Communications - Scientific Letters of the University of Zilina 2002, 4(3):80-88 | DOI: 10.26552/com.C.2002.3.80-88

Modelling of the Noise Processes

Rastislav Lukac1, Viktor Fischer2, Pavol Galajda1
1 Technical University of Kosice, Faculty of Electronics and Informatics, Department of Electronics and Multimedia Communications, Slovak Republic
2 Traitement du Signal et Instrumentation, France

In this paper, the modelling of noise processes and their application to image processing are described. Thus, the noise effect on useful image information is presented and analysed according to mathematical formulas, the reason of its origin, introduced visual changes and the possibility of their reduction. In order to provide an unbiased view on the noise effect, noise models are supported by a number of object-lesson figures.

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Published: September 30, 2002  Show citation

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Lukac, R., Fischer, V., & Galajda, P. (2002). Modelling of the Noise Processes. Communications - Scientific Letters of the University of Zilina, 4(3), 80-88. doi: 10.26552/com.C.2002.3.80-88
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    References

    1. ARCE, G. R.: Multistage Order Statistic Filters for Image Sequence Processing. IEEE Transactions on Signal Processing, Vol. 39, No. 5, May 1991, pp. 1146-1163. Go to original source...
    2. ASTOLA, J., HAAVISTO, P., NEUVO, Y.: Vector Median Filters. Proceedings of the IEEE, Vol. 78, No. 4, April 1990, pp. 678-689. Go to original source...
    3. ASTOLA, J., KUOSMANEN, P.: Fundamentals of Nonlinear Digital Filtering, CRC Press LLC, 1997.
    4. BERNSTEIN, R.: Adaptive Nonlinear Filters for Simultaneous Removal of Different Kinds of Noise in Images, IEEE Transactions on Circuits and Systems, Vol. Cas-34, No. 11, November 1987, pp. 1275-1291. Go to original source...
    5. DAPONTE, P., HOLCER, R., HORNIAK,L., MICHAELI,L.: Using the Interpolations Method for Noise Shaping AD Converters, Proceedings of the 6-th Euro Workshop on ADC Modelling and Testing EWADC '2001 in Lisbon, Portugal, September 13-14, 2001, pp. 134-137
    6. DRUTAROVSKÝ, M.: Neurónové vážené poriadkové štatistické filtre na báze dekompozičnej architektúry. Kandidátska dizertačná práca, Košice, Jún 1995.
    7. FITCH, J. P., COYLE, E. J., GALLAGHER, N. C.: Median Filtering by Threshold Decomposition. IEEE Transactions on Acoustics Speech and Signal Processing, Vol. ASSP-32, No. 6, December 1984, pp. 1183-1189. Go to original source...
    8. HADHOUD, M. M., THOMAS, D. W.: The Two-Dimensional Adaptive LMS (TDLMS) Algorithm. IEEE Transactions on Circuits Systems, Vol. 35, May 1988, pp. 485-494. Go to original source...
    9. KLEIHORST, R. P., LAGENDIJK, R.L., BIEMOND, J.: Noise Reduction of Image Sequences Using Motion Compensation and Signal Decomposition, IEEE Trans. on Image Processing, Vol. 4, No. 3, 1995, pp. 274-284 Go to original source...
    10. LUKÁČ, R.: Vector LUM Smoothers as Impulse Detector for Color Images. Proceedings of European Conference on Circuit Theory and Design ECCTD '01 "Circuit Paradigm in the 21st Century" in Espoo, Finland, August 28-31, 2001, Vol. III, pp. 137 - 140.
    11. LUKÁČ, R. - MARCHEVSKÝ, S.: LUM Smoother with Smooth Control for Noisy Image Sequences. EURASIP Journal on Applied Signal Processing, Vol. 2001 (7), No. 2, 2001, pp. 110-120. Go to original source...
    12. LUKÁČ, R. - MARCHEVSKÝ, S.: Adaptive Vector LUM Smoother. Proceedings of the 2001 IEEE International Conference on Image Processing ICIP 2001 in Thessaloniki, Greece, October 7-10, 2001, Vol. 1, pp. 878-881.
    13. LUKÁČ, R. - MARCHEVSKÝ, S.: Boolean Expression of LUM Smoothers. IEEE Signal Processing Letters, Vol. 8, No. 11, November 2001, pp. 292-294. Go to original source...
    14. LUKÁČ, R.: Adaptive Impulse Noise Filtering by Using Center-Weighted Directional Information. Proceedings of the 1st European Conference on Color in Graphics, Image and Vision CGIV '2002 in Poitiers, France, April 2-5, 2002, pp. 86-89. Go to original source...
    15. MENDEL, J. M.: Fuzzy Logic Systems for Engineering: A Tutorial. Proceedings of the IEEE, Vol. 83, No. 3, March 1995, pp. 345-378. Go to original source...
    16. MICHAELI, L..: Microcontrollers for Intelligent Signal Conditioning, Proceedings of IMEKO TC-13 Conference "Measurement in the Medicine" in Stara Lesna, Slovakia, September 7-8, 1995, pp. 73-77.
    17. MICHAELI, L.: Modelovanie analógovo číslicových rozhraní. Mercury-Smékal, Košice, 2001.
    18. MOUCHA, V., MARCHEVSKÝ, S., LUKÁČ, R., STUPÁK, Cs.: Číslicová filtrácia obrazových signálov. Edičné stredisko Vojenskej leteckej akadémie gen. M. R. Štefánika v Košiciach, Košice 2000.
    19. OCHODNICKÝ, J., TKÁČ, J.: Neural Kalman Filter in Radar Target Tracking. In: Proceedings of 6th International Workshop IWSSIP 99, Bratislava, June 2-4, 1999, pp. 131-134
    20. OCHODNICKÝ, J., TKÁČ, J., ŠPIRKO, Š.: Radar Target Tracking by Neural Kalman Filter. In: IWSSIP 2001 Proceedings, 8th International Workshop on Systems, Signals and Image Processing, June 7-9, 2001, Bucharest, Romania, pp. 113-116
    21. PITAS, I., TSAKALIDES, P.: Multivariate Ordering in Color Image Filtering. IEEE Transactions on Circuits and Systems for Video Technology, Vol. 1, No. 3, September 1991, pp. 247-259. Go to original source...
    22. PITAS, I. - VENETSANOPOULOS, A.N.: Order Statistics in Digital Image Processing. Proceedings of the IEEE, Vol. 80, No. 12, December 1992, pp. 1892-1919. Go to original source...
    23. PRASAD, M. K., LEE, Y. H.: Stack Filters and Selection Probabilities, IEEE Trans. on Signal Processing, 1994, 42(10), 1994, 2628-2643. Go to original source...
    24. SHINDE, M. - GUPTA, S.: A Model of hf Impulsive Atmospheric Noise. IEEE Trans. Electromag. Compat., Vol. EMC-16, May 1974, pp. 71-75. Go to original source...
    25. STUPÁK, C.: Optimalizácia kompozičných filtrov a fuzzy filtrov na báze genetických algoritmov. Doktorandská dizertačná práca. Košice 2000.
    26. TANG, K., ASTOLA, J., NEUVO, Y.: Nonlinear Multivariate Image Filtering Techniques. IEEE Transactions on Image Processing, Vol. 4, No. 6, June 1995, pp. 788-799. Go to original source...
    27. VIERO, T., OISTAMO, K., NEUVO, Y.: Three-Dimensional Median Related Filters for Color Image Sequence Filtering. IEEE Trans. on CAS for Video Technology, Vol. 4, No. 2, 1994, pp. 129-142 Go to original source...
    28. WIDROW, B. - JOHNSON, C. R.: Stationary and Nonstationary Learning Characteristic of the LMS Adaptive Filter. Proc. IEEE, Vol. 64, August 1976, pp. 1151. Go to original source...
    29. WIENER, N.: Extrapolation, Interpolation and Smoothing of Stationary Time Series. MIT Press Cambridge, Mass, 1949. Go to original source...
    30. WOODS, J. W., RADEWAN, C. H.: Kalman Filtering in Two Dimensions, IEEE Trans. on Information Theory, Vol. IT-23, July 1977, pp. 473-482. Go to original source...
    31. WOODS, J. W., DRAVIDA, S., MEDIAVILLA, R.: Image Estimation Using Doubly Stochastic Gaussian Random Field Models. IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. PAMI-9, No. 2, March 1987, pp. 245-253. Go to original source...
    32. YU, P. T., LIAO, W. H.: Weighed Order Statistics Filters - their classification, some properties, and conversion algorithm', IEEE Trans. on Signal Processing, Vol. 42, No. 10, 1994, pp. 2678-2691. Go to original source...

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