UDC 004.932: 519.64
ITERATIVE ALGORITHM FOR FILTERING PERIODIC NOISE OF DIGITAL IMAGES
A. I. Novikov, Dr. Sc. (Tech.), associate professor Department of higher mathematics RSREU, Ryazan, Russia;
orcid.org/0000-0002-8166-8234, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
V. A. Ovchinnikov, student, RSREU, Ryazan, Russia;
orcid.org/0009-0006-6728-2745, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
The aim of the work is to develop and experimentally test a fully automatic iterative algorithm for filtering periodic noise of a digital image based on two-dimensional discrete Fourier transform (DFT). The algorithm is based on the idea of sequential refinement of geometry and sizes of regions in the vicinity of local extremes points of amplitude spectrum corresponding to periodic noise frequencies. The estimation of amplitude spectrum dispersion with correctly «cut out» frequency coefficients should be close to amplitude spectrum dispersion of the image free from periodic noise. This property of the spectra is the basis for the criterion to stop iterative process. Studies of the results of filtering periodic noise in the form of horizontal, vertical, diagonal stripes on the image and their combinations have been carried out
Key words: : periodic noise, discrete Fourier transform, amplitude spectrum, iterative algorithm, frequency rectangle, variance estimation.