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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 61–71
DOI: https://doi.org/10.33048/semi.2020.18.006 (Mi semr1347) 		 
Computational mathematics

Detection of the corner structures in 3D arrays using scalable masks

I. G. Kazantseva, B. O. Mukhametzhanovab, K. T. Iskakovb

a Institute of Computational Mathematics and Mathematical Geophysics, 6, Akademic Lavrentiev ave., Novosibirsk, 630090, Russia
b L.N. Gumilyov Eurasian National University, 2, Satpayev str., Nur-Sultan, 010008, Kazakhstan
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DOI: https://doi.org/10.33048/semi.2020.18.006
Abstract: Scalable masks for the selection of angular structures in three-dimensional (3D) digital images are considered, which are used in processing with a 3D window sliding over the image and convolved with image fragments. The model of scalable 3D mask was developed based on expanding smaller mask along its sides and edges. In this case, the submatrices remain unchanged, and new elements are added by repeating the elements of the submatrix, preserving the structure of the corner. This approach helps to design the hierarchical computations of 3D data.
Keywords: image processing, sliding window, scalable mask, corner detection.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0251-2021-0003
Ministry of Education and Science of the Republic of Kazakhstan AP05133922
The work is supported in the Framework of the State Assignment for the Institute of Computational Mathematics and Mathematical Geophysics of the Siberian Branch of the Russian Academy of Sciences (project no. 0251-2021-0003) and by the Ministry of Science of the Republic Kazakhstan (project no. AP05133922).
Received November 4, 2020, published February 5, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.562
MSC: 68U10
Language: English
Citation: I. G. Kazantsev, B. O. Mukhametzhanova, K. T. Iskakov, “Detection of the corner structures in 3D arrays using scalable masks”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 61–71
Citation in format AMSBIB
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\by I.~G.~Kazantsev, B.~O.~Mukhametzhanova, K.~T.~Iskakov
\paper Detection of the corner structures in 3D arrays using scalable masks
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 61--71
\mathnet{http://mi.mathnet.ru/semr1347}
\crossref{https://doi.org/10.33048/semi.2020.18.006}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000616346500004}
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