Nonlinear Diffusion Combined with Brownian Motions for Image Denoising

DOI

10.2991/jcis.2008.45How to use a DOI?

Keywords

Image denoising; PDEs; nonlinear diffusion; Brownian motion

Abstract

We introduce Brownian motion into the nonlinear diffusion process for image denoising in this paper. Brownian motion in our work stands for the variation of gray value of a pixel in the form of “random walking” which analogs the irregular and unceasing movement of a small particle. A reflection wall is set for each pixel to force its Brownian motion to act as an inverse process of the diffusion process. Moreover, the absorption walls are also set to limit the range of the distance of Brownian motion in order to overcome the inherent unstability of the inverse process. The parameters of Brownian motion and the location of the reflection and absorption walls are estimated adaptively according to the local feature of the neighborhood of the corresponding pixel. The method of the combination of the nonlinear diffusion and Brownian motion is called as ND-BM method. The experimental results shows that it is one of effective method for image denoising.

Copyright

© 2008, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Mingliang Guo
AU  - Peng Liu
PY  - 2008/12
DA  - 2008/12
TI  - Nonlinear Diffusion Combined with Brownian Motions for Image Denoising
BT  - Proceedings of the 11th Joint Conference on Information Sciences (JCIS 2008)
PB  - Atlantis Press
SP  - 262
EP  - 269
SN  - 1951-6851
UR  - https://doi.org/10.2991/jcis.2008.45
DO  - 10.2991/jcis.2008.45
ID  - Guo2008/12
ER  -