A Total Variation Model Based on the Strictly Convex Modification for Image Denoising

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ID: 85451
2014
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Abstract
We propose a strictly convex functional in which the regular term consists of the total variation term and an adaptive logarithm based convex modification term. We prove the existence and uniqueness of the minimizer for the proposed variational problem. The existence, uniqueness, and long-time behavior of the solution of the associated evolution system is also established. Finally, we present experimental results to illustrate the effectiveness of the model in noise reduction, and a comparison is made in relation to the more classical methods of the traditional total variation (TV), the Perona-Malik (PM), and the more recent D-α-PM method. Additional distinction from the other methods is that the parameters, for manual manipulation, in the proposed algorithm are reduced to basically only one.
Reference Key
wu2014aabstract Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Wu, Boying;Ogada, Elisha Achieng;Sun, Jiebao;Guo, Zhichang;
Journal abstract and applied analysis
Year 2014
DOI
DOI not found
URL
http://dx.doi.org/10.1155/2014/948392
Keywords
Chemical technology Engineering (General). Civil engineering (General) Medical technology optics. light applied optics. photonics computer engineering. computer hardware mathematics electronic computers. computer science

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