Generalized Spectral-Analytical Method and Its Applications in Image Analysis and Pattern Recognition Problems

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...

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Bibliographic Details
Published in:Pattern recognition and image analysis 2019-10, Vol.29 (4), p.621-638
Main Authors: Makhortykh, S. A., Kulikova, L. I., Pankratov, A. N., Tetuev, R. K.
Format: Article
Language:English
Subjects:
Analysis
Arrays
Biomedical data
Chebyshev approximation
Computer Science
Continuity (mathematics)
Data analysis
Data processing
Digital data
Functionals
Functions (mathematics)
Image analysis
Image Processing and Computer Vision
Mathematical analysis
Mathematical Theory of Images and Signals Representing
Object recognition
Pattern analysis
Pattern Recognition
Polynomials
Processing
Recognition and Understanding
Video data
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Summary: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.
ISSN:1054-6618
1555-6212
DOI:10.1134/S1054661819040102