上海交通大学学报（英文版） ›› 2017, Vol. 22 ›› Issue (1): 55-059.doi: 10.1007/s12204-017-1799-3

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Geometric Calibration Algorithm of Polarization Camera Using Planar Patterns

WANG Yujie* (王玉杰), HU Xiaoping (胡小平), LIAN Junxiang (练军想),ZHANG Lilian (张礼廉), HE Xiaofeng (何晓峰), FAN Chen (范 晨)   

  1. (College of Mechatronics and Automation, National University of Defense Technology, Changsha 410073, China)
  • 出版日期:2017-02-28 发布日期:2017-04-04
  • 通讯作者: WANG Yujie(王玉杰) E-mail:yjwang@nudt.edu.cn

Geometric Calibration Algorithm of Polarization Camera Using Planar Patterns

WANG Yujie* (王玉杰), HU Xiaoping (胡小平), LIAN Junxiang (练军想),ZHANG Lilian (张礼廉), HE Xiaofeng (何晓峰), FAN Chen (范 晨)   

  1. (College of Mechatronics and Automation, National University of Defense Technology, Changsha 410073, China)
  • Online:2017-02-28 Published:2017-04-04
  • Contact: WANG Yujie(王玉杰) E-mail:yjwang@nudt.edu.cn

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摘要： Polarization pattern provides additional information besides spectral signatures. It can be used in many applications, such as navigation, defect detection and object identification. A novel polarization camera composed of four synchronized cameras is proposed, and it can realize real-time polarization measurement. This study particularly concentrates on the geometric calibration of the system. The projection model is analyzed and the multi-camera calibration algorithm is proposed. Firstly, each camera is calibrated separately using planar patterns, and then the geometric calibration algorithms are performed. Due to the geometrical constraint, a global optimization method results in smaller estimation uncertainties. A mean rotation error of 0.025? and a mean translation error of 0.26mm are achieved after geometric calibration. The images are rectified to establish a correspondence among cameras and are combined to acquire the polarization measurement. The polarization pattern of the skylight is measured by the system and the results are consistent with the previous studies.

关键词: polarization camera, multi-camera calibration, projection model, geometrical constraint

Abstract: Polarization pattern provides additional information besides spectral signatures. It can be used in many applications, such as navigation, defect detection and object identification. A novel polarization camera composed of four synchronized cameras is proposed, and it can realize real-time polarization measurement. This study particularly concentrates on the geometric calibration of the system. The projection model is analyzed and the multi-camera calibration algorithm is proposed. Firstly, each camera is calibrated separately using planar patterns, and then the geometric calibration algorithms are performed. Due to the geometrical constraint, a global optimization method results in smaller estimation uncertainties. A mean rotation error of 0.025? and a mean translation error of 0.26mm are achieved after geometric calibration. The images are rectified to establish a correspondence among cameras and are combined to acquire the polarization measurement. The polarization pattern of the skylight is measured by the system and the results are consistent with the previous studies.

Key words: polarization camera, multi-camera calibration, projection model, geometrical constraint

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