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|Title:||Image restoration based on the hybrid total-variation-type model||Authors:||Yang, Yu-Fei.
|Issue Date:||2012||Source:||Shi, B., Pang, Z. F., & Yang, Y. F. (2012). Image Restoration Based on the Hybrid Total-Variation-Type Model. Abstract and Applied Analysis, 2012.||Series/Report no.:||Abstract and applied analysis||Abstract:||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.||URI:||https://hdl.handle.net/10356/96114
|DOI:||10.1155/2012/376802||Rights:||© 2012 Baoli Shi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.||Fulltext Permission:||open||Fulltext Availability:||With Fulltext|
|Appears in Collections:||SPMS Journal Articles|
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