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Fuzzy Nonlinear Filtering of Color Images: A Survey

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Fuzzy Techniques in Image Processing

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 52))

Summary

This contribution is intended as a survey of the existing fuzzy (or fuzzy related) filtering techniques for multichannel (and color in particular) images. We propose a classification of all these approaches to color image processing into four categories, based on the importance that fuzzy theory receives during the filter design: crude fuzzy, fuzzy paradigm based, fuzzy aggregative and fuzzy inferential. These categories are not necessarily mutually exclusive, and their boundaries can also be fuzzy. We will show how the perceptual notion of JND (Just Noticeable Difference) can provide a fuzzy-like approach to color correctness evaluation.

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References

  1. Abbas J. and Domanski M., Vector Nonlinear Recursive Filters for Color Images,in: “Proceedings of IWSSIP’99–6th International Workshop on Systems, Signals and Image Processing” (Bratislava, Slovakia), pp. 30–33, 1999

    Google Scholar 

  2. Astola J., Haavisto P. and Neuvo Y., Vector Median Filters, Proc. IEEE, Vol. 78, No. 4, pp. 678–689, 1990

    Google Scholar 

  3. Barnett V., The Ordering of Multivariate Data,Journal of Royal Stat. Soc. A, Vol. 139, No. 3, pp. 318–354, 1976

    Google Scholar 

  4. Bezdek J.C., “Pattern Recognition with Fuzzy Objective Function Algorithms”, Plenum Press, New York, 1981

    Book  MATH  Google Scholar 

  5. Bezdek J.C., Fuzzy Models - What Are They and Why? IEEE Trans. on Fuzzy Systems, Vol. 1, No. 1, pp. 1–5, 1993

    Google Scholar 

  6. Buchowicz A. and Pitas I., Multichannel Distance Filters,in: “Proceedings of ICIP’94 - IEEE Conference on Image Processing” (Austin, TX), pp. 575–578, 1994

    Google Scholar 

  7. Carron T. and Lambert P., Symbolic Fusion of Hue-Chroma-Intensity Features for Region Segmentation, in: “Proceedings of ICIP’96 - IEEE Conference on Image Processing” (Lausanne, Switzerland), pp. 971–974, 1996

    Google Scholar 

  8. Castleman K.R., “Digital Image Processing (2nd edition)”, Prentice Hall, Englewood Cliffs NJ, 1996

    Google Scholar 

  9. Ciuc M., Rangayyan R.M., Zaharia T. and Buzuloiu V., Adaptive Neighbourhood Filters for Color Image Filtering, in: “Proceedings of the 9th SPIE Nonlinear Image Processing Conference” (San Jose, California, USA), SPIE 3304, pp. 277–286, 1998

    Google Scholar 

  10. Cohen H.A., Image Restoration via N-Nearest Neighbor Classification,in: “Proceedings of ICIP’96 - IEEE Conference on Image Processing” (Lausanne, Switzerland), Vol. 1, pp. 1005–1008, 1996

    Google Scholar 

  11. Comaniciu D., An Efficient Clustering Algorithm for Vector Quantization,in: “Proceedings of the 9th Scandinavian Conference on Image Analysis” (Uppsala, Sweden), pp. 423–430, 1995

    Google Scholar 

  12. Economou G. and Fotopoulos S., A Family of Adaptive Nonlinear Lox Complexity Filters, in: “Proceedings of ECCTD’93 - European Conference on Circuit Theory and Design” (Davos, Switzerland), pp. 521–524, 1993

    Google Scholar 

  13. Fotopoulos S. and Economou G., Multichannel Filters Using Composite Distance Metrics, in: “Proceedings of the IEEE Workshop on Nonlinear Signal and Image Processing” (Neos Marmara, Halkidiki, Greece), Vol. 2, pp. 503–506, 1995

    Google Scholar 

  14. Gersho A. and Gray R.M., “Vector Quantization and Signal Compression”, Kluwer Academic Publ., Boston MA, 1992

    Book  MATH  Google Scholar 

  15. Hathaway R.J. and Bezdek J.C., Optimization of Clustering Criteria by Reformulation,IEEE Trans. on Fuzzy Systems, Vol. 3, No. 2, pp. 241–245, 1995

    Google Scholar 

  16. Jain A.K. and Dubes R.C., “Algorithms for Clustering Data”, Prentice Hall, Englewood Cliffs NJ, 1988

    MATH  Google Scholar 

  17. Karakos D.G. and Trahanias P.E., Generalized Multichannel Image Filtering Structures, IEEE Trans. on Image Processing, Vol. 6, No. 7, pp. 1038–1045, 1997

    Google Scholar 

  18. Krishnapuram R. and Keller J.M., A Possibilistic Approach to Clustering,IEEE Trans. on Fuzzy Systems, Vol. 1, No. 2, pp. 98–110, 1993

    Google Scholar 

  19. Krzanowski W.J., “Principles of Multivariate Analysis: A User’s Perspective”, Clarendon Press, Oxford, 1993

    Google Scholar 

  20. Pitas I. and Venetsanopoulos A.N., “Nonlinear Digital Filters - Principles and Applications”, Kluwer Academic Publ., Norwell MA, 1990

    MATH  Google Scholar 

  21. Plataniotis K.N., Androutsos D. and Venetsanopoulos A.N., Color Image Processing using Fuzzy Vector Directional Filters, in: “Proceedings of the IEEE Workshop on Nonlinear Signal and Image Processing” (Neos Marmara, Halkidiki, Greece), Vol. 2, pp. 535–538, 1995

    Google Scholar 

  22. Plataniotis K.N., Androutsos D. and Venetsanopoulos A.N., Nearest Neighbour Multichannel Filters for Image Processing, in: “Proceedings of EUSIPCO’96–8th European Signal Processing Conference” (Trieste, Italy), Vol. 1, pp. 157–160, 1996

    Google Scholar 

  23. Plataniotis K.N., Androutsos D. and Venetsanopoulos A.N., Multichannel Filters for Image Processing, Signal Processing: Image Communications, Vol. 9, No. 2, pp. 143–158, 1997

    Article  Google Scholar 

  24. Plataniotis K.N. and Venetsanopoulos A.N., Vector Filtering,in: “The Colour Image Processing Handbook (Sangwine J.S. and Horne R.E.N., eds.)”, Chapman & Hall, pp. 188–209, 1998

    Google Scholar 

  25. Reusch B., Mathematics of Fuzzy Logic,in: “Real World Applications of Intelligent Technologies (Dascalu D., Negoita M.G. and Zimmermann H.J., eds.)”, Romanian Academy Publ. House, pp. 15–52, 1996

    Google Scholar 

  26. Russo F. and Ramponi G., A Fuzzy Operator for the Enhancement of Blurred and Noisy Images, IEEE Trans. on Image Processing, Vol. 4, No. 8, pp. 1169–1174, 1995

    Google Scholar 

  27. Russo F., Nonlinear Fuzzy Filters: An Overview,in: “Proceedings of EUSIPCO’96–8th European Signal Processing Conference” (Trieste, Italy), Vol. 1, pp. 257–260, 1996

    Google Scholar 

  28. Sangwine J.S. and Thornton A. L., Frequency Domain Methods, in: “The Colour Image Processing Handbook (Sangwine J.S. and Horne R.E.N., eds.)”, Chapman & Hall, pp. 228–241, 1998

    Google Scholar 

  29. Sharma G. and Trusell H.G., Digital Color Imaging,IEEE Trans. on Image Processing, Vol. 6, No. 7, pp. 901–932, 1997

    Google Scholar 

  30. Tang K., Astola J. and Neuvo Y., Nonlinear Multivariate Image Filtering Techniques, IEEE Trans. on Image Processing, Vol. 4, No. 6, pp. 788–798, 1995

    Article  Google Scholar 

  31. Trahanias P.E. and Venetsanopoulos A.N., Vector Directional Filters - A New Class of Multichannel Image Processing Filters, IEEE Trans. on Image Processing, Vol. 2, No. 4, pp. 528–534, 1993

    Google Scholar 

  32. Vertan C. and Geangâlâ C.I., Fuzzy Unsupervised Clustering for Color Image Filtering, in: “Proceedings of EUFIT’96–4th European Congress on Intelligent Techniques and Soft Computing” (Aachen, Germany), Vol. 3, pp. 1751–1753, 1996

    Google Scholar 

  33. Vertan C., Malciu M., Zaharia T. and Buzuloiu V., A Clustering Approach to Vector Mathematical Morphology, in: “Proceedings of ICECS’96–IEEE International Conference on Electronics, Circuits and Systems” (Rodos, Greece), Vol. 1, pp. 187–190, 1996

    Google Scholar 

  34. Vertan C. and Geangâlâ C.I., FMPNN - A New Fuzzy Unsupervised Clustering Algorithm, in: “Proceedings of EUFIT’96–4th European Congress on Intelligent Techniques and Soft Computing” (Aachen, Germany), Vol. 3, pp. 1812–1815, 1996

    Google Scholar 

  35. Vertan C., Vertan C.I. and Buzuloiu V., Fuzzy Developments of Multichannel Filters, in: “Proceedings of KES’97 - First International Conference on Conventional and Knowledge-Based Intelligent Electronic Systems” ( Adelaide, Australia ), 1997

    Google Scholar 

  36. Vertan C., Grava C. and Buzuloiu V., Cluster Filtering Revisited: Probabilistic and Possibilistic Approaches to Multichannel Signal Processing, in: “Proceedings of EMES’97–4th International Conference on Engineering of Modern Electrical Systems” (Oradea, Romania), pp. 276–281, 1997

    Google Scholar 

  37. Yang X. and Toh P.S., Adaptive Fuzzy Multilevel Median Filter,IEEE Trans. on Image Processing, Vol. 4, No. 8, pp. 680–682, 1995

    Google Scholar 

  38. Zadeh L., Fuzzy Sets,Information and Control, Vol. 8, pp. 338–353, 1965

    Google Scholar 

  39. Zimmermann H.J., “Fuzzy Sets, Decision Making and Expert Systems”, Kluwer Academic Publ., Boston MA, 1987

    Book  Google Scholar 

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Author information

Authors and Affiliations

  1. Image Processing and Analysis Laboratory (LAPI), Universitatea Politehnica Bucureşti, P.O. Box 35-57, Bucharest 35, Romania

    Constantin Vertan

  2. Image Processing and Analysis Laboratory (LAPI), Universitatea Politehnica Bucureşti, P.O. Box 61-73, Bucharest 61, Romania

    Vasile Buzuloiu

Authors
  1. Constantin Vertan
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  2. Vasile Buzuloiu
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Editor information

Editors and Affiliations

  1. Department of Applied Mathematics and Computer Science Fuzziness and Uncertainty Modelling Research Unit, Ghent University, Krijgslaan 281 (S9), 9000, Gent, Belgium

    Etienne E. Kerre  & Mike Nachtegael  & 

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© 2000 Springer-Verlag Berlin Heidelberg

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Vertan, C., Buzuloiu, V. (2000). Fuzzy Nonlinear Filtering of Color Images: A Survey. In: Kerre, E.E., Nachtegael, M. (eds) Fuzzy Techniques in Image Processing. Studies in Fuzziness and Soft Computing, vol 52. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1847-5_9

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  • DOI: https://doi.org/10.1007/978-3-7908-1847-5_9

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2475-9

  • Online ISBN: 978-3-7908-1847-5

  • eBook Packages: Springer Book Archive

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