Article 5411

Title of the article

 ITERATION METHOD OF OPTIMAL NONLINEAR IMAGE FILTERING

Authors

Shcherbakov Mikhail Alexandrovich, Doctor of engineering sciences, professor, head of sub-department of automation and remote control, Penza State University, mush@sura.ru 

Index UDK

681.5.015.52+621.372.542 

Abstract

The article considers construction of optimal nonlinear filter in the category of polynomial filters, based on Volterra multidimensional functional rows. On the basis of applying matrix representation of polynomial filters the author formulates a problem of the optimal filtration, which is reduced to minimization of quadratic function on the linear subspace with limitations given. The researcher offers an iteration method of progressive approximation, allowing to decompose the initial problem of high dimensionality to a set of problems of smaller dimensionality, dealing with finding separate component coefficients of a polynomial filter. The article also shows the convergence of the iteration process to the sought solution of the problem of finding optimal coefficients of a polynomial filter. 

Key words

image nonlinear filtration, Volterra rows, polynomial filters. 

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Дата создания: 26.08.2014 08:04
Дата обновления: 26.08.2014 11:05