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Poisson Noise Removal Scheme Based on Fourth-Order PDE by Alternating Minimization Algorithm

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  • Weifeng Zhou
  • Qingguo Li

Abstract

To overcome the staircasing effects introduced by the TV regularization in image restoration, this paper investigates a fourth-order partial differential equation (PDE) filter for removing Poisson noise. In consideration of the slow convergence property of the classical gradient descent method, we adopt the alternating minimization algorithm for realizing this scheme. Compared with the corresponding total variation based one, numerical simulations distinctly indicate the superiority of our proposed strategy in handling smooth regions of Poissonian images and improving the computational speed.

Suggested Citation

  • Weifeng Zhou & Qingguo Li, 2012. "Poisson Noise Removal Scheme Based on Fourth-Order PDE by Alternating Minimization Algorithm," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, February.
    • Handle: RePEc:hin:jnlaaa:965281
    DOI: 10.1155/2012/965281
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    Cited by:

    1. Le Jiang & Jin Huang & Xiao-Guang Lv & Jun Liu, 2013. "Restoring Poissonian Images by a Combined First-Order and Second-Order Variation Approach," Journal of Mathematics, Hindawi, vol. 2013, pages 1-11, March.

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