吉林大学学报(工学版) ›› 2014, Vol. 44 ›› Issue (6): 1860-1866.doi: 10.13229/j.cnki.jdxbgxb201406049

Previous Articles     Next Articles

Amendment of Zernike moment fast computation

ZHAI Feng-wen, Muhammad Asim Azim, WANG Yang-ping, DANG Jian-wu   

  1. School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070,China
  • Received:2013-03-27 Online:2014-11-01 Published:2014-11-01

Abstract: In this paper, first, the fast computation algorithm of Zernike moments proposed by Mukundan and Ramakrishnan was amended. Second, the transformation method from pseudo polar coordinates to the Descartes coordinates was proposed. Third, the effects of pretreatment of image on both original algorithm and the amended algorithm were tested. For each image at fixed order and fixed repetition, four moment magnitudes corresponding to the four rotations were obtained. Then the ratio of standard deviation and mean value of the four magnitudes were taken as the evaluation indicator. For comparison, the original algorithm and the amended algorithm each got 5×11 indicators from five selected images. Results show that the amended algorithm has 44 indicators exceeding that of the original algorithm.

Key words: information process, fast computation, Zernike polynomial, Zernike moments

CLC Number: 

  • TP391
[1] Chen Z, Sun S K. A Zernike moment phase based descriptor for local image representation and matching[J]. IEEE Transactions on Image Processing, 2010,19(1): 205-219.
[2] Mikolajczyk K, Tuytelaars T, Schmid C, et al. A comparison of affine region detectors[J]. International Journal of Computer Vision,2005,65(1):43-72.
[3] 郭哲, 张艳宁, 林增刚. 基于扩展二维不变矩的三维人脸特征提取[J]. 吉林大学学报:工学版, 2012,42(2):446-450. Guo Zhe, Zhang Yan-ning, Lin Zeng-gang. 3D face feature extraction based on extended 2D invariant moments[J]. Journal of Jilin University(Engineering and Technology Edition), 2012, 42(2):446-450.
[4] Hu M,Visual K.Pattern recognition by moment invariant[J]. IEEE Transactions on Information Theory, 1962,12(8):179-187.
[5] Ye Bin, Peng Jia-xiong. Analysis and improvement of invariance of Zernike moments[J]. Infrared and Laser Engineering, 2003, 32(1):37-41.
[6] Mukundan R, Ramakrishnan K R. Fast computation of Legendre and Zernike moments[J]. Pattern Recognition, 1995,28(9):1433-1442.
[7] Teague M R. Image analysis via the general theory of moments[J]. Journal of the Optical Society of America, 1980,70(8): 920-930.
[8] 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, 132(12):189-192. Xu Dan-hua, Gu Jia, Li Song-yi, et al. Fast algorithm for computation of Zernike moments[J]. Journal of Southeast University (Natural Science Edition),2002,132(12):189-192.
[9] http://scholar.google.com.hk/scholar?q=+Mukundan+R+%2C+Ramakrishnan.
[10] Li S, Lee M C, Pun C M. Complex Zernike moments features for shape-based image retrieval[J]. IEEE Transactions on Systems, Man and Cybernetics-Part A: Systems and Humans, 2009, 39(1): 227-237.
[11] Singh C,Walia E, Mittal N. Rotation invariant complex Zernike moments features and their applications to human face and character recognition[J]. IET Computer Vision,2011,5(5):255-265.
[1] SU Han-song,DAI Zhi-tao,LIU Gao-hua,ZHANG Qian-fang. Saliency region detection combining absorbing Markov chain and manifold ranking [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1887-1894.
[2] XU Yan,SUN Mei-shuang. Enhancing underwater image based on convolutional neural networks [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1895-1903.
[3] HUANG Yong,YANG De-yun,QIAO Sai,MU Zhen-guo. Target detecting with conjugate CFAR in VHR SAR image [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1904-1909.
[4] LI Ju-peng,ZHANG Zu-cheng,LI Mo-yu,MIAO De-fang. Smooth tracking with a kalman filter algorithm for capacitive touch panels [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1910-1916.
[5] YING Huan,LIU Song-hua,TANG Bo-wen,HAN Li-fang,ZHOU Liang. Efficient deterministic replay technique based on adaptive release strategy [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1917-1924.
[6] LU Zhi-jun,ZHONG Chao,WU Jing-yu. Small feature segmentation method for Spaceborne SAR images [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1925-1930.
[7] LIU Zhong-min,WANG Yang,LI Zhan-ming,HU Wen-jin. Image segmentation algorithm based on SLIC and fast nearest neighbor region merging [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1931-1937.
[8] SHAN Ze-biao,LIU Xiao-song,SHI Hong-wei,WANG Chun-yang,SHI Yao-wu. DOA tracking algorithm using dynamic compressed sensing [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1938-1944.
[9] YAO Hai-yang, WANG Hai-yan, ZHANG Zhi-chen, SHEN Xiao-hong. Reverse-joint signal detection model with double Duffing oscillator [J]. 吉林大学学报(工学版), 2018, 48(4): 1282-1290.
[10] QUAN Wei, HAO Xiao-ming, SUN Ya-dong, BAI Bao-hua, WANG Yu-ting. Development of individual objective lens for head-mounted projective display based on optical system of actual human eye [J]. 吉林大学学报(工学版), 2018, 48(4): 1291-1297.
[11] CHEN Mian-shu, SU Yue, SANG Ai-jun, LI Pei-peng. Image classification methods based on space vector model [J]. 吉林大学学报(工学版), 2018, 48(3): 943-951.
[12] CHEN Tao, CUI Yue-han, GUO Li-min. Improved algorithm of multiple signal classification for single snapshot [J]. 吉林大学学报(工学版), 2018, 48(3): 952-956.
[13] MENG Guang-wei, LI Rong-jia, WANG Xin, ZHOU Li-ming, GU Shuai. Analysis of intensity factors of interface crack in piezoelectric bimaterials [J]. 吉林大学学报(工学版), 2018, 48(2): 500-506.
[14] LIN Jin-hua, WANG Yan-jie, SUN Hong-hai. Improved feature-adaptive subdivision for Catmull-Clark surface model [J]. 吉林大学学报(工学版), 2018, 48(2): 625-632.
[15] WANG Ke, LIU Fu, KANG Bing, HUO Tong-tong, ZHOU Qiu-zhan. Bionic hypocenter localization method inspired by sand scorpion in locating preys [J]. 吉林大学学报(工学版), 2018, 48(2): 633-639.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!