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arXiv 1402.3261cs.CVmath.OC
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Hand-Eye and Robot-World Calibration by Global Polynomial Optimization

Czech Technical University(捷克理工大学);CNRS(法国国家科学研究中心);LAAS(法国国家科学研究中心系统结构分析实验室);Université de Toulouse(图卢兹大学)

Jan Heller, Didier Henrion, Tomas Pajdla

英文摘要:

The need to relate measurements made by a camera to a different known coordinate system arises in many engineering applications. Historically, it appeared for the first time in the connection with cameras mounted on robotic systems. This problem is commonly known as hand-eye calibration. In this paper, we present several formulations of hand-eye calibration that lead to multivariate polynomial optimization problems. We show that the method of convex linear matrix inequality (LMI) relaxations can be used to effectively solve these problems and to obtain globally optimal solutions. Further, we show that the same approach can be used for the simultaneous hand-eye and robot-world calibration. Finally, we validate the proposed solutions using both synthetic and real datasets.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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