A Doubly Degenerate Diffusion Model Based on the Gray Level Indicator for Multiplicative Noise Removal

2015 ◽  
Vol 24 (1) ◽  
pp. 249-260 ◽  
Author(s):  
Zhenyu Zhou ◽  
Zhichang Guo ◽  
Gang Dong ◽  
Jiebao Sun ◽  
Dazhi Zhang ◽  
...  
2013 ◽  
Vol 2013 ◽  
pp. 1-21 ◽  
Author(s):  
Gang Dong ◽  
Zhichang Guo ◽  
Boying Wu

This paper focuses on the problem of multiplicative noise removal. Using a gray level indicator, we derive a new functional which consists of the adaptive total variation term and the global convex fidelity term. We prove the existence, uniqueness, and comparison principle of the minimizer for the variational problem. The existence, uniqueness, and long-time behavior of the associated evolution equation are established. Finally, experimental results illustrate the effectiveness of the model in multiplicative noise reduction. Different from the other methods, the parameters in the proposed algorithms are found dynamically.


2017 ◽  
Vol 137 ◽  
pp. 160-176 ◽  
Author(s):  
Jing Dong ◽  
Zifa Han ◽  
Yuxin Zhao ◽  
Wenwu Wang ◽  
Ales Prochazka ◽  
...  

2012 ◽  
Vol 38 (3) ◽  
pp. 444-451 ◽  
Author(s):  
Xu-Dong WANG ◽  
Xiang-Chu FENG ◽  
Lei-Gang HUO

2021 ◽  
pp. 40-50
Author(s):  
Thi Thu Thao Tran ◽  
Cong Thang Pham ◽  
Duc Hong Vo ◽  
Duc Hoang Vo

In this paper, we propose a variational method for restoring images corrupted by multiplicative noise. Computationally, we employ the alternating minimization method to solve our minimization problem. We also study the existence and uniqueness of the proposed problem. Finally, experimental results are provided to demonstrate the superiority of our proposed hybrid model and algorithm for image denoising in comparison with state-of-the-art methods.


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