Image Denoising Using Singular Value Difference in the Wavelet Domain

Figure 9

(a) The noisy image (); (b) the low-frequency part of (a); (c) the horizontal part of (a); (d) the vertical part of (a); (e) the diagonal part of (a); (f) the SV of noisy horizontal part; (g) the SV of noisy vertical part; (h) the SV of noisy diagonal part; (i) the SV difference of the horizontal part; (j) the SV difference of the vertical part; (k) the diagonal SV difference; (l) the denoised SV and original SV of the horizontal part; (m) denoised SV and original SV of the vertical part; (n) the diagonal denoised SV and original SV; (o) the reconstructed horizontal part; (p) the reconstructed vertical part; (q) the reconstructed diagonal part; (r) the denoised image using the method in this paper; (s) the denoised image based on the conventional wavelet hard threshold; (t) the denoised image based on the conventional wavelet soft threshold; (u) the denoised image based on the conventional SVD; (v) the denoised image using the method in [15]; (w) the denoised image using the method in [19] for hard thresholding; (x) the denoised image using the method in [19] for soft thresholding.

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