Name
Abstract | ||
|---|---|---|
In this paper tube methods for reconstructing discontinuous data from noisy and blurred observation data are considered. It is shown that discrete bounded variation (BV)-regularization (commonly used in inverse problems and image processing) and the taut-string algorithm (commonly used in statistics) select reconstructions in a tube. A version of the taut-string algorithm applicable for higher dimensional data is proposed. This formulation results in a bilateral contact problem which can be solved very efficiently using an active set strategy. As a by-product it is shown that the Lagrange multiplier of the active set strategy is an efficient parameter for edge detection. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1023/A:1026276804745 | Journal of Mathematical Imaging and Vision |
Keywords | Field | DocType |
filtering,regularization,bounded variation,segmentation,taut-string algorithm | Mathematical optimization,Edge detection,Segmentation,Lagrange multiplier,Image processing,Filter (signal processing),Regularization (mathematics),Inverse problem,Bounded variation,Mathematics | Journal |
Volume | Issue | ISSN |
19 | 3 | 1573-7683 |
Citations | PageRank | References |
16 | 1.47 | 5 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Walter Hinterberger | 1 | 16 | 1.47 |
| Michael Hintermüller | 2 | 342 | 32.75 |
| Karl Kunisch | 3 | 1370 | 145.58 |
| Markus von Oehsen | 4 | 26 | 4.58 |
| Otmar Scherzer | 5 | 346 | 52.10 |