基于部分惯性传感器信息的惯性传感器–摄像机标定方法

Hong LIU; Yu-long ZHOU; Zhao-peng GU

doi:10.1631/jzus.C1400038

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基于部分惯性传感器信息的惯性传感器–摄像机标定方法

计算机与自动化 | Updated：2022-05-19

- 基于部分惯性传感器信息的惯性传感器–摄像机标定方法
- Inertial measurement unit-camera calibration based on incomplete inertial sensor information
- 信息与电子工程前沿（英文） 2014年15卷第11期页码：999-1008
- Affiliations：
  
  Engineering Lab on Intelligent Perception for Internet of Things (ELIP), Shenzhen Graduate School, Peking University, Shenzhen 518055, China
- Author bio：
  
  [ "Hong LIU, E-mail: hongliu@pku.edu.cn" ]
  [ "Yu-long ZHOU, E-mail: 1101213442@sz.pku.edu.cn" ]
  Zhao-peng GU, E-mail: Guzp@pkusz.edu.cn
- Funds：
  
  Project supported by the National Natural Science Foundation of China (Nos. 61340046, 60875050, and 60675025), the National High-Tech R&D Program (863) of China (No. 2006AA04Z247), the Science and Technology Innovation Commission of Shenzhen Municipality (Nos. JCYJ20120614152234873, CXC201104210010A, JCYJ20130331144631730, and JCYJ20130331144716089), and the Specialized Research Fund for the Doctoral Programme of Higher Education of China (No. 20130001110011)
- DOI：10.1631/jzus.C1400038
  中图分类号： TP391
- 收稿：2014-02-07，
  
  修回：2014-10-15，
  
  纸质出版：2014-11
- Accepted：
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基于部分惯性传感器信息的惯性传感器–摄像机标定方法[J]. 信息与电子工程前沿（英文）, 2014,15(11):999-1008.

Hong LIU, Yu-long ZHOU, Zhao-peng GU. Inertial measurement unit-camera calibration based on incomplete inertial sensor information[J]. Frontiers of Information Technology & Electronic Engineering, 2014, 15(11): 999-1008.
基于部分惯性传感器信息的惯性传感器–摄像机标定方法[J]. 信息与电子工程前沿（英文）, 2014,15(11):999-1008. DOI： 10.1631/jzus.C1400038.

Hong LIU, Yu-long ZHOU, Zhao-peng GU. Inertial measurement unit-camera calibration based on incomplete inertial sensor information[J]. Frontiers of Information Technology & Electronic Engineering, 2014, 15(11): 999-1008. DOI： 10.1631/jzus.C1400038.

摘要

研究目的

对于低端惯性传感器与摄像机组合设备惯性传感器Yaw角输出误差较大或无Yaw输出的情况，进行惯性传感器与摄像机之间的精确标定。

创新要点

分析经典手眼标定方法，利用标定方程中有关矩阵的相似性质，使得在缺少惯性传感器Yaw角测量信息的情况下，仍然能够精确标定惯性传感器与摄像机之间的相对姿态。

研究方法

首先，使惯性传感器和摄像机一起运动两次（图3）。根据摄像机拍摄标定板的视频图像求出摄像机两次相对位置姿态，同时记录两次惯性传感器的Roll角和Pitch角的输出。然后，通过分析经典手眼标定方程R

X=XR

（公式4），得出矩阵R

与矩阵R

为相似矩阵，且二者迹相等。据此，恢复两次惯性传感器运动的相对旋转矩阵R

（算法1）。最后，为获得精准标定结果，记录惯性传感器-摄像机设备的多次运动数据，并利用Levenberg-Marquardt（LM）算法进行优化，以减小噪声影响，获得惯性传感器和摄像机之间的相对旋转（图5）。

重要结论

利用相似矩阵的性质，可以恢复两次运动之间惯性传感器间的旋转矩阵，利用LM算法，可以优化标定结果。

Abstract

This paper is concerned with the problem of estimating the relative orientation between an inertial measurement unit (IMU) and a camera. Unlike most existing IMU-camera calibrations

the main challenge in this paper is that the information output from the IMU is incomplete. For example

only two tilt information can be read from the gravity sensor of a smart phone. Despite incomplete inertial information

there are strong restrictions between the IMU and camera coordinate systems. This paper addresses the incomplete information based IMU-camera calibration problem by exploiting the intrinsic restrictions among the coordinate transformations. First

the IMU transformation between two poses is formulated with the unknown IMU information. Then the defective IMU information is restored using the complementary visual information. Finally

the Levenberg-Marquardt (LM) algorithm is applied to estimate the optimal calibration result in noisy environments. Experiments on both synthetic and real data show the validity and robustness of our algorithm.

关键词

Keywords

references

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