Noise reduction by fuzzy image filtering

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 co...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2003-08, Vol.11 (4), p.429-436
Main Authors: Van De Ville, D., Nachtegael, M., Van der Weken, D., Kerre, E.E., Philips, W., Lemahieu, I.
Format: Article
Language:English
Subjects:
Additive noise
Digital filters
Filtering
Fuzzy
Fuzzy control
Fuzzy logic
Fuzzy set theory
Fuzzy sets
Homogeneity
Image processing
Mathematical analysis
Mathematical models
Noise
Noise level
Noise reduction
Noise shaping
Smoothing methods
Studies
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Summary: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.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2003.814830