题名 | The common self-polar triangle of concentric circles and its application to camera calibration |
作者 | |
发表日期 | 2015-10-14 |
会议名称 | IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2015 |
会议录名称 | Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
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ISSN | 1063-6919 |
卷号 | 07-12-June-2015 |
页码 | 4065-4072 |
会议日期 | 2015.6.7-2015.6.12 |
会议地点 | Boston |
摘要 | In projective geometry, the common self-polar triangle has often been used to discuss the position relationship of two planar conics. However, there are few researches on the properties of the common self-polar triangle, especially when the two planar conics are special conics. In this paper, we explore the properties of the common self-polar triangle, when the two conics happen to be concentric circles. We show there exist infinite many common self-polar triangles of two concentric circles, and provide a method to locate the vertices of these triangles. By investigating all these triangles, we find that they encode two important properties. The first one is all triangles share one common vertex, and the opposite side of the common vertex lies on the same line, which are the circle center and the line at the infinity of the support plane. The second is all triangles are right triangles. Based on these two properties, the imaged circle center and the varnishing line of support plane can be recovered simultaneously, and many conjugate pairs on vanishing line can be obtained. These allow to induce good constraints on the image of absolute conic. We evaluate two calibration algorithms, whereby accurate results are achieved. The main contribution of this paper is that we initiate a new perspective to look into circle-based camera calibration problem. We believe that other calibration methods using different circle patterns can benefit from this perspective, especially for the patterns which involve more than two circles. |
DOI | 10.1109/CVPR.2015.7299033 |
URL | 查看来源 |
收录类别 | CPCI-S |
语种 | 英语English |
WOS研究方向 | Computer Science |
WOS类目 | Computer Science, Artificial Intelligence |
WOS记录号 | WOS:000387959204012 |
Scopus入藏号 | 2-s2.0-84959179852 |
引用统计 | |
文献类型 | 会议论文 |
条目标识符 | https://repository.uic.edu.cn/handle/39GCC9TT/6438 |
专题 | 理工科技学院 |
作者单位 | 1.Department of Computer Science,Hong Kong Baptist University,Hong Kong,Hong Kong 2.United International College,BNU-HKBU,Zhuhai,China 3.Shenzhen Key Lab of Intelligent Media and Speech,Shenzhen,China |
第一作者单位 | 北师香港浸会大学 |
推荐引用方式 GB/T 7714 | Huang, Haifei,Zhang, Hui,Cheung, Yiu Ming. The common self-polar triangle of concentric circles and its application to camera calibration[C], 2015: 4065-4072. |
条目包含的文件 | 条目无相关文件。 |
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