РУС ENG

SUBSTANTIAL FOUNDATIONS OF THE MATHEMATICAL MODEL OF A DIGITAL HALFTONE IMAGE

About the magazine

News
Goals and sphere
Founder and publisher
Editorial Board
Licensing conditions
Confidentiality
Attitude towards plagiarism
Publication ethics
Archiving Policy
Subscription


For authors

Instructions for authors
The review process
Copyright
Agreement on the transfer of rights
Editorial fees


Archive

All issues
Search


Contacts

Contacts


Artem Evgenievich Pokintelitsa
Junior Researcher of the Department of Theoretical Research in Artificial Intelligence, Federal State Budget Scientific Institution "Institute of Artificial Intelligence Problems", Donetsk.
283048, 118 b Artyoma str., Donetsk.
Research interests: artificial intelligence, data analysis, information representation.

UDC 51-74:004.932
DOI 10.24412/2413-7383-2024-3-36-43
Language: Russian
Annotation: This paper analyzes the substantial foundations of the mathematical model of a digital halftone image. The process of the model construction is considered. It is indicated that the representation of visual information using a specially ordered set of values of a discretized image function which determines the brightness of the image makes it possible to use mathematical methods of image processing. The ordering function establishes the relationship between the individual elements of a digital image (pixels). It is concluded that the ordering function is the key to extracting useful information from a set of visual data that is being processed.
Keywords: digital image, mathematical model, image processing, visual information representation, modeling.

List of literature:
1. Forsyth D., Ponce J. Computer vision: a modern approach. Moscow et al., Williams, 2004, 926 p.
2. Nikitina A. A., Ulanov S. I. Detection of objects on the ground by intelligent robots in a rapidly changing environment. Problems of Artificial Intelligence, 2023, no. 3 (30). pp. 36-43. DOI: 10.34757/2413-7383.2023.30.3.003
3. Pikalyov Ya. S., Yermolenko T. V. About neural architectures of feature extraction for the problem of object recognition on devices with limited computing power. Problems of Artificial Intelligence, 2023, no. 3 (30). pp. 44-54. DOI: 10.34757/2413-7383.2023.30.3.004
4. Lyakhov P. A., Nagornov N. N., Semyonova N. F., Abdulsalyamova A. S. Development of digital image processing algorithms based on the Winograd method in general form and analysis of their computational complexity. Computer Optics, 2023, no. 47 (1). pp. 68-78. DOI: 10.18287/2412-6179-CO-1146
5. Myshkis A. D. Elements of the theory of mathematical models: writing equations, simplifying equations, choosing solutions. Moscow, URSS, 2009, 191 p.
6. Gashnikov N. I., Glumov N. Y., Ilyasova M. V. et al. Methods of computer image processing. 2nd ed., rev. Ed. V. A. Soyfer. Moscow, FIZMATLIT, 2003, 784 p.
7. Pratt W. Digital image processing. Book 1. Moscow, Mir Publishers, 1982, 312 p.
8. Wolff L. B., Nayar S. K., Oren M. Improved Diffuse Reflection Models for Computer Vision. International Journal of Computer Vision, 1998, no. 1 (30). pp. 55-71. DOI: 10.1023/A:1008017513536
9. Bazhenov A. V., Linets G. I. Digital signal processing. Stavropol, Izdatel'sko-informatsionnyi tsentr "Fabula", 2022, 178 p.
10. Kozlov V. N. Introduction to the mathematical theory of visual perception. Moscow, Mekhmat MGU, 2001, 128 p.

Release: 3(34)'2024
Chapter: ROBOTS, MECHATRONICS AND ROBOTIC SYSTEMS
How to quote: Pokintelitsa A. E. SUBSTANTIAL FOUNDATIONS OF THE MATHEMATICAL MODEL OF A DIGITAL HALFTONE IMAGE [Text] / A. E. Pokintelitsa // Problems of artificial intelligence. - 2024. № 3 (34). - P. 36-43. - http://paijournal.guiaidn.ru/ru/2024/3(34)-4.html