scholarly journals A Fast Linearized Alternating Minimization Algorithm for Constrained High-Order Total Variation Regularized Compressive Sensing

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 143081-143089 ◽  
Author(s):  
Binbin Hao ◽  
Jichao Wang ◽  
Jianguang Zhu
Keyword(s):  
Compressive Sensing ◽  
Total Variation ◽  
High Order ◽  
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.

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

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
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