The invariant representations of a quadric cone and a twisted cubic

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	The invariant representations of a quadric cone and a twisted cubic
	Wu, YH; Hu, ZY
发表期刊	IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
	2003-10-01
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.