@ARTICLE{Babkina2013131,
author={Babkina, L.A. and Garmai, Y.P. and Lebedev, D.V. and Pantina, R.A. and Filatov, M.V. and Isaev-Ivanov, V.V.},
title={Using Zernike moments for analysis of images},
journal={Numerical Analysis and Applications},
year={2013},
volume={6},
number={2},
pages={131-144},
doi={10.1134/S1995423913020055},
note={cited By 2},
url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84878847142&doi=10.1134%2fS1995423913020055&partnerID=40&md5=ae022d86a3cfca1a839a87e852e65b87},
affiliation={Konstantinov Petersburg Nuclear Physics Institute, Russian Academy of Sciences, Gatchina, Russian Federation; Biophysics Scientific-Educational Structure at the St. Petersburg State Polytechnic University, Konstantinov Petersburg Nuclear Physics Institute, St. Petersburg, Russian Federation},
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 in 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. © 2013 Pleiades Publishing, Ltd.},
author_keywords={atomic force microscopy;  cell nuclei of higher organisms;  image analysis;  PCA;  Zernike moments},
funding_details={Ministry of Education and Science of the Russian Federation2.2.1.1/1166},
}

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