English

The proximal point method for a hybrid model in image restoration

Computer Vision and Pattern Recognition 2015-03-13 v2 Information Theory math.IT Optimization and Control

Abstract

Models including two L1L^1 -norm terms have been widely used in image restoration. In this paper we first propose the alternating direction method of multipliers (ADMM) to solve this class of models. Based on ADMM, we then propose the proximal point method (PPM), which is more efficient than ADMM. Following the operator theory, we also give the convergence analysis of the proposed methods. Furthermore, we use the proposed methods to solve a class of hybrid models combining the ROF model with the LLT model. Some numerical results demonstrate the viability and efficiency of the proposed methods.

Keywords

Cite

@article{arxiv.1110.1804,
  title  = {The proximal point method for a hybrid model in image restoration},
  author = {Zhi-Feng Pang and Li-Lian Wang and Yu-Fei Yang},
  journal= {arXiv preprint arXiv:1110.1804},
  year   = {2015}
}

Comments

Since we find that there are some unsuitale errors, I withdraw this paper from this website!

R2 v1 2026-06-21T19:17:24.822Z