Generalized Spectral-Analytical Method and Its Applications in Image Analysis and Pattern Recognition Problems
- Authors: Makhortykh S.A.1, Kulikova L.I.1, Pankratov A.N.1, Tetuev R.K.1
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Affiliations:
- Institute of Mathematical Problems of Biology, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Issue: Vol 29, No 4 (2019)
- Pages: 621-638
- Section: Mathematical Theory of Images and Signals Representing, Processing, Analysis, Recognition and Understanding
- URL: https://journals.rcsi.science/1054-6618/article/view/195723
- DOI: https://doi.org/10.1134/S1054661819040102
- ID: 195723
Cite item
Abstract
The generalized spectral-analytical method as a new approach to the processing of information arrays is stated. Some theoretical foundations of this method and its applications in different experimental data analysis problems are given. The method is based on the adaptive expansion of initial arrays in the functional bases belonging to the classical algebraic systems of polynomials and functions of continuous and discrete arguments (Jacobi, Chebyshev, Lagrange, Laguerre, Kravchuk, Charlier, and other polynomials). This approach combines analytical and digital data-processing procedures, thus providing a basis for the universal combined technology for the processing of information arrays. An appreciable part of this review is devoted to video data analysis and pattern-recognition problems. In addition, some relevant applications of this method in biomedical and bioinformation data analysis, recognition, classification, and diagnosis problems are described.
About the authors
S. A. Makhortykh
Institute of Mathematical Problems of Biology, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Author for correspondence.
Email: makh@impb.ru
Russian Federation, Pushchino, Moscow oblast, 142290
L. I. Kulikova
Institute of Mathematical Problems of Biology, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Email: makh@impb.ru
Russian Federation, Pushchino, Moscow oblast, 142290
A. N. Pankratov
Institute of Mathematical Problems of Biology, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Email: makh@impb.ru
Russian Federation, Pushchino, Moscow oblast, 142290
R. K. Tetuev
Institute of Mathematical Problems of Biology, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Email: makh@impb.ru
Russian Federation, Pushchino, Moscow oblast, 142290