Fourth Order Nonlinear Diffusion Filters for Multiplicative Noise Removal

  • Mahipal JettaEmail author
  • Pradeep Nalluri
  • Preetham Dasari
  • Sai Hitesh
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10884)


The second order partial differential equations based multiplicative noise removal filters produce step edges (staircase artifacts) in the filtered image. This paper proposes two fourth order nonlinear diffusion filters, an isotropic filter and an anisotropic filter, which do not allow these artifacts. Through numerical simulations it is shown that the proposed isotropic filter produces the filtered image in a relatively shorter time, with noticeable improvement in the quality, when compared to a second order filter and the proposed anisotropic diffusion filter.


Fourth order partial differential equation Multiplicative noise Speckle removal Staircasing artifacts 


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Mahipal Jetta
    • 1
    Email author
  • Pradeep Nalluri
    • 1
  • Preetham Dasari
    • 1
  • Sai Hitesh
    • 1
  1. 1.Mahindra École CentraleHyderabadIndia

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