Image Denoising Using Sparsifying Transform Learning and Weighted Singular Values Minimization

Algorithm 1

Efficient Solution of STLWSM.

	Input: is the noisy image with size , p is the patch size, M is the number of similar patches, initial sparsity, and ,, and are the constants.
Output: is the denoised image
Initialization: Wi is the DCT matrix of size , and is the number of similar patches’ group.
For iteration = 1 : 3
Do:
For each group calculate
(1)	Transform domain:(a)Decompose the image X into the patch form X ’.(b)Compute by .(c)Update by .
(2)	Image domain:(a)Compute by SVD .(b)Compute .(c)Compute .
End.
(3)	Image reconstruction.