Edge Adaptive Hybrid Regularization Model For Image Deblurring

A spatially fixed parameter of regularization item for whole images doesn't perform well both at edges and smooth areas. A large parameter of regularization item reduces noise better in smooth area but blurs edges, while a small parameter sharpens edges but causes residual noise. In this paper, an automated spatially dependent regularization parameter hybrid regularization model is proposed for reconstruction of noisy and blurred images which combines the harmonic and TV models. The algorithm detects image edges and spatially adjusts the parameters of Tikhonov and TV regularization terms for each pixel according to edge information. In addition, the edge information matrix will be dynamically updated with the iteration process. Computationally, the newly-established model is convex, then it can be solved by the semi-proximal alternating direction method of multipliers (sPADMM) with a linear-rate convergence. Numerical simulation results demonstrate that the proposed model effectively protects the image edge while eliminating noise and blur and outperforms the state-of-the-art algorithms in terms of PSNR, SSIM and visual quality.