A unified and complete framework of invariance for six points

CASIA OpenIR > 09年以前成果

	A unified and complete framework of invariance for six points
	Wu, YH; Hu, ZY; Li, H; Olver, PJ; Sommer, G
发表期刊	COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS
	2005
卷号	3519 页码:403-417
文章类型	Article
摘要	Projective geometric invariants play an important role in computer vision. To set up the invariant relationships between spatial points and their images from a single view, at least six pairs of spatial and image points are required. In this paper, we establish a unified and complete framework of the invariant relationships for six points. The framework covers the general case already developed in the literature and two novel cases. The two novel cases describe that six spatial points and the camera optical center lie on a quadric cone or a twisted cubic, called quadric cone case or twisted cubic case. For the general case and quadric cone case, camera parameters can be determined uniquely. For the twisted cubic case, camera parameters cannot be determined completely; this configuration of camera optical center and spatial points is called a critical configuration. The established unified framework may help to effectively identify the type of geometric information appearing in certain vision tasks, in particular critical geometric information. An obvious advantage using this framework to obtain geometric information is that no any explicit estimation on camera projective matrix and optical center is needed.
WOS标题词	Science & Technology ; Technology ; Physical Sciences
关键词[WOS]	PROJECTIVE RECONSTRUCTION ; GEOMETRIC APPROACH ; IMAGES
收录类别	ISTP ; SCI
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000230362900028
引用统计	被引频次：2[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/173211/9077
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,Li, H,et al. A unified and complete framework of invariance for six points[J]. COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS,2005,3519:403-417.
APA	Wu, YH,Hu, ZY,Li, H,Olver, PJ,&Sommer, G.(2005).A unified and complete framework of invariance for six points.COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS,3519,403-417.
MLA	Wu, YH,et al."A unified and complete framework of invariance for six points".COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS 3519(2005):403-417.