Rotation moment invariants for recognition of symmetric objects

被引:116
作者
Flusser, Jan [1 ]
Suk, Tomas [1 ]
机构
[1] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague 8, Czech Republic
关键词
complex moments; moment invariants; N-fold rotation symmetry; symmetric objects;
D O I
10.1109/TIP.2006.884913
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, a new set of moment invariants with respect to rotation, translation, and scaling suitable for recognition of objects having N-fold rotation symmetry are presented. Moment invariants described earlier cannot be used for this purpose because most moments of symmetric objects vanish. The invariants proposed here are based on complex moments. Their independence and completeness are proven theoretically and their performance is demonstrated by experiments.
引用
收藏
页码:3784 / 3790
页数:7
相关论文
共 33 条
[21]   A simplified fold number detector for shapes with monotonic radii [J].
Lin, JC .
PATTERN RECOGNITION, 1996, 29 (06) :997-1005
[22]   DETECTING NUMBER OF FOLDS BY A SIMPLE MATHEMATICAL PROPERTY [J].
LIN, JC ;
TSAI, WH ;
CHEN, JA .
PATTERN RECOGNITION LETTERS, 1994, 15 (11) :1081-1088
[23]   MOMENT INVARIANTS [J].
MAITRA, S .
PROCEEDINGS OF THE IEEE, 1979, 67 (04) :697-699
[24]   An iterative solution for object pose parameters using image moments [J].
Mukundan, R ;
Ramakrishnan, KR .
PATTERN RECOGNITION LETTERS, 1996, 17 (12) :1279-1284
[25]  
SHEN D, 2000, 15 INT C PATT REC BA
[26]   Symmetry detection by generalized complex (GC) moments: A close-form solution [J].
Shen, DG ;
Ip, HHS ;
Cheung, KKT ;
Teoh, EK .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1999, 21 (05) :466-476
[27]   IDENTIFICATION AND INSPECTION OF 2-D OBJECTS USING NEW MOMENT-BASED SHAPE DESCRIPTORS [J].
SLUZEK, A .
PATTERN RECOGNITION LETTERS, 1995, 16 (07) :687-697
[28]   IMAGE-ANALYSIS VIA THE GENERAL-THEORY OF MOMENTS [J].
TEAGUE, MR .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1980, 70 (08) :920-930
[29]   ON IMAGE-ANALYSIS BY THE METHODS OF MOMENTS [J].
TEH, CH ;
CHIN, RT .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1988, 10 (04) :496-513
[30]   STATISTICAL PATTERN-RECOGNITION USING EFFICIENT 2-DIMENSIONAL MOMENTS WITH APPLICATIONS TO CHARACTER-RECOGNITION [J].
TSIRIKOLIAS, K ;
MERTZIOS, BG .
PATTERN RECOGNITION, 1993, 26 (06) :877-882