A Total Variational Approach Based on Meridian Norm for Restoring Noisy Images with Alpha-stable Noise

YANG Zhenzhen; YANG Zhen; LI Lei; JIN Zhengmeng

doi:10.11999/JEIT160657

Volume 39 Issue 5

May 2017

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Article Navigation > Journal of Electronics & Information Technology > 2017 > 39(5): 1109-1115

YANG Zhenzhen, YANG Zhen, LI Lei, JIN Zhengmeng. A Total Variational Approach Based on Meridian Norm for Restoring Noisy Images with Alpha-stable Noise[J]. Journal of Electronics & Information Technology, 2017, 39(5): 1109-1115. doi: 10.11999/JEIT160657

Citation:

YANG Zhenzhen, YANG Zhen, LI Lei, JIN Zhengmeng. A Total Variational Approach Based on Meridian Norm for Restoring Noisy Images with Alpha-stable Noise[J]. Journal of Electronics & Information Technology, 2017, 39(5): 1109-1115. doi: 10.11999/JEIT160657

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A Total Variational Approach Based on Meridian Norm for Restoring Noisy Images with Alpha-stable Noise

doi: 10.11999/JEIT160657

1.
2.
(Center for Visual Cognitive Computation and Application, Nanjing University of Posts and Telecommunications, Nanjing 210023, China)

Funds:

The National Natural Science Foundation of China (61501251, 61271335, 61271240), The Natural Science Foundation of Jiangsu Province (BK20140891), The Science Foundation of Nanjing University of Posts and Telecommunications (NY214191)

Received Date: 2016-06-21
Rev Recd Date: 2017-01-03
Publish Date: 2017-05-19

Abstract

Abstract

In actual applications, noises may inevitably exist, and thus to study the denoising method for images is great significant task in image processing filed that attracts much attention in recent years. In this paper, based on the statistical property of Meridian distributed and the Total Variational (TV), a total variational method is proposed for restoring images degraded by alpha-stable noise. Besides, in order to obtain a strictly convex model, a quadratic penalty term is added, which guarantees the uniqueness of the solution. For solving the novel convex variational model, a primal-dual algorithm is employed to solve the above model, and the convergence of the algorithm is proved. The experimental results demonstrate that the feasibility and effectiveness of the proposed model for the noisy images with alpha-stable noise.
- Image processing,
- Meridian norm,
- Alpha-stable noise,
- Primal-dual algorithm,
- Total Variational (TV)

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References(23)

References

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