Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems

doi:10.1007/s11424-015-4310-y

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	Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems
	Zhou Jie; Wang Dingkang
	2016-10-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	29 期号:5 页码:1446-1471
摘要	A complete solution classification of the perspective-three-point (P3P) problem is given by using the Grobner basis method. The structure of the solution space of the polynomial system deduced by the P3P problem can be obtained by computing a comprehensive Grobner system. Combining with properties of the generalized discriminant sequences, the authors give the explicit conditions to determine the number of distinct real positive solutions of the P3P problem. Several examples are provided to illustrate the effectiveness of the proposed conditions.
关键词	Comprehensive Grobner system parametric polynomials perspective-three-point problem real solutions
DOI	10.1007/s11424-015-4310-y
语种	英语
资助项目	National Nature Science Foundation of China[11371356] ; National Nature Science Foundation of China[61121062]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000384986000017
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23986
专题	系统科学研究所
通讯作者	Zhou Jie
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhou Jie,Wang Dingkang. Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2016,29(5):1446-1471.
APA	Zhou Jie,&Wang Dingkang.(2016).Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,29(5),1446-1471.
MLA	Zhou Jie,et al."Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 29.5(2016):1446-1471.