Geodesic
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/}
}
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%A V. V. Isaev-Ivanov
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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/