Augmented Lagrangian method for TV-l1-l2 based colour image restoration

In this paper, we introduce a total variation 11-12 regularization scheme with adapting the parameter for image restoration involving blurry and noisy colour images. Numerically, an efficient augmented Lagrangian method associated with alternating minimization method is described to obtain the optimal solution recursively. We provide the convergence analysis for the resulting algorithm. Experimental results show that our proposed model and algorithm have good signal to noise ratio (SNR) and improvement in signal to noise ratio (ISNR) values for a motion blur with different kinds of noises. (C) 2018 Elsevier B.V. All rights reserved.