2518-1092Research result. Information technologies2518-109210.18413/2518-1092-2019-4-1-0-11637COMPUTER SIMULATIONIMAGES PRESENTATION BASED ON SUBBAND COSINE TRANSFORM MATRIX EIGENVECTORS BASISIMAGES PRESENTATION BASED ON SUBBAND COSINE TRANSFORM MATRIX EIGENVECTORS BASISChernomoretsDaria AndreevnaChernomoretsDaria Andreevnadaria013ch@yandex.ruBolgovaEvgeniya VitalievnaBolgovaEvgeniya VitalievnaBolgova_e@bsuedu.ruChernomoretsAndrey AlekseevichChernomoretsAndrey AlekseevichChernomorets@bsu.edu.ruBarsukAlexey AlexandrovichBarsukAlexey Alexandrovich20194100

We propose an original orthonormal basis composed of the eigenvectors of subband cosine transform matrices corresponding to a given subdomain of the cosine transform definition domain. The decomposition of digital images onto vectors of the proposed basis is shown. The concept of basic images in the two-dimensional basis of eigenvectors of subband cosine transform matrices is introduced. The properties of the basis images and image decomposition coefficients according to the proposed basis are shown. The results of computational experiments that demonstrate the features of the distribution of the values of the obtained image decomposition coefficients are presented.

We propose an original orthonormal basis composed of the eigenvectors of subband cosine transform matrices corresponding to a given subdomain of the cosine transform definition domain. The decomposition of digital images onto vectors of the proposed basis is shown. The concept of basic images in the two-dimensional basis of eigenvectors of subband cosine transform matrices is introduced. The properties of the basis images and image decomposition coefficients according to the proposed basis are shown. The results of computational experiments that demonstrate the features of the distribution of the values of the obtained image decomposition coefficients are presented.

imagecosine transformsubband matricesdecomposition coefficientseigenvectorsimagecosine transformsubband matricesdecomposition coefficientseigenvectors

Исследование выполнено при финансовой поддержке РФФИ в рамках научного проекта № 19-07-00657.

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