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Method for Noises Removel Based on PDE

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Intelligent Data Analysis and Applications (ECC 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 535))

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Abstract

Among various kinds of image denoising methods, the Perona–Malik model is a representative Partial Differential Equation (PDE) based algorithm which effectively removes the noise as well as having edge enhancement simultaneously through anisotropic diffusion controlled by the diffusion coefficient. However, Partial Differential Equations (PDE) is good at removeling Gaussian noises, but it is not an ideal method to deal with salt-and-pepper noise. To realize less diffusion in the texture region and more smooth in flat region while implementing image denoising, this paper propose an improved Perona–Malik model based on new diffusion function which change with the number of iterations. The improved algorithm is applied on numerical simulation and practical images, and the quantitative analyzing results prove that the modified anisotropic diffusion model can preserve textures effectively while ruling out the noise, meanwhile, the PSNR are increased obviously.

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Acknowledgments

This work is partially supported by National Natural Foundation Project (61304199), The Ministry of science and technology projects for Hong Kong and Maco (2012DFM30040), Major projects in Fujian Province (2013HZ0002-1,2014YZ0001).

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Authors and Affiliations

  1. Department of Mathematics and Physics, Fujian University of Technology, No. 3 Xueyuan Road, University Town, Minhou, Fuzhou, Fujian, China

    Baoping Xiong

  2. College of Physics and Information Engineering, Fuzhou University, No. 2 Xueyuan Road, University Town, Minhou, Fuzhou, Fujian, China

    Baoping Xiong, Yuemin Gao & Min Du

  3. College of Electrical Engineering and Automation, Fuzhou University, No. 2 Xueyuan Road, University Town, Minhou, Fuzhou, Fujian, China

    Baoping Xiong & Zhenhua Gan

  4. Key Lab of Automotive Electronics and Electric Drive Technology of Fujian Province, Fujian University of Technology, No. 3 Xueyuan Road, University Town, Minhou, Fuzhou, Fujian, China

    Baoping Xiong, Zhenhua Gan & Fumin Zou

Authors
  1. Baoping Xiong
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  2. Zhenhua Gan
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  3. Fumin Zou
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  4. Yuemin Gao
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  5. Min Du
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Corresponding author

Correspondence to Min Du .

Editor information

Editors and Affiliations

  1. College of Information Science and Engineering, Fujian University of Technology , Fuzhou, Fujian, China

    Jeng-Shyang Pan

  2. Faculty of Electrical Engineering and Computer Science, VŠB-Technical University of Ostrava , Ostrava-Poruba, Moravskoslezsky, Czech Republic

    Václav Snášel

  3. College of Information Science and Engineering, Fujian University of Technology, Fuzhou, China

    Tien-Wen Sung

  4. College of Information Science and Engineering, Fujian University of Technology, Fuzhou, China

    Xiao Dong Wang

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Xiong, B., Gan, Z., Zou, F., Gao, Y., Du, M. (2017). Method for Noises Removel Based on PDE. In: Pan, JS., Snášel, V., Sung, TW., Wang, X. (eds) Intelligent Data Analysis and Applications. ECC 2016. Advances in Intelligent Systems and Computing, vol 535. Springer, Cham. https://doi.org/10.1007/978-3-319-48499-0_19

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  • DOI: https://doi.org/10.1007/978-3-319-48499-0_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-48498-3

  • Online ISBN: 978-3-319-48499-0

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