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

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Weifeng Zhou ◽  
Qingguo Li
Keyword(s):  
Fourth Order ◽  
Noise Removal ◽  
Descent Method ◽  
Poisson Noise ◽  
Gradient Descent Method ◽  
Order Partial Differential Equation ◽  
Alternating Minimization ◽  
Minimization Algorithm ◽  
Tv Regularization ◽  
Alternating Minimization Algorithm

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.

scholarly journals Line Integral Alternating Minimization Algorithm for Dual-Energy X-Ray CT Image Reconstruction

2016 ◽  
Vol 35 (2) ◽  
pp. 685-698 ◽  
Author(s):  
Yaqi Chen ◽  
Joseph A. O'Sullivan ◽  
David G. Politte ◽  
Joshua D. Evans ◽  
Dong Han ◽  
...  
Keyword(s):  
Image Reconstruction ◽  
Dual Energy ◽  
Ct Image ◽  
Alternating Minimization ◽  
Minimization Algorithm ◽  
Line Integral ◽  
X Ray ◽  
Alternating Minimization Algorithm ◽  
Ct Image Reconstruction

Fourth-order partial differential equation noise removal on welding images

2015 ◽  
Author(s):  
Suhaila Abd Halim ◽  
Arsmah Ibrahim ◽  
Tuan Nurul Norazura Tuan Sulong ◽  
Yupiter HP Manurung
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Fourth Order ◽  
Noise Removal ◽  
Order Partial Differential Equation ◽  
Partial Differential

Alternating minimization algorithm for hybrid regularized variational image dehazing

Optik ◽  
2019 ◽  
Vol 185 ◽  
pp. 943-956 ◽  
Author(s):  
Qiaoling Shu ◽  
Chuansheng Wu ◽  
Qiuxiang Zhong ◽  
Ryan Wen Liu
Keyword(s):  
Alternating Minimization ◽  
Minimization Algorithm ◽  
Image Dehazing ◽  
Alternating Minimization Algorithm ◽  
Variational Image

Accelerated alternating minimization algorithm for Poisson noisy image recovery

2020 ◽  
Vol 28 (7) ◽  
pp. 1031-1056
Author(s):  
Anantachai Padcharoen ◽  
Duangkamon Kitkuan ◽  
Poom Kumam ◽  
Jewaidu Rilwan ◽  
Wiyada Kumam
Keyword(s):  
Image Recovery ◽  
Noisy Image ◽  
Alternating Minimization ◽  
Minimization Algorithm ◽  
Alternating Minimization Algorithm

scholarly journals A Fast High-Order Total Variation Minimization Method for Multiplicative Noise Removal

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Xiao-Guang Lv ◽  
Jiang Le ◽  
Jin Huang ◽  
Liu Jun
Keyword(s):  
Total Variation ◽  
Multiplicative Noise ◽  
Noise Removal ◽  
High Order ◽  
Alternating Minimization ◽  
Minimization Method ◽  
Total Variation Minimization ◽  
Alternating Minimization Algorithm ◽  
Staircase Effect ◽  
Multiplicative Noise Removal

Multiplicative noise removal problem has received considerable attention in recent years. The total variation regularization method for the solution of the noise removal problem can preserve edges well but has the sometimes undesirable staircase effect. In this paper, we propose a fast high-order total variation minimization method to restore multiplicative noisy images. The proposed method is able to preserve edges and at the same time avoid the staircase effect in the smooth regions. An alternating minimization algorithm is employed to solve the proposed high-order total variation minimization problem. We discuss the convergence of the alternating minimization algorithm. Some numerical results show that the proposed method gives restored images of higher quality than some existing multiplicative noise removal methods.

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