Alternating direction method of multipliers for nonconvex log total variation image restoration

作者：Zhang, Benxin; Zhu, Guopu^*; Zhu, Zhibin; Kwong, Sam

来源：APPLIED MATHEMATICAL MODELLING, 2023, 114: 338-359.

DOI：10.1016/j.apm.2022.09.018

• Image restoration
• Log total variation
• Alternating direction method of multipliers
• Nonconvex optimization
• Convergence

In this paper, we propose a nonconvex log total variation model for image restoration. A specific alternating direction method of multipliers is also presented to solve the noncon-vex optimization model. Under mild conditions, we prove that the sequence generated by the proposed alternating direction method of multipliers converges to a stationary point. Experiment results on image denoising, image deblurring, computed tomography, magnetic resonance imaging and image super-resolution demonstrate that the proposed method is effective and improves the quality of image recovery.

• 单位
  桂林电子科技大学