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A unified and complete framework of invariance for six points
Wu, YH; Hu, ZY; Li, H; Olver, PJ; Sommer, G
2005
发表期刊COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS
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
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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.
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