaussian noise [ 4 , 5 , 6 ]. However, many other noises, such as impulse noise [ 7 , 8 , 9 , 10 , 11 , 12 ], multiplicative noise [ 13 , 14 ], Poisson noise [ 15 , 16 , 17 ], Cauchy noise [ 18 , 19 ], and Rician noise [ 20 ], commonly appear in the real world and thus are studied by many researchers. Another impulsive noise is often caused by alpha-stable noise, which normally appears in many applications, such as wireless communication systems, synthetic aperture radar (SAR) images, biomedical images, and medical ultrasound images [ 21 , 22 ].…”