Synthesis of neural pulse interference filters for image restoration

Authors

  • E. B. Solovyeva Saint Petersburg Electrotechnical University "LETI", Russian Federation
  • S. A. Degtyarev Saint Petersburg Electrotechnical University "LETI", Russian Federation

DOI:

https://doi.org/10.3103/S0735272708120054

Abstract

The synthesis of nonlinear pulse interference filters in the form of three-layer and polynomial perceptrons has been considered in this study. Neural filters were used for removing the “salt and pepper”-type pulse interference from half-tone images. It was shown that a three-layer perceptron filter in terms of the filtration accuracy is not inferior to its polynomial analogues and its mathematical model is mush simpler than the Volterra model. Neural and polynomial filters ensure a higher level of pulse interference suppression as compared with median filters.

References

T. S. Huang, J.-O. Eklundh, G. J. Nussbaumer, et al., Two-Dimensional Digital Signal Processing II (Springer-Verlag, Berlin–Heidelberg–New York, 1981; Radio i Svyaz’, 1984, Moscow) [ed. by T. S. Huang].

R. Gonzalez and R. Woods, Digital Image Processing (Prentice-Hall, New Jersey, 2002; Tekhnosfera, Moscow, 2005).

R. Gonzalez, R. Woods, and S. Eddins, Digital Image Processing using MATLAB (Prentice-Hall, New Jersey, 2004; Tekhnosfera, Moscow, 2006).

G. Ramponi and L. Sicuranza, “Quadratic digital filters for image processing,” IEEE Trans. Acoust., Speech, Signal Process. 36, No. 6, 937 (1988).

M. A. Shcherbakov, V. B. Steshenko, and D. A. Gubanov, “Digital polynomial filtration in real time: algorithms and realization techniques based on the state-of-the-art circuitry,” Tsifrovaya Obrabotka Signalov, No. 1, 19 (2000).

A. A. Lanne and E. B. Solov’eva, “Nonlinear filtration of pulse interferences by the split method,” Radioelectron. Commun. Syst. 42(7), 1 (1999).

A. A. Lanne and E. B. Solov’eva, “Nonlinear filtration of images with pulse interferences (theoretical principles),” Radioelectron. Commun. Syst. 43(3), 1 (2000).

A. A. Lanne and E. B. Solov’eva, “Nonlinear filtration of images with pulse interferences (examples of realization),” Radioelectron. Commun. Syst. 43(4), 1 (2000).

T. Chen and H. Chen, “Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems,” IEEE Trans. Neural Networks 6, No. 4, 911 (1995).

Z. Xiang, G. Bi, and T. Le–Ngoc, “Polynomial–perceptrons and their applications to fading channel equalization and co–channel interference suppression,” IEEE Trans. Circuits, Syst. 42, No. 9, 2470 (1994).

S. Osovskii, Neural Networks for Data Processing (Finansy i Statistika, Moscow, 2002) [in Russian].

V. J. Mathews and G. L. Sicuranza, Polynomial Signal Processing (John Wiley&Sons Inc., New York, 2000).

V. D’yakonov and I. Abramenkova, MATLAB. Signal and Image Processing. Special Reference Book (Piter, St. Petersburg, 2002) [in Russian].

V. S. Medvedev and V. G. Potemkin, Neural Networks. MATLAB 6 (DIALOG–MIFI, Moscow, 2002) [in Russian].

A. L. Priorov, I. V. Apal’kov, S. S. Bukhtoyarov, and V. V. Khryashchev, “Switched median filter with a unit of preliminary detection,” Tsifrovaya Obrabotka Signalov, No. 4, 2 (2006).

Published

2008-12-05

Issue

Section

Research Articles