BIOMEDICAL IMAGING GROUP (BIG)
Laboratoire d'imagerie biomédicale (LIB)

Noise Reduction by Fuzzy Image Filtering

D. Van De Ville, M. Nachtegael, D. Van der Weken, E.E. Kerre, W. Philips, I. Lemahieu

IEEE Transactions on Fuzzy Systems, vol. 11, no. 4, pp. 429–436, August 2003.

A new fuzzy filter is presented for the noise reduction of images corrupted with additive noise. The filter consists of two stages. The first stage computes a fuzzy derivative for eight different directions. The second stage uses these fuzzy derivatives to perform fuzzy smoothing by weighting the contributions of neighboring pixel values. Both stages are based on fuzzy rules which make use of membership functions. The filter can be applied iteratively to effectively reduce heavy noise. In particular, the shape of the membership functions is adapted according to the remaining noise level after each iteration, making use of the distribution of the homogeneity in the image. A statistical model for the noise distribution can be incorporated to relate the homogeneity to the adaptation scheme of the membership functions. Experimental results are obtained to show the feasibility of the proposed approach. These results are also compared to other filters by numerical measures and visual inspection. 

@ARTICLE(http://bigwww.epfl.ch/publications/vandeville0304.html,
AUTHOR="Van De Ville, D. and Nachtegael, M. and Van der Weken, D.
	and Kerre, E.E. and Philips, W. and Lemahieu, I.",
TITLE="Noise Reduction by Fuzzy Image Filtering",
JOURNAL="{IEEE} Transactions on Fuzzy Systems",
YEAR="2003",
volume="11",
number="4",
pages="429--436",
month="August",
note="")

© 2003 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.