A new algorithm based on linearized Bregman iteration for image deblurring

A new chaotic iteration for image deblurring was proposed. The algorithm was obtained based on A⁺linearized Bregman iteration with soft thresholding operator, and combined with generalized inverse iterative formula. Taking full consideration of the effective use of detail information, the algorithm can compensate for the loss of image detail features which is filtered to deblur in each iteration, and achieve effectively filtering. At the same time, a balance between computation time and the recovery effect is considered. The numerical experiments furtherly show that the method can improve computation efficiency and image recovery effect, especially the recovery of the detail features and sparse texture.