UDC 621.397
ANALYSIS OF TWO-CHANNEL IMAGE PROCESSING METHODS BASED ON THE KHURGIN-YAKOVLEV REPRESENTATION AND THE SOBOLEV WEIGHTED SPACE
V. T. Dmitriev, Dr. in technical sciences, associate professor, Head of the Department, RSREU, Ryazan, Russia; orcid.org/0000-0001-5521-6886, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
E. S. Cherentaeva, postgraduate student, RSREU, Ryazan, Russia;
orcid.org/0000-0002-5580-3033, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
M. A. Cherentaev, postgraduate student, RSREU, Ryazan, Russia;
orcid.org/0000-0002-0282-7250, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
A comparative analysis of two methods of two-channel image processing based on the application of the Khurgin-Yakovlev representation and Sobolev weight space algorithm, using not only information about the signal, but also about its derivatives, is carried out. The aim of the work is to identify the advantages and limitations of each method in image processing and transmission. The characteristics of synthesizing filters are calculated. As a result of experimental studies on image restoration for the considered methods, the quality of image restoration of various types was assessed. Noise immunity of the considered algorithms to the effects of quantization noise and additive interference in communication channel is analyzed. The au thors show that the method of processing based on Sobolev weight space, using regenerating filters with ex ponential attenuation, has significantly better feasibility, although it is somewhat inferior in accuracy to the Khurgin-Yakovlev representation with ideal filters. As a result of experimental studies, it has been estab lished that both methods provide a significant reduction in the redundancy of transmitted information with out significant deterioration in visual quality.
Key words: : two-channel image processing, Khurgin-Yakovlev representation, Sobolev weight space, syn thesizing filters, image reconstruction, gradient methods, processing using derivatives, noise immunity, im age compression.