Abstract
Scale space theory and Tikhonov regularization techniques are close-knit. In previous studies qualitative analogies andformal relations had already been found, but none of these established both an 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 ihe 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 transfonn. The result provides a physical interpretation of first order Tikhonov regularization and its associated control parameter.
| Original language | English |
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| Title of host publication | Proceedings of the Tenth Annual Conference of the Advanced School for Computing and Imaging (ASCI 2004), Port Zélande, Ouddorp, The Netherlands, June 2-4, 2004 |
| Editors | J.J. Wijk, van, J.W.J. Heijnsdijk, K.G. Langendoen, R. Veltkamp |
| Place of Publication | Delft |
| Publisher | Advanced School for Computing and Imaging (ASCI) |
| Pages | 321-325 |
| ISBN (Print) | 90-803086-9-2 |
| Publication status | Published - 2004 |
| Event | 10th Annual Conference of the Advanced School for Computing and Imaging (ASCI 2004), Port Zélande, Ouddorp, June 2-4, 2004 - Port Zélande, Ouddorp, Netherlands Duration: 2 Jun 2004 → 4 Jun 2004 |
Conference
| Conference | 10th Annual Conference of the Advanced School for Computing and Imaging (ASCI 2004), Port Zélande, Ouddorp, June 2-4, 2004 |
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| Abbreviated title | ASCI 2004 |
| Country/Territory | Netherlands |
| City | Ouddorp |
| Period | 2/06/04 → 4/06/04 |