Approximating Non-linear Diffusion
Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
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.
|Title of host publication
|Scale Space Methods in Computer Vision : 4th International Conference, Scale Space 2003 Isle of Skye, UK, June 10–12, 2003 Proceedings
|<Forlag uden navn>
|Published - 2003
|Proceedings of the 4th International Conference in Scale Space - Isle of Skye, United Kingdom
Duration: 29 Nov 2010 → …
Conference number: 4
|Proceedings of the 4th International Conference in Scale Space
|Isle of Skye
|29/11/2010 → …
|Lecture notes in computer science