A Decomposition and Noise Removal Method Combining Diffusion Equation and Wave Atoms for Textured Images

Figure 8

Details of final step 6. (a) Input image $u$, (b) texture $\tilde{v}$, (c) recovered image $\tilde{h}$, obtained by the addition of $u$ to $\tilde{v}$, and (d) residual $w$ containing noise and small details of observed image $f$. Here, the reconstruction process of each component validates the decomposition of three terms $f=\tilde{h}+w=u\hspace{0.17em}+\hspace{0.17em}\tilde{v}\hspace{0.17em}+\hspace{0.17em}w$.

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