DOI:
10.18413/2518-1092-2019-4-1-0-1
IMAGES PRESENTATION BASED ON SUBBAND COSINE TRANSFORM MATRIX EIGENVECTORS BASIS
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.
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1. Chernomorets, A.A. On the analysis of data based on the cosine transformation [Text] / А.А. Chernomorets, E.V. Bolgova // Scientific bulletins of the Belgorod State University. Economy. Information technologies. - 2015. - № 1(198). - Vol. 33/1. - pp. 68-73.
2. Bolgova, E.V. The properties of subinterval matrices for a two-dimensional cosine transform [Text] / E.V. Bolgova // Information systems and technologies. - 2017. - № 6(104). - p. 19-28.
3. Bolgova, E.V. About the eigenvalues of cosine transform subinterval matrices [Text] / E.V. Bolgova // Scientific bulletins of the Belgorod State University. Economy. Information technologies. - 2017 - No. 2(251). - Vol. 41. P. 92-101.
4. Bolgova, E.V. About cosine transform energy concentration [Text] / E.V. Bolgova // Scientific bulletins of the Belgorod State University. Economy. Information technologies. - 2017. - No. 9(258). - Vol. 42. - p. 111-121.
5. Ahmed, N. Orthogonal transformations in digital signal processing [Text] / N. Ahmed, K.R. Rao. - M.: Svyaz, 1980. - 248 p.
Исследование выполнено при финансовой поддержке РФФИ в рамках научного проекта № 19-07-00657.