3D rotation invariants by complex moments

被引：17
|
作者：
Suk, Tomas [1 ]
Flusser, Jan [1 ]
Boldys, Jiri [1 ]
机构：
[1] Inst Informat Theory & Automat CAS, Prague 18208 8, Czech Republic
来源：
PATTERN RECOGNITION | 2015年 / 48卷 / 11期
关键词：
Complex moment; Spherical harmonic; Group representation theory; 3D rotation invariant; RECOGNITION; FORMS;
D O I：
10.1016/j.patcog.2015.05.007
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A generalization of the complex moments from 2D to 3D is described. Group representation theory is used to construct 3D rotation invariants from them. The algorithm for automatic generating of the invariants of higher orders is proposed. An algorithm for automatic generation of higher order invariants is proposed. The linearly dependent invariants are eliminated. The invariants are experimentally tested on 3D graphical models and also on real volumetric data. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3516 / 3526
页数：11
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