Fractional Partial Differential Equation: Fractional Total Variation and Fractional Steepest Descent Approach-Based Multiscale Denoising Model for Texture Image

Figure 6

Denoising effects of abdomen MRI of texture-rich internal organ, when Gaussian noise is very strong. (a) Original clean MRI, (b) noisy image (adds white Gaussian noise to the original clean MRI, PSNR=5.4389), (c) denoised image of bilateral filtering denoising [88, 89, 93], (d) partial enlarged details of 1/4 party of (c) red box, (e) denoised image of wavelet denoising [88, 91], (f) partial enlarged details of 1/4 party of (e) red box, (g) denoised image of NLMF denoising [94, 95], (h) partial enlarged details, 1/4 party of (g) red box, (i) denoised image of FDM denoising (𝑣₁=1.75, 𝑣₂=2.75, 𝑣₃=1.05, Δ𝑡=5×10⁻⁶), (j) partial enlarged details of 1/4 party of (i) red box, (k) denoised image of FDM denoising (𝑣₁=2.25, 𝑣₂=2.5, 𝑣₃=1.25, Δ𝑡=5×10⁻⁶), and (l) partial enlarged details of 1/4 party of (k) red box.

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