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Cayley Transformation and Numerical Stability of Calibration Equation

文献类型：期刊论文

作者Wu, F. C.; Wang, Z. H.; Hu, Z. Y.
刊名INTERNATIONAL JOURNAL OF COMPUTER VISION
出版日期2009-04-01
卷号82期号:2页码:156-184
关键词Camera calibration The absolute conic Calibration equation Cayley transformation Numerical stability
英文摘要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.
WOS标题词Science & Technology ; Technology
类目[WOS]Computer Science, Artificial Intelligence
研究领域[WOS]Computer Science
关键词[WOS]ONE-DIMENSIONAL OBJECTS ; CAMERA CALIBRATION ; SELF-CALIBRATION ; MOVING CAMERA ; ALGORITHM
收录类别SCI
语种英语
WOS记录号WOS:000263421200003
源URL[http://ir.ia.ac.cn/handle/173211/2953]  
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Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China
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.

入库方式： OAI收割

来源：自动化研究所

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