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Benxin Zhang, Lei Xue, Shaohua Sun, Haixia Li, Zhibin Zhu, DC programming and algorithm for nonconvex log total variation image reconstruction

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DOI: 10.23952/jano.7.2025.1.03
Volume 7, Issue 1, 1 April 2025, Pages 41-54

 

Abstract. In this paper, a nonconvex variational model with log total variation is proposed to investigate robust image reconstruction from a certain number of measurements. Due to the form of the new model, the difference of convex functions (DC) programming is presented and a DC algorithm (DCA) is adopted. The specific DCA subproblem can be solved by the alternating direction method of multipliers (ADMM). Theoretically, we prove the sequence generated by the DCA converges to a stationary point. The experimental results demonstrate that the new method outperforms the competitive methods when the measurement is limited or the noise level is significant.

 

How to Cite this Article:
B. Zhang, L. Xue, S. Sun, H. Li, Z. Zhu, DC programming and algorithm for nonconvex log total variation image reconstruction, J. Appl. Numer. Optim. 7 (2025), 41-54.