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The invariant representations of a quadric cone and a twisted cubic

文献类型：期刊论文

作者Wu, YH; Hu, ZY
刊名IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
出版日期2003-10-01
卷号25期号:10页码:1329-1332
关键词automated theorem proving computer vision invariant representation quadric cone twisted cubic
英文摘要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.
WOS标题词Science & Technology ; Technology
类目[WOS]Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
研究领域[WOS]Computer Science ; Engineering
收录类别SCI
语种英语
WOS记录号WOS:000185460800013
公开日期2015-12-24
源URL[http://ir.ia.ac.cn/handle/173211/9941]  
专题自动化研究所_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.

入库方式： OAI收割

来源：自动化研究所

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