科研成果详情

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
ISSN1063-6919
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.

DOI10.1109/CVPR.2015.7299033
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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
被引频次:46[WOS]   [WOS记录]     [WOS相关记录]
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.
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