CASIA OpenIR  > 09年以前成果
The invariant representations of a quadric cone and a twisted cubic
Wu, YH; Hu, ZY
2003-10-01
发表期刊IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
卷号25期号:10页码:1329-1332
文章类型Article
摘要Up to now, the shortest invariant representation of a quadric has 138 summands and there has been no invariant representation of a twisted cubic in 3D projective space, which limit to some extent the applications of invariants in 3D space. In this paper, we give a very short invariant representation of a quadric cone, a special quadric, which has only two summands similar to the invariant representation of a planar conic, and give a short invariant representation of a twisted cubic. Then, a completely linear algorithm for generating the parametric equations of a twisted cubic is provided also. Finally, we exemplify some applications of our proposed invariant representations in the fields of computer vision and automated geometric theorem proving.
关键词Automated Theorem Proving Computer Vision Invariant Representation Quadric Cone Twisted Cubic
WOS标题词Science & Technology ; Technology
收录类别SCI
语种英语
WOS研究方向Computer Science ; Engineering
WOS类目Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS记录号WOS:000185460800013
引用统计
被引频次:8[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9941
专题09年以前成果
作者单位Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714
Wu, YH,Hu, ZY. The invariant representations of a quadric cone and a twisted cubic[J]. IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE,2003,25(10):1329-1332.
APA Wu, YH,&Hu, ZY.(2003).The invariant representations of a quadric cone and a twisted cubic.IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE,25(10),1329-1332.
MLA Wu, YH,et al."The invariant representations of a quadric cone and a twisted cubic".IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE 25.10(2003):1329-1332.
条目包含的文件
条目无相关文件。
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Wu, YH]的文章
[Hu, ZY]的文章
百度学术
百度学术中相似的文章
[Wu, YH]的文章
[Hu, ZY]的文章
必应学术
必应学术中相似的文章
[Wu, YH]的文章
[Hu, ZY]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。