Image analysis by efficient Gegenbauer moments computation for 3D objects reconstruction

被引:0
作者
Bahaoui Z. [1 ,4 ]
Fadili H.E. [2 ]
Zenkouar K. [1 ,4 ]
Qjidaa H. [3 ]
Zarghili A. [4 ]
机构
[1] Intelligents Systèmes and Applications Laboratory (LSIA), Faculty of Technical Sciences Fez, Sidi Mohamed Ben Abdellah University, Fez
[2] National School of Applied Sciences Appliquées Fez, Sidi Mohamed Ben Abdellah University, Fez
[3] Faculty of Sciences Dhar el Mehraz, Sidi Mohamed Ben Abdellah University, Fez
[4] Applications Laboratory (LSIA), Faculty of Technical Sciences Fez, Sidi Mohamed Ben Abdellah University, Fez
关键词
3D images/object; Computation time; Gegenbauer moments computation; Legendre moments; Zernike moments;
D O I
10.1504/IJICT.2019.099111
中图分类号
学科分类号
摘要
In this paper, we suggest a new technique for fast computation of Gegenbauer orthogonal moments for the reconstruction of 3D images/objects; a typical comparison of the proposed method with the conventional ZOA methods shows significant improvements in term of error reduction, image quality and consumption time. Then we compare our new approach with an existing method using Legendre and Zernike moments in the case of 3D image/object. The obtained results prove that Legendre and Zernike moments are slightly better than Gegenbauer, they are still very efficient and gives very good results in terms of MSE and PSNR. But, Zernike moments have higher computational cost than Gegenbauer moments. Copyright © 2019 Inderscience Enterprises Ltd.
引用
收藏
页码:263 / 276
页数:13
相关论文
共 21 条
[1]  
Abramowiz M., Stegun I.A., Hand Book of Mathematical Functions, (1965)
[2]  
Arvacheh E.M., Tizhoosh H.R., Pattern analysis using Zernike moments, IEEE Instrumentation and Measurement Technology Conference, pp. 1574-1578, (2005)
[3]  
Broumandnia A., Shanbehzadeh J., Fast Zernike wavelet moments for farsi character recognition, Image Vis. Comput., 25, pp. 717-726, (2007)
[4]  
Buchanan J.L., Turner R.R., Numerical Methods and Analysis, (1992)
[5]  
Chong C.W., Paramesran R., Mukundan R., Translation and scale invariants of Legendre moments, Pattern Recognition, 37, 1, pp. 119-129, (2004)
[6]  
Hosny K.M., Exact Legendre moment computation for gray level images, Pattern Recognition, 40, 12, pp. 3597-3605, (2007)
[7]  
Hosny K.M., Image representation using accurate orthogonal Gegenbauer moments, Pattern Recognit. Lett., 32, 6, pp. 795-804, (2011)
[8]  
Hosny K.M., Fast and low-complexity method for exact computation of 3D Legendre moments, Pattern Recognit. Lett., 32, pp. 1305-1314, (2011)
[9]  
Hosny K.M., Hafez M., An algorithm for fast computation of 3D Zernike moments for volumetric images, Mathematical Problems in Engineering, 17, pp. 1-17, (2012)
[10]  
Hu M.K., Visual pattern recognition by moment invariants, IRE. Trans. Inf. Theory, 8, 1, pp. 179-187, (1962)