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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 856876, 8 pages
http://dx.doi.org/10.1155/2013/856876
Research Article

Variational Image Denoising Approach with Diffusion Porous Media Flow

Institute of Computer Science, The Romanian Academy, 700481 Iasi, Romania

Received 23 October 2012; Revised 15 December 2012; Accepted 16 December 2012

Academic Editor: Dragoş-Pătru Covei

Copyright © 2013 Tudor Barbu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A novel PDE-based image denoising approach is proposed in this paper. One designs here a nonlinear filter for image noise reduction based on the diffusion flow generated by the porous media equation , where is a nonlinear continuous function of the form , . With respect to standard 2D Gaussian smoothing and some nonlinear PDE-based filters, this one is more efficient to remove noise from degraded images and also to reduce “staircasing” effects and preserve the image edges.