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A local structural adaptive partial differential equation for image denoising

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Abstract

In this paper, we propose a local and contextual controlled (LCC) fourth order partial differential equation (PDE) method for noise removal. First, a region based fourth order PDE is proposed, which conductance coefficients are chosen adaptively in terms of the domain type. Thus, the proposed method can preserve the advantages of forth order PDE and avoid leaving isolated black and white speckles. Furthermore, the region based fourth order PDE and two discontinuity measures are incorporated into a LCC fourth order PDE, where the joint use of the two discontinuity measures leads to a complementary effect for edge preservation. The proposed LCC fourth order PDE is tested on two typical images, including texture image and natural scene image, which show the superiority of the proposed method.

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Acknowledgments

The authors thank the editor and the reviewers for carefully reading the early version of this paper and offering valuable suggestions and comments. This work was supported by National Natural Science Foundation of China (61374194), the National Key Technologies R & D Program of China (2009BAG13A06), the Scientific Innovation Research of College Graduate in Jiangsu Province (CXZZ_0163), and the Scientific Research Foundation of Graduate School of Southeast University (YBPY1212).

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Authors and Affiliations

  1. School of Automation, Southeast University, Nanjing, China

    W. Zeng & X. Lu

  2. Department of Humanity and Mathematics and Physics, Nanjing Institute of Industry Technology, Nanjing, China

    X. Tan

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  1. W. Zeng
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  2. X. Lu
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  3. X. Tan
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Correspondence to X. Lu.

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Zeng, W., Lu, X. & Tan, X. A local structural adaptive partial differential equation for image denoising. Multimed Tools Appl 74, 743–757 (2015). https://doi.org/10.1007/s11042-013-1692-5

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  • DOI: https://doi.org/10.1007/s11042-013-1692-5

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