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Fuzzy Rule-Based Color Filtering Using Statistical Indices

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Fuzzy Filters for Image Processing

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 122))

Summary

The following chapter describes the design and evaluation of three fuzzy color filters that are based on a specific local image model. It is assumed that an ideal image is a set of flat regions, edges and ramps. However in natural images these regions are not strictly defined so a sense of ambiguity appears which could be handled by a fuzzy rule-based system. In addition, the existence of the noise consolidates the fuzziness. We introduce three different statistical indices as fuzzy variables which are used to detect flat regions, edges and ramps. Our purpose is to remove the noise while preserving the details of the color images. The idea is that these regions from the filtering point of view should be handled in different ways. As a result three fuzzy color filters are introduced and their fuzzy variables are extracted from the estimation of the local distribution that is carried out using the Parzen estimators-Potential functions. The summation of the Potential functions, the maximum/minimum value of the local distribution and the Relative entropy are the indices that used to determine the type of the local region. Finally the fuzzy filters are evaluated with qualitative and quantitative criteria using natural color images corrupted with different types of noise.

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Author information

Authors and Affiliations

  1. Department of Physics, Electronics Laboratory, University of Patras, GR-26500, Patras, Greece

    Spiros Fotopoulos, Antony Fotinos & Socrates Makrogiannis

Authors
  1. Spiros Fotopoulos
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  2. Antony Fotinos
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  3. Socrates Makrogiannis
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Editor information

Editors and Affiliations

  1. Dept. of Applied Mathematics and Computer Science, Ghent University, Krijgslaan 281 (S9), 9000, Gent, Belgium

    Mike Nachtegael , Dietrich Van der Weken  & Etienne E. Kerre ,  & 

  2. Biomedical Imaging Group EPFL/STI/LIB, Swiss Federal Institute of Technology Lausanne, Bat. BM4. 140, 1015, Lausanne EPFL, Switzerland

    Dimitri Van De Ville

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© 2003 Springer-Verlag Berlin Heidelberg

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Fotopoulos, S., Fotinos, A., Makrogiannis, S. (2003). Fuzzy Rule-Based Color Filtering Using Statistical Indices. In: Nachtegael, M., Van der Weken, D., Kerre, E.E., Van De Ville, D. (eds) Fuzzy Filters for Image Processing. Studies in Fuzziness and Soft Computing, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36420-7_4

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  • DOI: https://doi.org/10.1007/978-3-540-36420-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05591-1

  • Online ISBN: 978-3-540-36420-7

  • eBook Packages: Springer Book Archive

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