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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2013, Volume 16, Number 2, Pages 147–163 (Mi sjvm506)  
This article is cited in 3 scientific papers (total in 3 papers)

Using Zernike moments for analysis of images

L. A. Babkinaa, Yu. P. Garmaiab, D. V. Lebedevab, R. A. Pantinaab, M. V. Filatovba, V. V. Isaev-Ivanovab

a Konstantinov Petersburg Nuclear Physics Institute, Russian Academy of Sciences, Gatchina, Russia
b "Biophysics", SPbSU and PNPI RAS, St. Petersburg, Russia
Full-text PDF (1404 kB) Citations (3)
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Abstract: A method for analyzing AFM images of the cell nuclei of higher organisms by expanding these images by Zernike moments is proposed. This method allows for expanding the pilot image by Zernike moments whose spatial harmonics are Zernike polynomials. It is shown that the reverse procedure of image reconstruction using Zernike polynomials converges to the experimental image and the expansion amplitude is a quantitative spectral characteristic when comparing the morphological features of different images. It is shown that expansion amplitudes can be used as input vectors for cluster analysis of images by PCA.
Key words: image analysis, Zernike moments, atomic force microscopy, cell nuclei of higher organisms, PCA.
Received: 10.02.2011
Revised: 28.12.2011
English version:
Numerical Analysis and Applications, 2013, Volume 6, Issue 2, Pages 131–144
DOI: https://doi.org/10.1134/S1995423913020055
Bibliographic databases:
Document Type: Article
UDC: 57.088.5+519.688
Language: Russian
Citation: L. A. Babkina, Yu. P. Garmai, D. V. Lebedev, R. A. Pantina, M. V. Filatov, V. V. Isaev-Ivanov, “Using Zernike moments for analysis of images”, Sib. Zh. Vychisl. Mat., 16:2 (2013), 147–163; Num. Anal. Appl., 6:2 (2013), 131–144
Citation in format AMSBIB
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\by L.~A.~Babkina, Yu.~P.~Garmai, D.~V.~Lebedev, R.~A.~Pantina, M.~V.~Filatov, V.~V.~Isaev-Ivanov
\paper Using Zernike moments for analysis of images
\jour Sib. Zh. Vychisl. Mat.
\yr 2013
\vol 16
\issue 2
\pages 147--163
\mathnet{http://mi.mathnet.ru/sjvm506}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3380116}
\elib{https://elibrary.ru/item.asp?id=20442705}
\transl
\jour Num. Anal. Appl.
\yr 2013
\vol 6
\issue 2
\pages 131--144
\crossref{https://doi.org/10.1134/S1995423913020055}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84878847142}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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