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Spectral gradient method for impulse noise removal

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Abstract

In this paper, we propose a new spectral gradient method for removing impulse noise in the second phase of the two-phase method. An attractive property of the proposed method is that the search direction satisfies the sufficient descent property at each iteration, which is independent of any line search. Under Armijo-type line search, the global convergence of the proposed method is simplify established for general smooth functions. The preliminary numerical experiments are given to indicate the efficiency of the proposed method for impulse noise removal.

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Acknowledgments

The authors would like to express their thanks to Professor J.F. Cai for his kind offer of the source codes for PRCG method compared in this paper. This research was supported by the National Natural Science Foundation of China (Grant Number: 11171362) and Specialized Research Fund for the Doctoral Program of Higher Education (Grant Number: 20120191110031).

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Authors and Affiliations

  1. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China

    Jinkui Liu & Shengjie Li

  2. School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404100, China

    Jinkui Liu

Authors
  1. Jinkui Liu
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  2. Shengjie Li
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Correspondence to Shengjie Li.

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Liu, J., Li, S. Spectral gradient method for impulse noise removal. Optim Lett 9, 1341–1351 (2015). https://doi.org/10.1007/s11590-014-0845-4

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  • DOI: https://doi.org/10.1007/s11590-014-0845-4

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