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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Main Authors: S.A. Kishkin, S.P. Kotova
Format: Article
Language:English
Published: Samara National Research University 2024-04-01
Series:Компьютерная оптика
Subjects:
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