Errata and comments on "Generic orthogonal moments: Jacobi-Fourier moments for invariant image description"

被引:19
|
作者
Hoang, Thai V. [1 ]
Tabbone, Salvatore [2 ]
机构
[1] Inria Nancy Grand Est, Bur B127, F-54600 Villers Les Nancy, France
[2] Univ Lorraine, LORIA, F-54506 Vandoeuvre Les Nancy, France
关键词
Jacobi polynomials; Legendre polynomials; Chebyshev polynomials; Zernike moments; Pseudo-Zernike moments; Orthogonal Fourier-Mellin moments; Chebyshev-Fourier moments; Pseudo-Jacobi-Fourier moments; RECOGNITION;
D O I
10.1016/j.patcog.2013.04.011
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Ping et al. [Z. Ping, H. Ren, J. Zou, Y. Sheng, and W. Bo, Generic orthogonal moments: Jacobi-Fourier moments for invariant image description, Pattern Recognition 40 (4) (2007) 1245-1254] made a landmark contribution to the theory of two-dimensional orthogonal moments confined to the unit disk by unifying the radial kernels of existing polynomial-based circular orthogonal moments under the roof of shifted Jacobi polynomials. However, the work contains some errata that result mainly from the confusion between the two slightly different definitions of shifted Jacobi polynomials in the literature. Taking into account the great importance and the high impact of the work in the pattern recognition community, this paper points out the confusing points, corrects the errors, and gives some other relevant comments. The corrections developed in this paper are illustrated by some experimental evidence. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3148 / 3155
页数:8
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