Using Zernike moments for analysis of images
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 2, pp. 147-163
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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.
@article{SJVM_2013_16_2_a4,
author = {L. A. Babkina and Yu. P. Garmai and D. V. Lebedev and R. A. Pantina and M. V. Filatov and V. V. Isaev-Ivanov},
title = {Using {Zernike} moments for analysis of images},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {147--163},
publisher = {mathdoc},
volume = {16},
number = {2},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2013_16_2_a4/}
}
TY - JOUR AU - L. A. Babkina AU - Yu. P. Garmai AU - D. V. Lebedev AU - R. A. Pantina AU - M. V. Filatov AU - V. V. Isaev-Ivanov TI - Using Zernike moments for analysis of images JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2013 SP - 147 EP - 163 VL - 16 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2013_16_2_a4/ LA - ru ID - SJVM_2013_16_2_a4 ER -
%0 Journal Article %A L. A. Babkina %A Yu. P. Garmai %A D. V. Lebedev %A R. A. Pantina %A M. V. Filatov %A V. V. Isaev-Ivanov %T Using Zernike moments for analysis of images %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2013 %P 147-163 %V 16 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2013_16_2_a4/ %G ru %F SJVM_2013_16_2_a4
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. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 2, pp. 147-163. http://geodesic.mathdoc.fr/item/SJVM_2013_16_2_a4/