A Fast Algorithm for Fractional-order Total Variation Based Multiplicative Noise Removal

Zhang Jun; Wei Zhihui

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A Fast Algorithm for Fractional-order Total Variation Based Multiplicative Noise Removal

Zhang Jun 1 *,Wei Zhihui 2

1.School of Science,Nanjing University of Science and Technology,Nanjing, China,210094

2.School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China, 210094

*Correspondence author

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Funding: National Natural Science Foundation of China （No.61101198）, Specialized Research Fund for the Doctoral Program of Higher Education （No.200802880018）

Opened online:10 January 2012

Accepted by: none

Citation: Zhang Jun,Wei Zhihui.A Fast Algorithm for Fractional-order Total Variation Based Multiplicative Noise Removal[OL]. [10 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4457900

In this paper, using the operator splitting technique, we propose a fast alternating iterative algorithm for the fractional-order total variation regularized model with general fidelity term. As an application, we use the new algorithm to solve two models for multiplicative noise removal with different fidelity terms. To improve the performance, we choose the parameters adaptively and propose an adaptive algorithm for multiplicative noise removal. Numerical results show that the new algorithm with fixed parameters has low computational cost. The adaptive algorithms can not only remove the noise and eliminate the staircase effect in the non-textured region, but also preserve the textures well in the textured region, and therefore can improve the result visually efficiently.

Keywords:total variation; fractional-order derivative; operator splitting; multiplicative noise removal

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