Weighted Norm Sparse Error Constraint Based ADMM for Image Denoising

Algorithm 3

Colour image denoising by multichannel WPNSEC.

Require: Noisy image Y, and .

Ensure: Denoised image .

 1: Initialization: ;

 2: For   do

 3:   Set ;

 4:   Extract a local image patches from the noise image ;

 5:   For each local patch do

 6:     The non-local similar patches are searched by Euclidean distance;

 7:     Stack similar patches form a cross-channel noisy patch group ;

 8:     Update by WPNSEC model;

 9:     Apply Eq. (4) to solve and obtain the estimation ;

 10:  End for

 11:  Aggregate to form the clean image ;

 12: End for

 13: Return The denoised image ;