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May 2, 2026Pattern Recognition and Image Analysis0 citations

On Three Approximations to the Formal Definition of a Visual Image in an Arbitrary Visual Environment

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ВКВадим Никитович Козлов

Key Points

  • This research seeks to develop a formal definition of a visual image by using approximation methods.
  • Describes three distinct mathematical approaches to define visual images.
  • Focuses on gaps in current definitions and their implications for intelligent systems.
  • Explores the limitations of existing theorem-based methods.
  • Presents three approximations to formalize the concept of a visual image.
  • Highlights the challenges faced due to the lack of a complete definition.

Abstract

Visual image recognition is one of the central tasks for intelligent systems. The advancement of mathematical, theorem-based research methods here is hampered to a significant extent by the lack of a complete and acceptable formal definition of the concept of a visual image in an arbitrary visual environment. This paper presents the idea of an approach to such a definition by successive approximations, and describes three approximations.

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Cite This Study

Вадим Никитович Козлов (2025) studied this question.

synapsesocial.com/papers/69f593f271405d493affebfehttps://doi.org/10.1134/s1054661825700464
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