A non-linear complex diffusion based filter adapted to Rayleigh’s speckle noise for de-speckling ultrasound images
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"A non-linear complex diffusion base..." refers background or methods in this paper
...Therefore, to overcome the diffi culty associated with isotropic diffusion, in this paper, it is proposed to use diffusion-based adaptive fi lters (Perona and Malik, 1990; Gilboa et al., 2004)....
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...Some popular methods are simple averaging (Jain, 2006), least mean squares (Gonzalez and Wintz, 1987; Jain, 2006), Weiner fi ltering (Jain, 2006), wavelet-based de-noising (Donoho and Johnstone, 1994), anisotropic diffusion-based techniques (Perona and Malik, 1990), the total variation (TV)-based approach (Rudin et al....
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...Substituting the φ(||∇I||) with Perona and Malik’s (1990) energy functional ||∇I|| in equation (4), it reads...
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...The diffusion coeffi cient c is defi ned as follows (Perona and Malik, 1990):...
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...The one suitable choice for the energy term φ(||∇I||) based on the energy functional defi ned by Perona and Malik (1990) for deriving an anisotropic diffusion-based fi lter is:...
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"A non-linear complex diffusion base..." refers background or methods in this paper
..., 1982), the Kuan fi lter (Kuan and Sawchuk, 1987) and the Speckle Reducing Anisotropic Diffusion (SRAD) fi lter (Yu and Acton, 2002)....
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...Further, k can be approximated as a negative exponential distribution (Yu and Acton, 2002):...
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..., 1982), the Kuan fi lter (Kuan and Sawchuk, 1987) and the (SRAD) fi lter (Yu and Acton, 2002)....
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...The performances of the proposed method compared to other methods available in the literature (Lee, 1981, 1983; Frost et al., 1982; Kuan et al., 1987; Yu and Acton, 2002) have been compared in terms of MSE, PSNR, CP and MSSIM for varying amounts of speckle noise variance....
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