Existence and uniqueness of weak solutions for a system applied to image decomposition |
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| Authors: | Qiang Liu Li Xia |
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| Affiliation: | 1. College of Mathematics and Computational Science, Shenzhen University, Shenzhen, P.R. China.;2. College of Mathematics and Statistics, Guangdong University of Economics and Finance, Guangzhou, P.R. China. |
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| Abstract: | In this paper, we prove the existence and uniqueness of weak solutions for a singular evolutionary system, which is deduced from a model for image decomposition combining staircase reduction and texture extraction. The main method we used is p-Laplace regularization. The numerical experimental result shows the efficiency of this kind of model. |
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| Keywords: | Existence and uniqueness system total variation image decomposition |
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