Discretization of a mathematical model for image analysis based on the optics of spiral beams
The article briefly outlines a mathematical model for recognizing contours of the objects of interest in a raster image. The process of its discretization is discussed in more detail as part of the development of numerical methods that allow the proposed model to be implemented using modern compute...
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Format: | Article |
Language: | English |
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Samara National Research University
2024-04-01
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Series: | Компьютерная оптика |
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Online Access: | https://www.computeroptics.ru/eng/KO/Annot/KO48-2/480206e.html |
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author | S.A. Kishkin S.P. Kotova |
author_facet | S.A. Kishkin S.P. Kotova |
author_sort | S.A. Kishkin |
collection | DOAJ |
description | The article briefly outlines a mathematical model for recognizing contours of the objects of interest in a raster image. The process of its discretization is discussed in more detail as part of the development of numerical methods that allow the proposed model to be implemented using modern computer technology, while achieving real-time performance. Explicit mathematical procedures suitable for writing application software codes are given, an estimate of computational complexity is obtained, and the possibility of achieving real-time performance is confirmed. Results of a numerical experiment on the reconstruction of spiral light beams are presented. |
format | Article |
id | doaj-art-38ac31af1a324fdfadaf034d303c5bc4 |
institution | Kabale University |
issn | 0134-2452 2412-6179 |
language | English |
publishDate | 2024-04-01 |
publisher | Samara National Research University |
record_format | Article |
series | Компьютерная оптика |
spelling | doaj-art-38ac31af1a324fdfadaf034d303c5bc42025-02-04T11:38:31ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792024-04-0148220420910.18287/2412-6179-CO-1365Discretization of a mathematical model for image analysis based on the optics of spiral beamsS.A. Kishkin0S.P. Kotova1MIREA – Russian Technological UniversitySamara Branch of the Physical Institute RASThe article briefly outlines a mathematical model for recognizing contours of the objects of interest in a raster image. The process of its discretization is discussed in more detail as part of the development of numerical methods that allow the proposed model to be implemented using modern computer technology, while achieving real-time performance. Explicit mathematical procedures suitable for writing application software codes are given, an estimate of computational complexity is obtained, and the possibility of achieving real-time performance is confirmed. Results of a numerical experiment on the reconstruction of spiral light beams are presented.https://www.computeroptics.ru/eng/KO/Annot/KO48-2/480206e.htmlcomputer opticsmachine visionimage recognitionspiral light beams |
spellingShingle | S.A. Kishkin S.P. Kotova Discretization of a mathematical model for image analysis based on the optics of spiral beams Компьютерная оптика computer optics machine vision image recognition spiral light beams |
title | Discretization of a mathematical model for image analysis based on the optics of spiral beams |
title_full | Discretization of a mathematical model for image analysis based on the optics of spiral beams |
title_fullStr | Discretization of a mathematical model for image analysis based on the optics of spiral beams |
title_full_unstemmed | Discretization of a mathematical model for image analysis based on the optics of spiral beams |
title_short | Discretization of a mathematical model for image analysis based on the optics of spiral beams |
title_sort | discretization of a mathematical model for image analysis based on the optics of spiral beams |
topic | computer optics machine vision image recognition spiral light beams |
url | https://www.computeroptics.ru/eng/KO/Annot/KO48-2/480206e.html |
work_keys_str_mv | AT sakishkin discretizationofamathematicalmodelforimageanalysisbasedontheopticsofspiralbeams AT spkotova discretizationofamathematicalmodelforimageanalysisbasedontheopticsofspiralbeams |