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

Figure 7

Denoising effects of meteorite crater texture-rich moon satellite remote sensing image, when white Gaussian noise, salt, and pepper noise and speckle noise are added together. (a) Original clean image, (b) noisy image (adds white Gaussian noise (its standard variance is 0.02), salt and pepper noise (its noise density is 0.2), and speckle noise (its standard variance is 0.1) to the original clean image, PSNR=8.8564), (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 [92, 93], (f) partial enlarged details of 1/4 party of (e) red box, (g) denoised image of NLMF denoising [94, 95], (h) partial enlarged details of 1/4 party of (g) red box, (i) denoised image of FDM denoising (𝑣₁=1.75, 𝑣₂=2.75, 𝑣₃=1.05, and Δ𝑡=10⁻¹⁰), (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, and Δ𝑡=10⁻¹⁰), and (l) Partial enlarged details of 1/4 party of (k) red box.

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