Image representation using separable two-dimensional continuous and discrete orthogonal moments

2012 ◽  
Vol 45 (4) ◽  
pp. 1540-1558 ◽  
Author(s):  
Hongqing Zhu
Keyword(s):  
Image Representation ◽  
Two Dimensional ◽  
Orthogonal Moments ◽  
Discrete Orthogonal

scholarly journals 3D Image Representation Using Separable Discrete Orthogonal Moments

2019 ◽  
Vol 148 ◽  
pp. 389-398 ◽  
Author(s):  
Imad Batioua ◽  
Rachid Benouini ◽  
Khalid Zenkouar ◽  
Said Najah ◽  
Hakim El Fadili ◽  
...  
Keyword(s):  
Image Representation ◽  
3D Image ◽  
Orthogonal Moments ◽  
Discrete Orthogonal

Fast Reconstruction of 3D Images Using Charlier Discrete Orthogonal Moments

2019 ◽  
Vol 38 (8) ◽  
pp. 3715-3742 ◽  
Author(s):  
Hicham Karmouni ◽  
Tarik Jahid ◽  
Mhamed Sayyouri ◽  
Abdeslam Hmimid ◽  
Hassan Qjidaa
Keyword(s):  
3D Images ◽  
Orthogonal Moments ◽  
Discrete Orthogonal ◽  
Fast Reconstruction

scholarly journals Bivariate Hahn moments for image reconstruction

2014 ◽  
Vol 24 (2) ◽  
pp. 417-428 ◽  
Author(s):  
Haiyong Wu ◽  
Senlin Yan
Keyword(s):  
Image Reconstruction ◽  
Numerical Stability ◽  
Parameter Selection ◽  
Experimental Results ◽  
Grayscale Image ◽  
Orthogonal Moments ◽  
Binary Images ◽  
Hahn Polynomials ◽  
Discrete Orthogonal ◽  
Computational Aspects

Abstract This paper presents a new set of bivariate discrete orthogonal moments which are based on bivariate Hahn polynomials with non-separable basis. The polynomials are scaled to ensure numerical stability. Their computational aspects are discussed in detail. The principle of parameter selection is established by analyzing several plots of polynomials with different kinds of parameters. Appropriate parameters of binary images and a grayscale image are obtained through experimental results. The performance of the proposed moments in describing images is investigated through several image reconstruction experiments, including noisy and noise-free conditions. Comparisons with existing discrete orthogonal moments are also presented. The experimental results show that the proposed moments outperform slightly separable Hahn moments for higher orders.

3D image analysis by separable discrete orthogonal moments based on Krawtchouk and Tchebichef polynomials

2017 ◽  
Vol 71 ◽  
pp. 264-277 ◽  
Author(s):  
Imad Batioua ◽  
Rachid Benouini ◽  
Khalid Zenkouar ◽  
Azeddine Zahi ◽  
El Fadili Hakim
Keyword(s):  
Image Analysis ◽  
3D Image ◽  
Orthogonal Moments ◽  
3D Image Analysis ◽  
Discrete Orthogonal
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