Approximating Non-linear Diffusion

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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.
Original languageEnglish
Title of host publicationScale Space Methods in Computer Vision : 4th International Conference, Scale Space 2003 Isle of Skye, UK, June 10–12, 2003 Proceedings
Publisher<Forlag uden navn>
Publication date2003
ISBN (Print)978-3-540-40368-5
Publication statusPublished - 2003
Externally publishedYes
EventProceedings of the 4th International Conference in Scale Space - Isle of Skye, United Kingdom
Duration: 29 Nov 2010 → …
Conference number: 4


ConferenceProceedings of the 4th International Conference in Scale Space
LandUnited Kingdom
ByIsle of Skye
Periode29/11/2010 → …
SeriesLecture notes in computer science

ID: 5555912