Approximating Non-linear Diffusion

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Standard

Approximating Non-linear Diffusion. / Dam, Erik B.; Olsen, Ole Fogh; Nielsen, Mads.

Scale Space Methods in Computer Vision: 4th International Conference, Scale Space 2003 Isle of Skye, UK, June 10–12, 2003 Proceedings. , 2003. s. 117-131 (Lecture notes in computer science, Bind 2695/2003).

Publikation: Bidrag til bog/antologi/rapportKonferencebidrag i proceedingsForskningfagfællebedømt

Harvard

Dam, EB, Olsen, OF & Nielsen, M 2003, Approximating Non-linear Diffusion. i Scale Space Methods in Computer Vision: 4th International Conference, Scale Space 2003 Isle of Skye, UK, June 10–12, 2003 Proceedings. , Lecture notes in computer science, bind 2695/2003, s. 117-131, Proceedings of the 4th International Conference in Scale Space, Isle of Skye, Storbritannien, 29/11/2010. https://doi.org/10.1007/3-540-44935-3_9

APA

Dam, E. B., Olsen, O. F., & Nielsen, M. (2003). Approximating Non-linear Diffusion. I Scale Space Methods in Computer Vision: 4th International Conference, Scale Space 2003 Isle of Skye, UK, June 10–12, 2003 Proceedings (s. 117-131). . Lecture notes in computer science, Bind. 2695/2003 https://doi.org/10.1007/3-540-44935-3_9

Vancouver

Dam EB, Olsen OF, Nielsen M. Approximating Non-linear Diffusion. I Scale Space Methods in Computer Vision: 4th International Conference, Scale Space 2003 Isle of Skye, UK, June 10–12, 2003 Proceedings. . 2003. s. 117-131. (Lecture notes in computer science, Bind 2695/2003). https://doi.org/10.1007/3-540-44935-3_9

Author

Dam, Erik B. ; Olsen, Ole Fogh ; Nielsen, Mads. / Approximating Non-linear Diffusion. Scale Space Methods in Computer Vision: 4th International Conference, Scale Space 2003 Isle of Skye, UK, June 10–12, 2003 Proceedings. , 2003. s. 117-131 (Lecture notes in computer science, Bind 2695/2003).

Bibtex

@inproceedings{88951ee06d2311dd8d9f000ea68e967b,
title = "Approximating Non-linear Diffusion",
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.",
author = "Dam, {Erik B.} and Olsen, {Ole Fogh} and Mads Nielsen",
year = "2003",
doi = "10.1007/3-540-44935-3_9",
language = "English",
isbn = "978-3-540-40368-5",
series = "Lecture notes in computer science",
publisher = "",
pages = "117--131",
booktitle = "Scale Space Methods in Computer Vision",
note = "null ; Conference date: 29-11-2010",

}

RIS

TY - GEN

T1 - Approximating Non-linear Diffusion

AU - Dam, Erik B.

AU - Olsen, Ole Fogh

AU - Nielsen, Mads

N1 - Conference code: 4

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

U2 - 10.1007/3-540-44935-3_9

DO - 10.1007/3-540-44935-3_9

M3 - Article in proceedings

SN - 978-3-540-40368-5

T3 - Lecture notes in computer science

SP - 117

EP - 131

BT - Scale Space Methods in Computer Vision

PB -

Y2 - 29 November 2010

ER -

ID: 5555912