A new reweighted l1 minimization algorithm for image deblurring

In this paper, a new reweighted l 1 minimization algorithm for image deblurring is proposed. The algorithm is based on a generalized inverse iteration and linearized Bregman iteration, which is used for the weighted l 1 minimization problem min u ∈ R n { ∥ u ∥ ω : A u = f } . In the computing process, the effective using of signal information can make up the detailed features of image, which may be lost in the deblurring process. Numerical experiments confirm that the new reweighted algorithm for image restoration is effective and competitive to the recent state-of-the-art algorithms.