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Bregman iterative model using the G-norm
Authors:Yu-ying Shi  Xiao-zhong Yang  Yong-gui Zhu
Institution:1. Department of Mathematics and Physics, North China Electric Power University, Beijing, 102206, China
2. School of Science, Communication University of China, Beijing, 100024, China
Abstract:In this paper, we analyze the Bregman iterative model using the G-norm. Firstly, we show the convergence of the iterative model. Secondly, using the source condition and the symmetric Bregman distance, we consider the error estimations between the iterates and the exact image both in the case of clean and noisy data. The results show that the Bregman iterative model using the G-norm has the similar good properties as the Bregman iterative model using the L 2-norm.
Keywords:Bregman distance  image restoration  total variation  error estimation  iterative regularization
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