Normal curvature-induced variational model for image restoration

2018 ◽  
Vol 12 (5) ◽  
pp. 679-689 ◽  
Author(s):  
Pengfei Liu ◽  
Liang Xiao ◽  
Tao Li
2010 ◽  
Vol 215 (10) ◽  
pp. 3655-3664 ◽  
Author(s):  
V.B. Surya Prasath ◽  
Arindama Singh

Author(s):  
Huihui Li ◽  
Lun Yu ◽  
Liang Zhang ◽  
Ning Yang

In order to improve the effect of turbulence degraded image restoration, aiming at the problem that the fuzzy solution is easy to be obtained by using the prior information constraint of gradient distribution under the framework of maximum a posteriori probability of blind restoration algorithm, this paper proposes a dark channel constraint and alternated direction multiplier optimization of turbulence degraded image blind restoration method.First, based on the idea of multi-scale, a dark channel prior constraint is imposed on the image and non-negative constraints and energy constraints are imposed on the point spread function at each level.Then, the kernel and image of the current scale are estimated by alternating iterations of coordinate descent method. When the maximum scale is reached, the final estimated blur kernel is obtained.Last, combined with the total variational model, the image details are quickly restored using the alternate direction optimization method. The experimental results show that the prior information constraint used in the proposed algorithm is advantageous to obtain a clear solution, and can converge to the global optimal solution in the total variational model, which can effectively suppress the artifacts produced in the image restoration process and recover a better target image detail.


2018 ◽  
Vol 27 (05) ◽  
pp. 1 ◽  
Author(s):  
Guojia Hou ◽  
Huizhu Pan ◽  
Baoxiang Huang ◽  
Guodong Wang ◽  
Weibo Wei ◽  
...  

2017 ◽  
Vol 7 (3) ◽  
pp. 629-642 ◽  
Author(s):  
Liyan Ma ◽  
Tieyong Zeng ◽  
Gongyan Li

AbstractThe hybrid variational model for restoration of texture images corrupted by blur and Gaussian noise we consider combines total variation regularisation and a fractional-order regularisation, and is solved by an alternating minimisation direction algorithm. Numerical experiments demonstrate the advantage of this model over the adaptive fractional-order variational model in image quality and computational time.


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