Corrigendum

Abstract

1. The symbol of Figure 2b (the symbol F ̂ $\hat F$ in the former version is F, which is not precise) should be corrected. The revised version of Figure 2b is as follows: 2. In algorithm 1, initialize part, the R ( 0 ) = B − A X ( 0 ) ${R^{(0)}}{\rm{ = }} B - A{X^{(0)}}$ should be moved to the first step in algorithm 1, that is, ‘1: Compute P ( 0 ) = R ( 0 ) ${P^{(0)}} = {R^{(0)}}$ ’ should be revised as ‘1: Compute R ( 0 ) = B − A X ( 0 ) ${R^{(0)}}{\rm{ = }} B - A{X^{(0)}}$ , P ( 0 ) = R ( 0 ) ${P^{(0)}} = {R^{(0)}}$ ’. 3. In algorithm 2, the fourth step, F ( k + 1 ) = F C ( k + 1 ) + F T ( k + 1 ) ${F^{(k + 1)}}{\rm{ = }}F_C^{(k + 1)}{\rm{ + }}F_T^{(k + 1)}$ should be revised as F ̂ ( k + 1 ) = F C ( k + 1 ) + F T ( k + 1 ) ${\hat F^{(k + 1)}}{\rm{ = }}F_C^{(k + 1)}{\rm{ + }}F_T^{(k + 1)}$ , and in the 15th step, the F ( k + 1 ) ${F^{(k + 1)}}$ should be revised as F ̂ ( k + 1 ) ${\hat F^{(k + 1)}}$ . 4. Figures 5a to 5h should be replaced with the figures as follows. The partial enlarged part is the eye of Lena. What's more, the sub-title of Figure 5b should be revised as ‘Lena512’ under 20% noise level interference. 5. The title of Figure 6 ‘Dynamic iterative diagrams of the PSNR, SSIM, and GMSD values of Lena512 under different noise levels’ should be revised as ‘Dynamic iterative diagrams of the PSNR, SSIM, and GMSD values of Lena512 by different methods’. 6. In Section 4.4.3, the symbol W denotes the wavelet transform.