Using Zernike moments for analysis of images

Babkina L.A.; Garmai Y.P.; Lebedev D.V.; Pantina R.A.; Filatov M.V.; Isaev-Ivanov V.V.

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Using Zernike moments for analysis of images

机译：使用Zernike矩进行图像分析

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摘要

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.

机译：提出了一种通过利用Zernike矩扩展这些图像来分析高等生物细胞核的AFM图像的方法。该方法允许通过空间谐波为Zernike多项式的Zernike矩扩展导频图像。结果表明，使用Zernike多项式进行图像重建的逆过程收敛于实验图像，并且在比较不同图像的形态特征时，扩展幅度是定量的光谱特征。结果表明，扩展幅度可以用作PCA对图像进行聚类分析的输入向量。

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来源
《Numerical analysis and applications》 |2013年第2期|共14页
作者
Babkina L.A.; Garmai Y.P.; Lebedev D.V.; Pantina R.A.; Filatov M.V.; Isaev-Ivanov V.V.;
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原文格式 PDF
正文语种 eng
中图分类 51.9;
关键词
atomic force microscopy; cell nuclei of higher organisms; image analysis; PCA; Zernike moments;

机译：原子力显微镜;高等生物的细胞核;图像分析;PCA;泽尼克矩;

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1. Combined Zernike Moment and Multiscale Analysis for Tamper Detection in Digital Images [J] . Thuong Le-Tien, Tu Huynh-Kha, Long Pham-Cong-Hoan, Informatica: An International Journal of Computing and Informatics . 2017,第1期

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2. Using Zernike moments for analysis of images [J] . Babkina L.A., Garmai Y.P., Lebedev D.V., Numerical analysis and applications . 2013,第2期

机译：使用Zernike矩进行图像分析
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Using Zernike moments for analysis of images

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