I am dealing with an image restoration problem with noisy measurement. I use the classical total variation norm to remove the noise, specifically, the TV-$L_2$ problem. I used the famous Lena image for testing (size $256\times 256)$.
The result is attached below:
As can be seen, there are some dot-patterns like noise still existing in the denoise image. When I increase the coefficient for TV norm, the whole image becomes blurred and details are lost.
Could anyone tell me how to deal with these local non-uniform noise patterns? It seems that they are bandpass patterns.
P.S. I am dealing with an image reconstruction problem named phase retrieval with noisy measurements. The measurements are collected via practical devices. I use the TV norm as the regularization term to improve the reconstruction performance. However, the non-uniform artifacts appear in the reconstructed image (see above). So are there some denoising algorithms that could deal with this situation? I adopt an optimization framework that can treat the proximal operator as a denoising problem. So I just focus on the denoising problem.