Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2022, Volume 18, Issue 1, Pages 99–110
DOI: https://doi.org/10.21638/11701/spbu10.2022.108
(Mi vspui518)
 

This article is cited in 1 scientific paper (total in 1 paper)

Applied mathematics

Numerical methods and algorithms for reconstruction of holographic images with an flexibility choice of physical size of the object and observation area

A. G. Fedorovab, V. V. Trofimova, A. G. Karpova

a St Petersburg State University, 7–9, Universitetskaya nab., St Petersburg, 199034, Russian Federation
b M. K. Ammosov North-Eastern Federal University, 58, ul. Belinskogo, Yakutsk, Republic of Sakha (Yakutia), 677027, Russian Federation
Full-text PDF (921 kB) Citations (1)
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Abstract: Within the framework of this work, the numerical results of simulation and reconstruction of holographic images with different physical sizes of the object and observation areas are presented. Simple and practical approaches to relatively flexibility choice of physical areas (e. g., units of $m^2$) in both planes are proposed. Algorithms are presented in the case when the dimensions of the plane of the object and observation coincide. Two-step scattering algorithms are presented for the simulation and reconstruction of holographic images with a relatively flexibility choice of the physical areas of the object plane and observation.
Keywords: electron holography, digital image processing, Fourier transform, Fresnel method, angular spectrum method.
Received: October 2, 2021
Accepted: February 1, 2022
Document Type: Article
UDC: 620.187.3.004.932.2
MSC: 05C85
Language: Russian
Citation: A. G. Fedorov, V. V. Trofimov, A. G. Karpov, “Numerical methods and algorithms for reconstruction of holographic images with an flexibility choice of physical size of the object and observation area”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 18:1 (2022), 99–110
Citation in format AMSBIB
\Bibitem{FedTroKar22}
\by A.~G.~Fedorov, V.~V.~Trofimov, A.~G.~Karpov
\paper Numerical methods and algorithms for reconstruction of holographic images with an flexibility choice of physical size of the object and observation area
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2022
\vol 18
\issue 1
\pages 99--110
\mathnet{http://mi.mathnet.ru/vspui518}
\crossref{https://doi.org/10.21638/11701/spbu10.2022.108}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    Abstract page:45
    Full-text PDF :5
    References:10
    First page:3
     
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