Bregman iterative model using the G-norm |
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Authors: | Yu-ying Shi Xiao-zhong Yang Yong-gui Zhu |
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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
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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. |
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Keywords: | Bregman distance image restoration total variation error estimation iterative regularization |
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