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Cayley Transformation and Numerical Stability of Calibration Equation | |
Wu, F. C.![]() ![]() | |
发表期刊 | INTERNATIONAL JOURNAL OF COMPUTER VISION
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2009-04-01 | |
卷号 | 82期号:2页码:156-184 |
文章类型 | Article |
摘要 | The application of Cayley transformation to enhance the numerical stability of camera calibration is investigated. First, a new calibration equation, called the standard calibration equation, is introduced using the Cayley transformation and its analytical solution is obtained. The standard calibration equation is equivalent to the classical calibration equation, but it exhibits remarkable better numerical stability. Second, a one-parameter calibration family, called the Cayley calibration family which is equivalent to the standard calibration equation, is obtained using also the Cayley transformation and it is found that this family is composed of those infinite homographies whose rotation has the same axis with the rotation between the two given views. The condition number of equations in the Cayley calibration family varies with the parameter value, and an algorithm to determine the best parameter value is provided. Third, the generalized Cayley calibration families equivalent to the standard calibration equation are also introduced via generalized Cayley transformations. An example of the generalized Cayley transformations is illustrated, called the S-Cayley calibration family. As in the Cayley calibration family, the numerical stability of equations in a generalized Cayley calibration family also depends on the parameter value. In addition, a more generic calibration family is also proposed and it is proved that the standard calibration equation, the Cayley calibration family and the S-Cayley calibration family are all some special cases of this generic calibration family. |
关键词 | Camera Calibration The Absolute Conic Calibration Equation Cayley Transformation Numerical Stability |
WOS标题词 | Science & Technology ; Technology |
关键词[WOS] | ONE-DIMENSIONAL OBJECTS ; CAMERA CALIBRATION ; SELF-CALIBRATION ; MOVING CAMERA ; ALGORITHM |
收录类别 | SCI |
语种 | 英语 |
WOS研究方向 | Computer Science |
WOS类目 | Computer Science, Artificial Intelligence |
WOS记录号 | WOS:000263421200003 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/2953 |
专题 | 多模态人工智能系统全国重点实验室_机器人视觉 |
作者单位 | Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China |
第一作者单位 | 模式识别国家重点实验室 |
推荐引用方式 GB/T 7714 | Wu, F. C.,Wang, Z. H.,Hu, Z. Y.. Cayley Transformation and Numerical Stability of Calibration Equation[J]. INTERNATIONAL JOURNAL OF COMPUTER VISION,2009,82(2):156-184. |
APA | Wu, F. C.,Wang, Z. H.,&Hu, Z. Y..(2009).Cayley Transformation and Numerical Stability of Calibration Equation.INTERNATIONAL JOURNAL OF COMPUTER VISION,82(2),156-184. |
MLA | Wu, F. C.,et al."Cayley Transformation and Numerical Stability of Calibration Equation".INTERNATIONAL JOURNAL OF COMPUTER VISION 82.2(2009):156-184. |
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