Name
Abstract | ||
|---|---|---|
It is well-known that scale space theory and Tikhonov regularization are close-knit. In previous studies qualitative analogies and formal relations had already been found, but none of these estahlished both,in exact as well as operational connection. We establish such a connection for the case of a Gaussian scale space representation and a first order Tikhonov scheme. The free parameter of the latter turns Out to be related to a particular attenuation of scales in a procedure whereby one "collapses" the scale space image along the scale axis via the Laplace transform. The result provides a physical interpretation of first order Tikhonov regularizaton and its associated control parameter. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1109/ICIP.2004.1418742 | ICIP: 2004 INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOLS 1- 5 |
Keywords | DocType | ISSN |
scale space,laplace transform,tikhonov regularization | Conference | 1522-4880 |
Citations | PageRank | References |
2 | 0.42 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| L. M. J. Florack | 1 | 1212 | 210.47 |
| Remco Duits | 2 | 380 | 33.83 |
| Joris Bierkens | 3 | 4 | 2.58 |