Approximating Non-linear Diffusion

Erik B. Dam, Ole Fogh Olsen, Mads Nielsen

Publikation: Bidrag til bog/antologi/rapportKonferencebidrag i proceedingsForskningpeer review

Abstract

We assess the feasibility of approximating non-linear diffusion processes with simple local Gaussian filters. The purpose of doing this is twofold. Firstly, the theoretical implications are by themselves interesting. Secondly, a successful method would reduce the need for computationally expensive implementations of non-linear diffusion schemes. We evaluate using isotropic and affine Gaussian filters for the task of approximating the local diffusion for a number of non-linear diffusion schemes. The approximations are firstly explored using an information theoretical approach and secondly evaluated based on their performance on a multi-scale segmentation application.
The results show that while the approximations do not perform quite as well as the original non-linear scheme, the decrease in performance is acceptable for the evaluated task. Furthermore, the affine approximations perform significantly better than the isotropic.
OriginalsprogEngelsk
TitelScale Space Methods in Computer Vision : 4th International Conference, Scale Space 2003 Isle of Skye, UK, June 10–12, 2003 Proceedings
Forlag<Forlag uden navn>
Publikationsdato2003
Sider117-131
ISBN (Trykt)978-3-540-40368-5
DOI
StatusUdgivet - 2003
Udgivet eksterntJa
BegivenhedProceedings of the 4th International Conference in Scale Space - Isle of Skye, Storbritannien
Varighed: 29 nov. 2010 → …
Konferencens nummer: 4

Konference

KonferenceProceedings of the 4th International Conference in Scale Space
Nummer4
Land/OmrådeStorbritannien
ByIsle of Skye
Periode29/11/2010 → …
NavnLecture notes in computer science
Vol/bind2695/2003
ISSN0302-9743

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