Version 1
: Received: 7 October 2017 / Approved: 12 October 2017 / Online: 12 October 2017 (04:55:15 CEST)
How to cite:
Feng, M.; Jia, X.; Wang, J.; Feng, S.; Zheng, T. Global Calibration of Multi-Cameras Based on Refractive Projection and Ray Tracing. Preprints2017, 2017100077. https://doi.org/10.20944/preprints201710.0077.v1
Feng, M.; Jia, X.; Wang, J.; Feng, S.; Zheng, T. Global Calibration of Multi-Cameras Based on Refractive Projection and Ray Tracing. Preprints 2017, 2017100077. https://doi.org/10.20944/preprints201710.0077.v1
Feng, M.; Jia, X.; Wang, J.; Feng, S.; Zheng, T. Global Calibration of Multi-Cameras Based on Refractive Projection and Ray Tracing. Preprints2017, 2017100077. https://doi.org/10.20944/preprints201710.0077.v1
APA Style
Feng, M., Jia, X., Wang, J., Feng, S., & Zheng, T. (2017). Global Calibration of Multi-Cameras Based on Refractive Projection and Ray Tracing. Preprints. https://doi.org/10.20944/preprints201710.0077.v1
Chicago/Turabian Style
Feng, M., Song Feng and Taixiong Zheng. 2017 "Global Calibration of Multi-Cameras Based on Refractive Projection and Ray Tracing" Preprints. https://doi.org/10.20944/preprints201710.0077.v1
Abstract
Multi-cameras system is widely applied in 3D computer vision especially when multiple cameras are distributed on both sides of the measured object. The calibration methods of multi-cameras system are critical to the accuracy of vision measurement and the key is to find an appropriate calibration target. In this paper, a high-precision camera calibration method for multi-cameras system based on transparent glass checkerboard and ray tracing is described, which is used to calibrate multiple cameras distributed on both sides of the glass checkerboard. Firstly, the intrinsic parameters of each camera is obtained by Zhang’s calibration method. Then, multiple cameras capture several images from the front and back of the glass checkerboard with different orientations, and all images contain distinct grid corners. As the cameras on one side are not affected by the refraction of glass checkerboard, extrinsic parameters can be directly calculated. However, the cameras on another side are influenced by the refraction of glass checkerboard, and the direct use of projection model will produce calibration error. A multi-cameras calibration method using refractive projection model and ray tracing is developed to eliminate this error. Furthermore, both synthetic and real data are employed to validate the proposed approach. The experimental results of refractive calibration show that the error of the 3D reconstruction is smaller than 0.2 mm, the relative errors of both rotation and translation are less than 0.014%, and the mean and standard deviation of reprojection error of 4-cameras system are 0.00007 and 0.4543 pixel. The proposed method is flexible, high accurate, and simple to carry out.
Keywords
camera calibration; multi-cameras system; ray tracing; glass checkerboard; bundle adjustment
Subject
Engineering, Other
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
