Based on the augmented Lagrangian strategy, we propose a projected gradient method for solving the high-order model in image restoration problems. Based on the Berm`udez and Moreno (BM) algorithm, the convergence of the proposed method is proved. We also give the relationship that the semi-implicit gradient descent method can be deduced from the projected gradient method. Some numerical experiments are arranged to demonstrate the efficiency of the proposed method for restoring the gray-level and color images.
Pang, Zhi-Feng; Shi, Baoli; and Huang, Lihong
"A Projected Gradient Method for a High-order Model in Image Restoration Problems,"
Applied Mathematics & Information Sciences: Vol. 06:
3, Article 19.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol06/iss3/19