Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 529849, 14 pages
http://dx.doi.org/10.1155/2012/529849
Research Article

Denoising Algorithm Based on Generalized Fractional Integral Operator with Two Parameters

Hamid A. Jalab1 and Rabha W. Ibrahim2

1Faculty of Computer Science and Information Technology, University of Malaya, 50603 Kuala Lumpur, Malaysia
2Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia

Received 23 January 2012; Accepted 21 February 2012

Academic Editor: Garyfalos Papaschinopoulos

Copyright © 2012 Hamid A. Jalab and Rabha W. Ibrahim. 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

In this paper, a novel digital image denoising algorithm called generalized fractional integral filter is introduced based on the generalized Srivastava-Owa fractional integral operator. The structures of 𝑛 × 𝑛 fractional masks of this algorithm are constructed. The denoising performance is measured by employing experiments according to visual perception and PSNR values. The results demonstrate that apart from enhancing the quality of filtered image, the proposed algorithm also reserves the textures and edges present in the image. Experiments also prove that the improvements achieved are competent with the Gaussian smoothing filter.