Fast computation of pseudo Zernike moments

被引:23
作者
Al-Rawi, Mohammed Sadiq [1 ]
机构
[1] Univ Aveiro, IEETA, P-3810193 Aveiro, Portugal
关键词
Pseudo Zernike moments; Fast algorithm; Image recognition; Image reconstruction; Orthogonal moments; Symmetry; IMAGE-ANALYSIS; RECOGNITION;
D O I
10.1007/s11554-009-0118-0
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
A fast and numerically stable method to compute pseudo Zernike moments is proposed in this paper. Several pseudo Zernike moment computation architectures are also implemented and some have overflow problems when high orders are computed. In addition, a correction to a previous two stage p-recursive pseudo Zernike radial polynomial algorithm is introduced. The newly proposed method that is based on computing pseudo Zernike radial polynomials through their relation to Zernike radial polynomials is found to be one and half times faster than the best algorithm reported up to date.
引用
收藏
页码:3 / 10
页数:8
相关论文
共 18 条
[1]   IMAGE NORMALIZATION BY COMPLEX MOMENTS [J].
ABUMOSTAFA, YS ;
PSALTIS, D .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1985, 7 (01) :46-55
[2]   Fast Zernike moments [J].
Al-Rawi, Mohammed .
JOURNAL OF REAL-TIME IMAGE PROCESSING, 2008, 3 (1-2) :89-96
[3]   ON THE CIRCLE POLYNOMIALS OF ZERNIKE AND RELATED ORTHOGONAL SETS [J].
BHATIA, AB ;
WOLF, E .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1954, 50 (01) :40-48
[4]   VISUAL-PATTERN RECOGNITION BY MOMENT INVARIANTS [J].
HU, M .
IRE TRANSACTIONS ON INFORMATION THEORY, 1962, 8 (02) :179-&
[5]   A novel approach to the fast computation of Zernike moments [J].
Hwang, Sun-Kyoo ;
Kim, Whoi-Yul .
PATTERN RECOGNITION, 2006, 39 (11) :2065-2076
[6]   COMPUTATION OF LEGENDRE AND ZERNIKE MOMENTS [J].
MUKUNDAN, R ;
RAMAKRISHNAN, KR .
PATTERN RECOGNITION, 1995, 28 (09) :1433-1442
[7]   Image analysis by Tchebichef moments [J].
Mukundan, R ;
Ong, SH ;
Lee, PA .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2001, 10 (09) :1357-1364
[8]  
Pang YH, 2006, J RES PRACT INF TECH, V38, P197
[9]  
Pawlak M., 2006, Image Analysis by Moments: Reconstruction and Computational Aspects
[10]   Generic orthogonal moments: Jacobi-Fourier moments for invariant image description [J].
Ping, Ziliang ;
Ren, Haiping ;
Zou, Jian ;
Sheng, Yunlong ;
Bo, Wurigen .
PATTERN RECOGNITION, 2007, 40 (04) :1245-1254