Weighted Norm Sparse Error Constraint Based ADMM for Image Denoising

Algorithm 1

Image denoising by WPNSEC.

Require: Noisy image Y.

Ensure: Denoised image .

 1: Initialization: , c, , ;

 2: For  t = 0, 1, , do

 3:   Set ;

 4:   Extract local image patches () from

    the noise image ;

 5:   For each local image patch do

 6:     The nonlocal similar patches are searched

      by Euclidean distance;

 7:     Stack similar patches form a noisy similar

      patch group ;

 8:     Update by GST algorithm;

 9:     Update by surrogate algorithm;

 10:    Update by Eq. (9);

 11:  End for

 12:  Aggregate to form the clean image ;

 13: End for

 14: Return The denoised image ;