A Projected Gradient Method for a High-order Model in Image Restoration Problems

Authors

Zhi-Feng Pang, College of Mathematics and Information Science, Henan University, Kaifeng, 475004, ChinaFollow
Baoli Shi
Lihong Huang

Author Country (or Countries)

China

Abstract

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.

Suggested Reviewers

N/A

Recommended Citation

Pang, Zhi-Feng; Shi, Baoli; and Huang, Lihong (2012) "A Projected Gradient Method for a High-order Model in Image Restoration Problems," Applied Mathematics & Information Sciences: Vol. 06: Iss. 3, Article 19.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol06/iss3/19