Застосування рядів Фур’є в комп’ютерній графіці для автоматизації та контролю за технологічними процесами у нафтогазовій промисловості

Abstract

The paper is devoted to application of the Fourier’s rows in computer graphics in oil and gas industry  as two measured  images can be represented, as a two measured signal, in spite of the fact that in an analog form this signal is endless, in discrete he is marked only in the points of bitmapped image. The algorithm of compression, used at format of saving of the JPEG image, is offered and developed, built on the basis of discrete cosines transformation, in avoidance of the Gibbs phenomenon. Actuality of researches of the periodic functions  decomposed on a spectrum is grounded, that is the physical analogue of mathematical expositions.