USING A STOCHASTIC BASIS IN SIGNAL AND IMAGE RECOVERY PROBLEMS
V. I. Batishchev, I. I. Volkov, A. G. Zolin
Samara State Technical University, Samara 443100, ul. Molodogvardeiskaya, 244
Keywords: восстановление сигнала, реконструкция изображения, функция рассеяния точки, критерий адекватности, базисная функция, метод наименьших квадратов, signal recovery, image reconstruction, point scattering function, criterion of adequacy, basis function, least squares method
Abstract
This paper touches upon the problems of constructing a basis for stochastic functions, which represent samples of random numbers with a given distribution law. The algorithm for constructing an approximation model with the use of this basis is described. The general algorithm for signal recovery using the stochastic basis by the least squares method with a given weight function is given. The approach to solving the problem of recovery of blurred images with a known point scattering function by constructing an inverse filter model is proposed.
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