ESTIMATION OF OPTIMAL PARAMETERS OF THE MULTIPLICATIVE ALGORITHM OF IMAGE WAVELET FILTERING
Yu. E. Voskoboinikov1,2
1Novosibirsk State University of Architecture and Civil Engineering, 630008, Novosibirsk, ul. Leningradskaya, 113
2Novosibirsk State Technical University, 630073, Novosibirsk, prosp. Karla Marksa, 20
Keywords: вейвлет-представление изображений, мультипликативные алгоритмы вейвлет-фильтрации изображений, фильтрующие множители, выбор оптимального параметра фильтрующих множителей, images wavelet representation, multiplicative algorithms image wavelet filtering, filtering factors, the choice of the optimal parameter of filtering factors
Abstract
In most widely used wavelet filtering algorithms, the decomposition coefficients are processed with the use of threshold functions, which makes it possible to account for the ``energy” feature of each expansion coefficient. To some extent, this disadvantage is removed in a class of multiplicative algorithms, which account for the energy of expansion coefficients located in a given proximity from a processed expansion coefficient. However, the effective error minimization in image wavelet filtering requires that a parameter, the choice of the optimal value of which remains to be an unsolved problem, is introduced into these processing algorithms. Therefore, the problem solved in this paper is the estimation of the optimal value of this parameter, which minimizes the root-mean-square error of the filtering. The performed studies showed the effectiveness of the proposed estimation algorithm and the possibility of its use in practice.
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