[1]徐旦华,辜嘉,李松毅,等.Zernike矩的快速算法[J].东南大学学报(自然科学版),2002,32(2):189-192.[doi:10.3969/j.issn.1001-0505.2002.02.009]
 Xu Danhua,Gu Jia,Li Songyi,et al.Fast algorithm for computation of Zernike moments[J].Journal of Southeast University (Natural Science Edition),2002,32(2):189-192.[doi:10.3969/j.issn.1001-0505.2002.02.009]
点击复制

Zernike矩的快速算法()
分享到:

《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
32
期数:
2002年第2期
页码:
189-192
栏目:
计算机科学与工程
出版日期:
2002-03-20

文章信息/Info

Title:
Fast algorithm for computation of Zernike moments
作者:
徐旦华 辜嘉 李松毅 舒华忠
东南大学生物科学与医学工程系,南京 210096
Author(s):
Xu Danhua Gu Jia Li Songyi Shu Huazhong
Department of Biology Science and Medical Engineering, Southeast University, Nanjing 210096,China
关键词:
Zernike多项式 Zernike矩 正交矩 快速算法
Keywords:
Zernike polynomials Zernike moments orthogonal moments fast computation
分类号:
TP391
DOI:
10.3969/j.issn.1001-0505.2002.02.009
摘要:
给出了Zernike矩求解的一种快速算法.利用Zernike多项式迭代性质,找出了Zernike正交矩之间的内在关系,这样,高阶的Zernike矩可由低价的Zernike矩求出,再在Chan等人提出的关于一维几何矩有效算法的基础上,得出了一种快速算法.与已有方法相比,该算法大大减少了求解过程中的乘法次数,降低了计算复杂度,从而提高了运算速度和效率; 并可以有效用于模式识别、图像分析及重建等领域中.
Abstract:
By using the recursive property of Zernike polynomials, the inter-relationship between Zernike moments is found, so Zernike moments of higher order could be deduced from those of lower order. Based on an efficient computation about one-dimensional geometric moments suggested by Chan, a fast computation of Zernike moments is concluded, reducing significantly the number of multiplication. The application to some examples shows that it is more efficient than the existing methods, and can be used in the field of pattern recognition and image analysis.

参考文献/References:

[1] Hu M K.Visual pattern recognition by moment invariants [J].IRE Trans Inf Theory,1962,8(1):179-187.
[2] Shu H Z,Luo L M,Yu W X,et al.A new fast method for computing Legendre moments [J]. Pattern Recognition,2000,33(2):341-348.
[3] Shu H Z,Luo L M,Bao X D,et al.An efficient method for computation of Legendre moments [J]. Graphical Models,2000,62:237-262.
[4] Mukundan R,Ramakrishnan K R.Fast computation of Legendre and Zernike moments [J]. Pattern Recognition,1995,28(9):1433-1442.
[5] Teague M R.Image analysis via the general theory of moments [J]. Opt Soc Am, 1980,70(8):920-930.
[6] Khotanzad A,Hong Y H.Rotation invariant image recognition using features selected via a systematic method [J].Pattern Recognition,1990,23(10):1089-1101.
[7] Born M,Wolf E(eds).Principle of optics [M].Oxford:Pergamon Press,1980.465.
[8] Kintner E C.On the mathematical properties of Zernike polynomials [J]. Optica Acta, 1976,23(8):679-680.
[9] Chan F H Y,Lam F K.An all adder systolic structure for fast computation of moments [J].J VLSI Signal Process,1996,12:159-175.

相似文献/References:

[1]姜璐,章品正,舒华忠.矩在面部表情识别中的应用[J].东南大学学报(自然科学版),2004,34(4):557.[doi:10.3969/j.issn.1001-0505.2004.04.030]
 Jiang Lu,Zhang Pinzheng,Shu Huazhong.Moment application to human facial expression recognition[J].Journal of Southeast University (Natural Science Edition),2004,34(2):557.[doi:10.3969/j.issn.1001-0505.2004.04.030]
[2]刘正云,鲍旭东,舒中力,等.模糊Kohonen聚类网络用于骨髓细胞图像分割[J].东南大学学报(自然科学版),2002,32(6):909.[doi:10.3969/j.issn.1001-0505.2002.06.018]
 Liu Zhengyun,Bao Xudong,Shu Zhongli,et al.Fuzzy Kohonen clustering network for medullar cell image segmentation[J].Journal of Southeast University (Natural Science Edition),2002,32(2):909.[doi:10.3969/j.issn.1001-0505.2002.06.018]

备注/Memo

备注/Memo:
基金项目: 教育部青年骨干教师资助项目(2000-2001).
作者简介: 徐旦华(1969—),女,硕士生,工程师; 舒华忠(联系人),教授,博士生导师,Shu.List@seu.edu.cn.
更新日期/Last Update: 2002-03-20