Name
Title | ||
|---|---|---|
An alternating direction method of multipliers for the solution of matrix equations arising in inverse problems. |
Abstract | ||
|---|---|---|
In this paper, we consider an efficient approach to solve a linear ill-posed inverse problem g = Kx+e with total variation regularization, where K has a Kronecker product structure, K = Sigma(r)(j=1) Kj circle times Hj. A numerical scheme is developed by using a variable splitting technique and directly exploiting the Kronecker structure of the problem. Experimental results on image restoration applications illustrate the effectiveness of our proposed method. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1002/nla.2123 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS |
Keywords | Field | DocType |
ill-posed problem,image restoration,matrix equation,regularization,total variation | Kronecker delta,Mathematical optimization,Kronecker product,Mathematical analysis,Matrix (mathematics),Total variation denoising,Regularization (mathematics),Inverse problem,Image restoration,Mathematics | Journal |
Volume | Issue | ISSN |
25.0 | SP4.0 | 1070-5325 |
Citations | PageRank | References |
0 | 0.34 | 12 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jianjun Zhang | 1 | 4 | 2.21 |
| James G. Nagy | 2 | 188 | 24.27 |