Abstract
Near-infrared optical tracking devices, which are important components of surgical navigation systems, need to be calibrated for effective tracking. The calibration results has a direct influence on the tracking accuracy of an entire system. Therefore, the study of calibration techniques is of theoretical significance and practical value. In the present work, a systematic calibration method based on movable plates is established, which analyzes existing calibration theories and implements methods using calibration reference objects. First, the distortion model of near-infrared cameras (NICs) is analyzed in the implementation of this method. Second, the calibration images from different positions and orientations are used to establish the required linear equations. The initial values of the NIC parameters are calculated with the direct linear transformation method. Finally, the accurate internal and external parameters of the NICs are obtained by conducting nonlinear optimization. Analysis results show that the relative errors of the left and right NICs in the tracking system are 0.244 and 0.282 % for the focal lengths and 0.735 and 1.111 % for the principal points, respectively. The image residuals of the left and right image sets are both less than 0.01 pixel. The standard error of the calibration result is lower than 1, and the measurement error of the tracking system is less than 0.3 mm. The experimental data show that the proposed method of calibrating NICs is effective and can generate favorable calibration results.
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Acknowledgments
This research was funded by the National Natural Science Foundation of China under Grant No.61505037, the State Scholarship Fund under Grant CSC NO.201408440326, the Pearl River S&T Nova Program of Guangzhou under Grant No.2014 J2200049 and No.201506010035, the Guangdong Provincial Science and Technology Program under Grant No.2013B090600057, No.2014A020215006 and 2014A020212657, the Fundamental Research Funds for the Central Universities under Grant No.2014ZG003D, the Natural Scientific Foundation of Guangxi under Grant No.2015GXNSFBA139259.
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This article is part of the Topical Collection on Systems-Level Quality Improvement
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Cai, K., Yang, R., Lin, Q. et al. Near-Infrared Camera Calibration for Optical Surgical Navigation. J Med Syst 40, 67 (2016). https://doi.org/10.1007/s10916-015-0427-8
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DOI: https://doi.org/10.1007/s10916-015-0427-8