Loading...
Please wait, while we are loading the content...
Similar Documents
Analysis of bounded variation penalty methods for ill-posed problems
| Content Provider | Scilit |
|---|---|
| Author | Acar, R. Vogel, C. R. |
| Copyright Year | 1994 |
| Description | Journal: Inverse Problems This paper presents an abstract analysis of bounded variation (BV) methods for ill-posed operator equations Au=z. Let $T(u)^{def}=//Au-z//^{2}$+ alpha J(u) where the penalty, or 'regularization parameter alpha >0 and the functional J(u) is the BV norm or semi-norm of u, also known as the total variation of u. Under mild restrictions on the operator A and the functional J(u), it is shown that the functional T(u) has a unique minimizer which is stable with respect to certain perturbations in the data z, the operator A, the parameter alpha , and the functional J(u). In addition, convergence results are obtained which apply when these perturbations vanish and the regularization parameter is chosen appropriately. |
| Related Links | http://iopscience.iop.org/article/10.1088/0266-5611/10/6/003/pdf |
| Ending Page | 1229 |
| Page Count | 13 |
| Starting Page | 1217 |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/0266-5611/10/6/003 |
| Journal | Inverse Problems |
| Issue Number | 6 |
| Volume Number | 10 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1994-12-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Applied Mathematics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |
