Tikhonov regularization versus scale space : a new result

L.M.J. Florack, R. Duits, J. Bierkens

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

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 languageEnglish
Title of host publicationProceedings of the Tenth Annual Conference of the Advanced School for Computing and Imaging (ASCI 2004), Port Zélande, Ouddorp, The Netherlands, June 2-4, 2004
EditorsJ.J. Wijk, van, J.W.J. Heijnsdijk, K.G. Langendoen, R. Veltkamp
Place of PublicationDelft
PublisherAdvanced School for Computing and Imaging (ASCI)
Pages321-325
ISBN (Print)90-803086-9-2
Publication statusPublished - 2004
Event10th 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 20044 Jun 2004

Conference

Conference10th Annual Conference of the Advanced School for Computing and Imaging (ASCI 2004), Port Zélande, Ouddorp, June 2-4, 2004
Abbreviated titleASCI 2004
CountryNetherlands
CityOuddorp
Period2/06/044/06/04

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