Planar object recognition based on Riemannian manifold

被引：2
|
作者：
Li G.-W. [1 ,2 ,3 ]
Liu Y.-P. [1 ,3 ]
Yin J. [4 ]
Shi Z.-L. [1 ]
机构：
[1] Shenyang Institute of Automation, Chinese Academy of Sciences
[2] Department of Management Science and Engineering, Qingdao University
[3] Graduate University, Chinese Academy of Sciences
[4] Research Institute on General Development and Argumentation of Equipment of Air Force
来源：
Zidonghua Xuebao/ Acta Automatica Sinica | 2010年 / 36卷 / 04期
关键词：
Lie group; Manifold optimization; Object recognition; Projective transformation; Riemannian manifold;
D O I：
10.3724/SP.J.1004.2010.00465
中图分类号：
学科分类号：
摘要：
The geometric warps between planar objects can be represented by projective Lie groups. Compared with the compact Lie group SO(n,R), the Riemannian exponential map on the noncompact Lie group SL(n,R) determined by a Riemannian metric is usually different from the Lie group exponential map determined by one-parameter subgroups. We compute the samples' intrinsic means on the special linear group SL(3,R) based on the Riemannian manifold optimum algorithm and propose the Lie group norm distribution. The test results of the planar object recognition in the simple background, which is based on the full Bayes statistical rule, have shown that the proposed algorithm with the intrinsic statistical property of the projective group may improve the rate of recognition effectively. Copyright © 2010 Acta Automatica Sinica. All rights reserved.
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收藏
页码：465 / 474
页数：9
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