INTERPOLATION FILTER OF NONLINEAR ESTIMATION OF THE PHASE COORDINATES OF TRACKED OBJECTS IN TWO-DIMENSIONAL IMAGES
A. N. Katulev1, M. F. Malevinskii2
1Research Center of the Central Research Institute of Aerospace Defense of the Ministry of Defense of Russia, Naberezhnaya Afanasiya Nikitina 32, Tver, 170026 Russia
2Tver State University, ul. Zhelyabova 33, Tver, 170100 Russia
Keywords: интерполяционный, рекуррентный, нелинейный, адаптивный фильтры, interpolation, recurrent, nonlinear, adaptive filters
Abstract
A method of nonlinear estimation of the coordinates of the geometric center of objects tracked in two-dimensional optoelectronic images is considered. The dynamics of the object and measurements of the geometric center of objects in optoelectronic images are described by nonlinear difference equations. Nonlinearities can be smooth and nonsmooth functions. The method is based on the normal correlation theorem and the approximation of solutions of the equations by Lagrange interpolation polynomials with adaptive selection of their orders. Modeling has shown that the interpolation method is more accurate than the known nonlinear unscented Kalman filter.
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