Image Denoising Method Based on Weighted Total Variational Model with Edge Operator

  • Hong Zhang
  • Xiaoli ZhouEmail author
  • Weixiao Zhan
  • Fuhua Yu
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 891)


In order to eliminate image noise effectively, the weighted total variation algorithm based on edge detection is proposed. By calculating the amplitude of the edge operator of the image, accurate estimates of edge weights are achieved, and then the weight of the canny operator is used to weigh the Lagrangian multiplier, which is no longer a global variable, so that the filter has a better edge protection feature. Theoretical analysis and experimental results show that the method can remove noise while preserving the edge details of the image more completely. The step effects of the total variation model is effectively suppressed, and has a better performance in terms of structural similarity and the visual effect of image.


Image denoising Weighted total variation model Canny Structural similarity 



This work was supported by the Shaanxi Natural Science Foundation (2016JM8034) and Scientific research plan projects of Henan Education Department (12JK0791).


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Hong Zhang
    • 1
  • Xiaoli Zhou
    • 1
    Email author
  • Weixiao Zhan
    • 2
  • Fuhua Yu
    • 1
  1. 1.Xi’an University of Post and TelecommunicationsXi’anChina
  2. 2.China Academy of Information and Communications TechnologyBeijingChina

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