Algebraic Error Based Triangulation and Metric of Lines
文献类型：期刊论文
| 作者 | Wu, Fuchao1 ; Zhang, Ming1; Wang, Guanghui2; Hu, Zhanyi1
|
| 刊名 | PLOS ONE
 |
| 出版日期 | 2015-07-28 |
| 卷号 | 10期号:7 |
| 英文摘要 | Line triangulation, a classical geometric problem in computer vision, is to determine the 3D coordinates of a line based on its 2D image projections from more than two views of cameras with known projection matrices. Compared to point features, line segments are more robust to matching errors, occlusions, and image uncertainties. In addition to line triangulation, a better metric is needed to evaluate 3D errors of line triangulation. In this paper, the line triangulation problem is investigated by using the Lagrange multipliers theory. The main contributions include: (i) Based on the Lagrange multipliers theory, a formula to compute the Plucker correction is provided, and from the formula, a new linear algorithm, LINa, is proposed for line triangulation; (ii) two optimal algorithms, OPTa-I and OPTa-II, are proposed by minimizing the algebraic error; and (iii) two metrics on 3D line space, the orthogonal metric and the quasi-Riemannian metric, are introduced for the evaluation of line triangulations. Extensive experiments on synthetic data and real images are carried out to validate and demonstrate the effectiveness of the proposed algorithms. |
| WOS标题词 | Science & Technology |
| 类目[WOS] | Multidisciplinary Sciences |
| 研究领域[WOS] | Science & Technology - Other Topics |
| 关键词[WOS] | CAMERA |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000358595900007 |
| 公开日期 | 2015-12-24 |
| 源URL | [http://ir.ia.ac.cn/handle/173211/8889]  |
| 专题 | 自动化研究所_模式识别国家重点实验室_机器人视觉团队 |
| 作者单位 | 1.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China 2.Univ Kansas, Dept Elect Engn & Comp Sci, Lawrence, KS 66045 USA |
| 推荐引用方式 GB/T 7714 | Wu, Fuchao,Zhang, Ming,Wang, Guanghui,et al. Algebraic Error Based Triangulation and Metric of Lines[J]. PLOS ONE,2015,10(7). |
| APA | Wu, Fuchao,Zhang, Ming,Wang, Guanghui,&Hu, Zhanyi.(2015).Algebraic Error Based Triangulation and Metric of Lines.PLOS ONE,10(7). |
| MLA | Wu, Fuchao,et al."Algebraic Error Based Triangulation and Metric of Lines".PLOS ONE 10.7(2015). |
入库方式： OAI收割
来源：自动化研究所
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