Journal of Xidian University ›› 2016, Vol. 43 ›› Issue (2): 120-125.doi: 10.3969/j.issn.1001-2400.2016.02.021

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Non-convex hybrid total variation method for image blind restoration

LIU Qiaohong1;LI Bin1;LIN Min2   

  1. (1. School of Mechatronic Engineering and Automation, Shanghai Univ., Shanghai  200073, China;
    2. Department of Medical Electronics and Information Engineering, Shanghai Medical Instrumentation College, Shanghai  200093, China)
  • Received:2014-12-23 Online:2016-04-20 Published:2016-05-27
  • Contact: LIU Qiaohong E-mail:hqllqh@163.com

Abstract:

A multi-regularization constraint method for imageblind restoration is proposed to recover the blurry-noisy images.First, the non-convex total variation is adoptedas the regularization constraint by taking the sparse edges in the natural image into consideration. Next, the high-order total variation is used to overcome the staircase effects in the smooth regions of the image. Then a non-convex minimization model is proposed. Finally, the augmented Lagrangian method and a new generalized p shrinkage operator are applied to solve the model. The results of numerical experiments show that the proposed method can preserve the image edges while removing the staircase effects effectively. The high quality restored image can be obtained.

Key words: image restoration, non-convex, high-order, total variation, augmented Lagrangian method, p shrinkage operator;optimization