STOCHASTIC MATRIX-ITERATIVE METHOD AND ITS APPLICATION IN THE IMAGES PROCESSING
The article deals with a new method for solving the set of linear algebraic equations (SLAE). It is a stochastic matrix-iterative method. This method is designed for solving a wide class of problems in which measurement errors are presented.When the SLAE is represented as a vector-matrix equation, the desired variables are united into vector-original. Theapplicability of the method is limited by the type of the vector-original being restored: the main part of its componentsshould be equal to the known background value, and a limited number of components should exceed this value. Whenprocessing images, this condition means that we have a limited number of bright objects on a constant background.The application of the proposed method is been demonstrated on the examples of restoration of the blurry and noisedimages. The task is converted to SLAE, in which the vector-image is a row-column scan of the distorted image, and the beingreconstructed vector-original is the row-column scan of the original undistorted image. Computer simulation have beenperformed in the MATLAB medium, which made it possible to determine the optimal parameters of the stochastic matrix-iterative method and to demonstrate its advantages under conditions of additive noise.Such conditions are the small image fullness with objects and a large fullness with background values. The influence of additive noise and a priori uncertainty were not considered.