Name
Abstract | ||
|---|---|---|
In this paper, we study fixed point proximity algorithms for a TVL1 restoration model recovering blurred images with impulsive noise, and image inpainting. The model that minimizes the sum of a data fidelity term in the l1-norm, a term in l2-norm and total-variation regularization term is strictly convex. We obtain the solution of the model through finding a fixed point of a nonlinear mapping expressed in terms of the proximity operator of the l1-norm or the l2-norm, each of which is explicitly given. The non-expansivity of the mapping is also analysed theoretically. This formulation naturally leads to fixed-point algorithms for numerical treatment of the model. Numerical experiments demonstrate that the proposed algorithms perform favourably. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1080/00207160.2017.1343470 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS |
Keywords | Field | DocType |
Total variation, proximity operator, deblurring, impulsive noise, inpainting | Nonlinear system,Deblurring,Algorithm,Inpainting,Regularization (mathematics),Convex function,Operator (computer programming),Image restoration,Fixed point,Mathematics | Journal |
Volume | Issue | ISSN |
95 | 9 | 0020-7160 |
Citations | PageRank | References |
1 | 0.34 | 12 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jian Lu | 1 | 19 | 4.31 |
| Ke Qiao | 2 | 1 | 0.34 |
| Lixin Shen | 3 | 3 | 2.40 |
| Yuru Zou | 4 | 19 | 3.98 |