Novel Calibration Method for the Multi-Camera Measurement System

In a multi-camera measurement system, the determination of the external parameters is one of the vital tasks, referred to as the calibration of the system. In this paper, a new geometrical calibration method, which is based on the theory of the vanishing line, is proposed. Using a planar target with three equally spaced parallel lines, the normal vector of the target plane can be confirmed easily in every camera coordinate system of the measurement system. By moving the target into more than two different positions, the rotation matrix can be determined from related theory, i.e., the expression of the same vector in different coordinate systems. Moreover, the translation matrix can be derived from the known distance between the adjacent parallel lines. In this paper, the main factors effecting the calibration are analyzed. Simulations show that the proposed method achieves robustness and accuracy. Experimental results show that the calibration can reach 1.25 mm with the range about 0.5m. Furthermore, this calibration method also can be used for auto-calibration of the multi-camera mefasurement system as the feature of parallels exists widely.

[1]  Kostas Daniilidis,et al.  Wide Area Multiple Camera Calibration and Estimation of Radial Distortion , 2004 .

[2]  Zhen Liu,et al.  External parameter calibration of widely distributed vision sensors with non-overlapping fields of view , 2013 .

[3]  Zhengyou Zhang,et al.  A Flexible New Technique for Camera Calibration , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Carsten Steger,et al.  Unbiased extraction of curvilinear structures from 2D and 3D images , 1998 .

[5]  M. Shuster,et al.  Three-axis attitude determination from vector observations , 1981 .

[6]  Berthold K. P. Horn,et al.  Closed-form solution of absolute orientation using unit quaternions , 1987 .

[7]  Jean-Yves Bouguet,et al.  Camera calibration toolbox for matlab , 2001 .

[8]  Myungjin Cho,et al.  Depth Resolution Analysis of Axially Distributed Stereo Camera Systems under Fixed Constrained Resources , 2013 .

[9]  Jan-Michael Frahm,et al.  Simple calibration of non-overlapping cameras with a mirror , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

[10]  E. Shen,et al.  Multi-Camera Network Calibration With a Non-Planar Target , 2011, IEEE Sensors Journal.

[11]  Jisoo Hwang,et al.  A Display-based Visual Stimulator for Psychophysical and Electrophysiological Color Sensitivity Measurements , 2012 .

[12]  Wolfgang Niehsen,et al.  Online extrinsic multi-camera calibration using ground plane induced homographies , 2013, 2013 IEEE Intelligent Vehicles Symposium (IV).