Multidimensional Fuzzy Filtering using Statistical Parameters

Authors:
A. Fotinos;N. Laskaris;G. Economou;S. Fotopoulos
Affiliations:
University of Patras, Department of Physics, Electronics Lab., 261 10 Patras, GREECE;University of Patras, Department of Physics, Electronics Lab., 261 10 Patras, GREECE;University of Patras, Department of Physics, Electronics Lab., 261 10 Patras, GREECE;University of Patras, Department of Physics, Electronics Lab., 261 10 Patras, GREECE
Venue:
Multidimensional Systems and Signal Processing
Year:
1999

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Abstract

A multidimensional filteringtechnique is proposed using fuzzy logic ideas and based on twolocally estimated statistical parameters. This technique is appliedto the 3D space of color images. Two fuzzy sets for each fuzzyvariable are considered. These fuzzy variables assign the correspondingpart of the image to a specific class. The parameters of thefuzzy sets are derived in respect to the corresponding ’’crisp‘‘sets attributed to the ideal noiseless image. An additional fuzzyselection process is also introduced by applying a distance dependentweighted average as the filtering action of each rule. Both signaland noise characteristics are taken into account in the filteringprocess. Experimental results show that these fuzzy non-linearfilters work very well.