A symbolic approach to, polyhedral scene analysis by parametric calotte propagation

doi:10.1017/S0263574707003918

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	A symbolic approach to, polyhedral scene analysis by parametric calotte propagation
	Li, Hongbo1 ; Zhao, Lina 2; Chen, Ying 3
	2008-07-01
发表期刊	ROBOTICA
ISSN	0263-5747
卷号	26 页码:483-501
摘要	Polyhedral scene analysis studies whether a 2D line drawing of a 3D polyhedron is realizable in space, and if so, it gives the results of parameterizing the space of all possible realizations. For generic 2D data, symbolic computation with Grassmann-Cayley algebra is needed in the analysis. In this paper, we propose a method called parametric calotte propagation to solve the realization and parameterization problems for general polyhedral scenes at the same time. In algebraic manipulation, parametric propagation is more efficient than elimination. In applications, it can lead to linear construction sequences for nonspherical polyhedra whose resolvable sequences do not exist.
关键词	structure geometry polyhedral scene analysis Grassmann-Cayley algebra bracket algebra constraint satisfaction
DOI	10.1017/S0263574707003918
语种	英语
资助项目	NSFC[10471143] ; NKBRSF[2004CB318001]
WOS研究方向	Robotics
WOS类目	Robotics
WOS记录号	WOS:000258437700006
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5502
专题	系统科学研究所
通讯作者	Li, Hongbo
作者单位	1.Chinese Acad Sci, AMSS, Math Mechanizat Res Ctr, Beijing 100080, Peoples R China 2.Beijing Univ Chem Technol, Sch Sci, Dept Math & Comp Sci, Beijing 100080, Peoples R China 3.Beijing Elect Sci & Technol Inst, Dept Basic Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Hongbo,Zhao, Lina,Chen, Ying. A symbolic approach to, polyhedral scene analysis by parametric calotte propagation[J]. ROBOTICA,2008,26:483-501.
APA	Li, Hongbo,Zhao, Lina,&Chen, Ying.(2008).A symbolic approach to, polyhedral scene analysis by parametric calotte propagation.ROBOTICA,26,483-501.
MLA	Li, Hongbo,et al."A symbolic approach to, polyhedral scene analysis by parametric calotte propagation".ROBOTICA 26(2008):483-501.