On three initial approximations to the formal definition of a visual image in an arbitrary visual environment

Kozlov Vadim Nikitovich

On three initial approximations to the formal definition of a visual image in an arbitrary visual environment

Kozlov V. N.

Kozlov Vadim Nikitovich

professor, Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Chair of Mathematical Theory of Intellectual Systems

Received: 25 Mar 2026

Published: 2025, vol. 29, issue 3, pp. 146–162

Download full text (In Russian)

Abstract

Visual image recognition is one of the central task for intelligent systems. The advancement of mathematical and theorem-based research methods in this field is significantly hampered by the lack of a complete and acceptable formal definition of the concept of a visual image in any visual environment. This paper presents an approach to such a definition using successive approximations and describes three approximations.

Keywords: visual image, image recognition, affine transformations

BibTeX

@article{IS-Kozlov2025,
  author  = {Kozlov, Vadim Nikitovich},
  title   = {{On three initial approximations to the formal definition of a visual image in an arbitrary visual environment}},
  journal = {Intelligent Systems. Theory and Applications},
  year    = {2025},
  volume  = {29},
  number  = {3},
  pages   = {146--162},
}

AMSBIB

\Bibitem{IS-Kozlov2025}
\by V.\,N.~Kozlov
\paper On three initial approximations to the formal definition of a visual image in an arbitrary visual environment
\jour Intelligent Systems. Theory and Applications
\yr 2025
\vol 29
\issue 3
\pages 146--162
\lang In Russian

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