Knowledge Commons of Institute of Automation,CAS
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 | |
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. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Wu, YH]的文章 |
[Hu, ZY]的文章 |
[Li, H]的文章 |
百度学术 |
百度学术中相似的文章 |
[Wu, YH]的文章 |
[Hu, ZY]的文章 |
[Li, H]的文章 |
必应学术 |
必应学术中相似的文章 |
[Wu, YH]的文章 |
[Hu, ZY]的文章 |
[Li, H]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论