Camera Calibration Method for Concentric Circle Eccentricity Error Compensation Iteration

Zhenzhen Huang; Xiaomei Huang; Lianyu Zheng; Kejian Liu; Tao Peng; Zhijiang Zhang

doi:10.3788/AOS202242.1912003

[1] Shirmohammadi S, Ferrero A. Camera as the instrument: the rising trend of vision based measurement[J]. IEEE Instrumentation & Measurement Magazine, 17, 41-47(2014).

[2] Shi Y Q, Chang C X, Liu X H et al. Calibration methods and progress for internal and external parameters of area-array camera[J]. Laser & Optoelectronics Progress, 58, 2400001(2021).

[3] Tsai R. A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses[J]. IEEE Journal on Robotics and Automation, 3, 323-344(1987).

[4] Kim J H, Koo B K. Convenient calibration method for unsynchronized camera networks using an inaccurate small reference object[J]. Optics Express, 20, 25292-25310(2012).

[5] Zhang Z. A flexible new technique for camera calibration[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 22, 1330-1334(2000).

[6] Douxchamps D, Chihara K. High-accuracy and robust localization of large control markers for geometric camera calibration[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 31, 376-383(2009).

[7] Ricolfe-Viala C, Sanchez-Salmeron A J. Camera calibration under optimal conditions[J]. Optics Express, 19, 10769-10775(2011).

[8] Mallon J, Whelan P F. Which pattern? Biasing aspects of planar calibration patterns and detection methods[J]. Pattern Recognition Letters, 28, 921-930(2007).

[9] Datta A, Kim J S, Kanade T. Accurate camera calibration using iterative refinement of control points[C], 1201-1208(2009).

[10] Nakano K, Okutomi M, Hasegawa Y. Camera calibration with precise extraction of feature points using projective transformation[C], 2532-2538(2002).

[11] Lu X D, Xue J P, Zhang Q C. High camera calibration method based on true coordinate computation of circle center[J]. Chinese Journal of Lasers, 47, 0304008(2020).

[12] Zhang H F, Ni S D, Zhao L et al. Camera calibration optimization method based on sparrow search algorithm[J]. Laser & Optoelectronics Progress, 58, 2215004(2021).

[13] Liu Z T, Bai R L, Wang X P. Accurate location of projected circular center in visual calibration[J]. Laser & Optoelectronics Progress, 52, 091001(2015).

[14] Ahn S J, Warnecke H J, Kotowski R. Systematic geometric image measurement errors of circular object targets: mathematical formulation and correction[J]. The Photogrammetric Record, 16, 485-502(1999).

[15] He D, Liu X L, Peng X et al. Eccentricity error identification and compensation for high-accuracy 3D optical measurement[J]. Measurement Science & Technology, 24, 075402(2013).

[16] Wei Z Z, Zhang G J. A distortion error model of the perspective projection of ellipse center and its simulation[J]. Chinese Journal of Scientific Instrument, 24, 160-164(2003).

[17] Heikkila J, Silven O. A four-step camera calibration procedure with implicit image correction[C], 1106-1112(1997).

[18] Luhmann T. Close range photogrammetry for industrial applications[J]. ISPRS Journal of Photogrammetry and Remote Sensing, 65, 558-569(2010).

[19] Yoon Y, DeSouza G N, Kak A C. Real-time tracking and pose estimation for industrial objects using geometric features[C], 3473-3478(2003).

[20] Cucci D A. Accurate optical target pose determination for applications in aerial photogrammetry[J]. ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences, III-3, 257-262(2016).

[21] Li X Y, Orabona F. On the convergence of stochastic gradient descent with adaptive stepsizes[EB/OL]. https://arxiv.org/abs/1805.08114

[22] Gioi R G, Randall G. A sub-pixel edge detector: an implementation of the canny/devernay algorithm[J]. Image Processing on Line, 7, 347-372(2017).

[23] Yang X L, Fang S P. Eccentricity error compensation for geometric camera calibration based on circular features[J]. Measurement Science and Technology, 25, 025007(2014).