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[1] Gui Zhiguo, Zhang Hui, Chen Beijing, Shu Huazhong, et al. Construction of a complete set of similarity invariantsusing pseudo-Zernike moments [J]. Journal of Southeast University (English Edition), 2011, 27 (2): 148-153. [doi:10.3969/j.issn.1003-7985.2011.02.007]
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Construction of a complete set of similarity invariantsusing pseudo-Zernike moments()
完备伪Zernike矩相似不变量集的构造
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
27
Issue:
2011 2
Page:
148-153
Research Field:
Computer Science and Engineering
Publishing date:
2011-06-30

Info

Title:
Construction of a complete set of similarity invariantsusing pseudo-Zernike moments
完备伪Zernike矩相似不变量集的构造
Author(s):
Gui Zhiguo1;  Zhang Hui2;  Chen Beijing2;  Shu Huazhong2
1National Key Laboratory for Electronic Measurement Technology, North University of China, Taiyuan 030051, China
2Laboratory of Image Science and Technology, Southeast University, Nanjing 210096, China
桂志国1;  张辉2;  陈北京2;  舒华忠2
1中北大学电子测试技术国家重点实验室, 太原030051; 2东南大学影像科学与技术实验室, 南京210096
Keywords:
pseudo-Zernike moments;  completeness;  similarity invariant;  image reconstruction
伪Zernike矩;  完备性;  相似不变量;  图像重构
PACS:
TP391
DOI:
10.3969/j.issn.1003-7985.2011.02.007
Abstract:
To resolve the completeness and independence of an invariant set derived by the traditional method, a systematic method for deriving a complete set of pseudo-Zernike moment similarity(translation, scale and rotation)invariants is described. First, the relationship between pseudo-Zernike moments of the original image and those of the image having the same shape but distinct orientation and scale is established. Based on this relationship, a complete set of similarity invariants can be expressed as a linear combination of the original pseudo-Zernike moments of the same order and lower order. The problem of image reconstruction from a finite set of the pseudo-Zernike moment invariants(PZMIs)is also investigated. Experimental results show that the proposed PZMIs have better performance than complex moment invariants.
为了解决传统方法构造的矩不变量特征集存在的完备性和独立性问题, 提出了一种完备的伪Zernike矩相似变换(旋转、平移和缩放)不变量集的构造方法, 并给出了系统的推导和证明.首先推导了几何变换前后图像的伪Zernike矩之间的关系, 然后基于该关系得到了伪Zernike矩的相似不变量集, 并将其表示成变换前图像的同阶和低阶伪Zernike矩的线性组合.同时, 研究了通过一组有限的伪Zernike矩不变量进行图像重构的问题.实验结果表明, 提出的伪Zernike矩完备不变量集优于复数矩完备不变量集.

References:

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Memo

Memo:
Biography: Gui Zhiguo(1972—), male, doctor, professor, gui_zg@163.com.
Foundation item: The National Natural Science Foundation of China(No.61071192, 61073138).
Citation: Gui Zhiguo, Zhang Hui, Chen Beijing, et al.Construction of a complete set of similarity invariants using pseudo-Zernike moments[J].Journal of Southeast University(English Edition), 2011, 27(2):148-153.[doi:10.3969/j.issn.1003-7985.2011.02.007]
Last Update: 2011-06-20