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基于黎曼流形的平面目标识别
Alternative TitlePlanar Object Recognition Based on Riemannian Manifold
李广伟; 刘云鹏; 尹健; 史泽林
Department光电信息研究室
Source Publication自动化学报
ISSN1874-1029
2010
Volume36Issue:4Pages:465-474
Indexed ByEI ; CSCD
EI Accession number20102112958786
CSCD IDCSCD:3957137
Contribution Rank1
Funding Organization国家自然科学基金(60603097); 中国科学院国防科技创新基金(CXJJ-65)资助~~
Keyword黎曼流形 目标识别 射影变换 李群 流形优化
Abstract平面目标识别中的几何形变可用射影变换群描述.与紧致李群SO(n,R)不同,正则化的射影变换群,即非紧致李群SL(n,R)上由黎曼度量决定的黎曼指数映射不同于由单参数子群决定的李群指数映射.基于黎曼流形优化算法得到取值于特殊线性群SL(3,R)的样本的内蕴均值和协方差矩阵,并依此构建李群正态分布.利用此先验知识,根据贝叶斯定理进行简单背景下的平面目标的识别实验.结果表明,利用射影变换群的统计特性可有效提高平面目标识别的成功率.
Other AbstractThe 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 res...
Language中文
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Document Type期刊论文
Identifierhttp://ir.sia.cn/handle/173321/7130
Collection光电信息技术研究室
Corresponding Author李广伟
Affiliation1.中国科学院沈阳自动化研究所
2.青岛大学管理科学与工程系
3.中国科学院研究生院
4.空军装备研究院总体所
Recommended Citation
GB/T 7714
李广伟,刘云鹏,尹健,等. 基于黎曼流形的平面目标识别[J]. 自动化学报,2010,36(4):465-474.
APA 李广伟,刘云鹏,尹健,&史泽林.(2010).基于黎曼流形的平面目标识别.自动化学报,36(4),465-474.
MLA 李广伟,et al."基于黎曼流形的平面目标识别".自动化学报 36.4(2010):465-474.
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