V.E. Dementiev – Ph.D.(Eng.), Associate Professor, Department «Telecommunications», 

Ulyanovsk State Technical University

E-mail: dve@ulntc.ru, vitawed@mail.ru

The problem of filtering satellite non-uniform images using the recurrent nonlinear filters obtained on the basis of a doubly stochastic autoregressive model is considered. The analysis of the obtained filtering algorithms is performed. A significant advantage of the proposed procedures is shown in comparison with the Kalman and Wiener filters.

1. Gonsales R., Vuds R. Czifrovaya obrabotka izobrazhenij. Izd.3-e. M.: Texnosfera. 2012. 1104 s.
2. Vasil’ev K.K., Krasheninnikov V.R. Statisticheskij analiz izobrazhenij. Ul’yanovsk: UlGTU. 2014. 214 s.
3. Vasil’ev K.K. Optimal’naya obrabotka signalov v diskretnom vremeni. M.: Radiotexnika. 2016. 282 s.
4. Vasil'ev K.K., Dement'ev V.E., Andriyanov N.A. Application of mixed models for solving the problem on restoring and estimating image parameters // Pattern Recognition and Image Analysis (Advances in Mathematical Theory and Applications). 2016. V. 26. № 1. P. 240−247.
5. Vasiliev K.K., Dementiev V.E., Andriyanov N.A. Filtration and restoration of satellite images using doubly stochastic random fields // CEUR Workshop Proceedings. 2017. V. 1814. P. 10−20.
6. Dement’ev V.E. Primenenie dvazhdy’ stoxasticheskix avtoregressionny’x modelej dlya obrabotki sputnikovy’x izobrazhenij // Radiotexnika. 2017. № 6. S. 18−22.
7. Paliy D., Foi A., Bilcu R., Katkovnik V. Denoising and Interpolation of Noisy Bayer Data with Adaptive Cross-Color Filters // SPIE-IS&T Electronic Imaging, Visual Communications and Image Processing. January 2008. V. 6822. San Jose. CA.