nD polyhedral scene reconstruction from single 2D line drawing by local propagation

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	nD polyhedral scene reconstruction from single 2D line drawing by local propagation
	Li, HB
	2006
发表期刊	AUTOMATED DEDUCTION IN GEOMETRY
ISSN	0302-9743
卷号	3763 页码:169-197
摘要	In this paper, we study the problem of reconstructing the polyhedral structures and geometric positions of a general nD polyhedral scene from a single 2D line drawing. With the idea of local construction and propagation, we propose several powerful techniques for structural reconstruction (i.e. face identification) and geometric reconstruction (i.e. realizability and parametrization). Our structural reconstruction algorithm can handle 3D solids of over 10,000 faces efficiently, outperforming any other existing method. Our geometric reconstruction algorithm can lead to amazing simplification in symbolic manipulation of the geometric data, and can be used to find linear construction sequences for non-spherical polyhedra.
关键词	polyhedra structural reconstruction geometric reconstruction Grassmann-Cayley algebra local propagation
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Artificial Intelligence ; Mathematics
WOS记录号	WOS:000235835500011
出版者	SPRINGER-VERLAG BERLIN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3339
专题	系统科学研究所
通讯作者	Li, HB
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Math Mechanizat Key Lab, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, HB. nD polyhedral scene reconstruction from single 2D line drawing by local propagation[J]. AUTOMATED DEDUCTION IN GEOMETRY,2006,3763:169-197.
APA	Li, HB.(2006).nD polyhedral scene reconstruction from single 2D line drawing by local propagation.AUTOMATED DEDUCTION IN GEOMETRY,3763,169-197.
MLA	Li, HB."nD polyhedral scene reconstruction from single 2D line drawing by local propagation".AUTOMATED DEDUCTION IN GEOMETRY 3763(2006):169-197.