Journal of Computations & Modelling

An ADMM Algorithm for Hybrid Variational Deblurring Model

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• Abstract

  In this paper, we propose a new method to solve a hybrid variational deblurring model for restoring blurred and noisy images. The hybrid model combines advantages of the first-order and second-order total variation. It can substantially reduce the staircase effect produced by the first-order total variation, while preserving sharp edges in the restored images. By introducing some auxiliary variables and splitting the variables two times, we obtain two equivalent constrained optimization formulations which are then addressed with the alternating direction method of multipliers (ADMM). Numerical results are given to illustrate the effectiveness of the proposed method.