Image Restoration Based on the Hybrid Total-Variation-Type Model

Autor: Baoli Shi, Zhi-Feng Pang, Yu-Fei Yang
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2012 (2012)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/2012/376802
Popis: We propose a hybrid total-variation-type model for the image restoration problem based on combining advantages of the ROF model with the LLT model. Since two L1-norm terms in the proposed model make it difficultly solved by using some classically numerical methods directly, we first employ the alternating direction method of multipliers (ADMM) to solve a general form of the proposed model. Then, based on the ADMM and the Moreau-Yosida decomposition theory, a more efficient method called the proximal point method (PPM) is proposed and the convergence of the proposed method is proved. Some numerical results demonstrate the viability and efficiency of the proposed model and methods.
Databáze: Directory of Open Access Journals