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Abstract

A new class of nonlinear filters, called vector-directional distance rational hybrid filters (VDDRHF) for multispectral image processing, is introduced and applied to color image-filtering problems. These filters are based on rational functions (RF). The VDDRHF filter is a two-stage filter, which exploits the features of the vector directional distance filter (VDDF), the center weighted vector directional distance filter (CWVDDF) and those of the rational operator. The filter output is a result of vector rational function (VRF) operating on the output of three sub-functions. Two vector directional distance (VDDF) filters and one center weighted vector directional distance filter (CWVDDF) are proposed to be used in the first stage due to their desirable properties, such as, noise attenuation, chromaticity retention, and edges and details preservation. Experimental results show that the new VDDRHF outperforms a number of widely known nonlinear filters for multi-spectral image processing such as the vector median filter (VMF), the generalized vector directional filters (GVDF) and distance directional filters (DDF) with respect to all criteria used.

 

Keywords

Rational functions Vector rational filters Vector median filters Vector directional distance filters

Article Details

How to Cite
Khriji, L. (2005). Vector Directional Distance Rational Hybrid Filters for Color Image Restoration. The Journal of Engineering Research [TJER], 2(1), 1–12. https://doi.org/10.24200/tjer.vol2iss1pp1-12
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References

  1. Astola, J., Haavisto, P. and Neuvo, Y., 1990, "Vector Median Filter," Proceedings of the IEEE , Vol. 78, pp. 678-689.
  2. Astola, J. and Kuosmanen, P., 1997, " Fundamentals of Nonlinear Digital Filtering," CRC Press, Boca Raton, New York.
  3. Eskicioglo, A.M., Fisher, P.S. and Chen, S., 1995, "Image Quality Measures and Their Performance," IEEE Transactions on Communication , Vol. 43, pp. 2959-2965.
  4. Gabbouj, M., Haavisto, P. and Neuvo, Y., 1990 "Recent Advances in Median Filtering," Communications, Control and Signal Processing, E. Arikan, Ed. Ankara, Turkey: Elsevier Science Publishers B.V., Vol. II, pp.1080-1094.
  5. Gonzales, R.C. and Woods, R.E., 2002, "Digital Image Processing," Second Edition, Prentice Hall.
  6. Haralick, R. M. and Shapiro, L.G., 1992, "Computer and Robot Vision," Vol.1, Addison-Wesley, Reading, MA.
  7. Karakos, D.G. and Trahanias, P.E., 1997, "Generalized Multichannel Image-Filtering Structures," IEEE Transactions on Image Processing , Vol. 6(7), pp. 1038-1045.
  8. Khriji, L. and Gabbouj, M., 2001, "Adaptive Order Statistics Rational Hybrid Filters for Multichannel Image Processing," IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, (Special Section: Noise Reduction and Cancellation Techniques), Vol. E84-A (2), pp. 422-431.
  9. Khriji, L., Cheikh, F. A. and Gabbouj, M., 1999, "High Resolution Digital Resampling Using Vector Rational Filters," J. of Optical Engineering , SPIE, Special issue on Sampled Imaging Systems, Vol. 38 (5), pp. 893-901.
  10. Leung, H. and Haykin, S., 1994, "Detection and Estimation Using an Adaptive Rational Function
  11. Filter," I EEE Transactions on Signal Processing, Vol. 42(12), pp. 3366 3376.
  12. Lukac, R., 2002, "Adaptive Impulse Noise Filtering by Using Center-Weighted Directional Information," Proceedings of CGIV'2002 , pp. 86-89.
  13. Machuca, R. and Phillips, K., 1983, "Applications of Vector Fields to Image Processing," IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. PAMI-5, pp. 316-329.
  14. Pitas, I. and Venetsanopoulos, A.N., 1990, "Nonlinear Digital Filters: Principles and Applications," Kluwer Academic , Norwell, MA.
  15. Plataniotis, K.N. and Venetsanopoulos, A.N., 2000, "Color Image Processing and Applications," Springer Verlag, Germany.
  16. Plataniotis, K.N., Androutsos, D. and Venetsanopoulos, A.N., 1998, "Adaptive Multichannel Filters for Colour Image Processing," Signal Processing: Image Communication , Vol. 11, pp. 171-177.
  17. Pratt, W.K., 1991, "Digital Image Processing," John Wiley and Sons, New York.
  18. Trahanias, P.E., Karakos, D.and Venetsanopoulos, A.N., 1996,"Directional Processing of Color Images: Theory and Experimental Results," IEEE Transactions on Image Processing , Vol. 5(6), pp. 868-880.