A fast landweber-like iterative algorithm for image deblurring

In this paper, we propose a fast iterative algorithm for restoring images blurred by symmetric PSF under reflecting boundary condition. By re-blurring blurred image, the algorithm is applicable even if PSF is weakly symmetric or nonsymmetric. We transform image restoration into circular deconvolution problem. The deconvolution problem is ill-posed, a fast convergent method of iterated regularization for ill-posed problems is introduced, we apply the method of iterated regularization to deconvolution problem. By fast discrete Fourier transform, we give the fast iterative algorithm image deblurring. Numerical experiments are given to illustrate the efficiency of our algorithm.