Abstract
Recently, the on-board cameras of the unmanned aerial vehicles are widely used for remote sensing and active visual surveillance. Compared to a conventional single aerial on-board camera, the multi-camera system with limited or non-overlapping field of views (FoVs) could make full use the FoVs and would therefore capture more visual information simultaneously, benefiting various aerial vision applications. However, the lack of common FoVs makes it difficult to adopt conventional calibration approaches. In this paper, a metric calibration method for aerial on-board multiple non-overlapping cameras is proposed. Firstly, based on the visual consistency of a static scene, pixel correspondence among different frames obtained from the moving non-overlapping cameras are established and are utilized to estimate the relative poses via structure from motion. The extrinsic parameters of non-overlapping cameras is then computed up to an unknown scale. Secondly, by aligning the linear acceleration differentiated from visual estimated poses and that obtained from inertial measurements, the metric scale factor is estimated. Neither checkerboard nor calibration pattern is needed for the proposed method. Experiments of real aerial and industrial on-board non-overlapping cameras calibrations are conducted. The average rotational error is less than \(0.2^{\circ }\), the average translational error is less than 0.015 m, which shows the accuracy of the proposed approach.
Supported in part by the National Natural Science Foundation of China under Grant 61902322, in part by the Doctoral Fund of Southwest University of Science and Technology under Grant 19zx7123, in part by the Open Fund of CAUC Key Laboratory of Civil Aviation Aircraft Airworthiness Certification Technology under Grant SH2020112706.
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ArduCam. https://www.arducam.com
Daheng Imaging cameras. https://www.daheng-imaging.com/
Meshlab. https://www.meshlab.net/
Pixhawk flight controller. https://pixhawk.org/products/
Anderson, R., et al.: Jump: virtual reality video. ACM Trans. Graph. (TOG) 35(6), 1–13 (2016)
Caspi, Y., Irani, M.: Aligning non-overlapping sequences. Int. J. Comput. Vis. (IJCV) 48(1), 39–51 (2002)
Dong, S., Shao, X., Kang, X., Yang, F., He, X.: Extrinsic calibration of a non-overlapping camera network based on close-range photogrammetry. Appl. Opt. 55(23), 6363–6370 (2016)
Gong, Z., Liu, Z., Zhang, G.: Flexible global calibration of multiple cameras with nonoverlapping fields of view using circular targets. Appl. Opt. 56(11), 3122–3131 (2017)
Kassebaum, J., Bulusu, N., Feng, W.C.: 3-D target-based distributed smart camera network localization. IEEE Trans. Image Process. (TIP) 19(10), 2530–2539 (2010)
Kumar, R.K., Ilie, A., Frahm, J.M., Pollefeys, M.: Simple calibration of non-overlapping cameras with a mirror. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 1–7. IEEE (2008)
Li, B., Heng, L., Koser, K., Pollefeys, M.: A multiple-camera system calibration toolbox using a feature descriptor-based calibration pattern. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 1301–1307. IEEE (2013)
Liu, Z., Zhang, G., Wei, Z., Sun, J.: A global calibration method for multiple vision sensors based on multiple targets. Meas. Sci. Technol. 22(12), 125102 (2011)
Mustaniemi, J., Kannala, J., Särkkä, S., Matas, J., Heikkilä, J.: Inertial-based scale estimation for structure from motion on mobile devices. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 4394–4401. IEEE (2017)
Pagel, F.: Extrinsic self-calibration of multiple cameras with non-overlapping views in vehicles. In: Video Surveillance and Transportation Imaging Applications 2014, vol. 9026, p. 902606. International Society for Optics and Photonics (2014)
Pagel, F., Willersinn, D.: Motion-based online calibration for non-overlapping camera views. In: 13th International IEEE Conference on Intelligent Transportation Systems, pp. 843–848. IEEE (2010)
Rauch, H.E., Tung, F., Striebel, C.T.: Maximum likelihood estimates of linear dynamic systems. AIAA J. 3(8), 1445–1450 (1965)
Schonberger, J.L., Frahm, J.M.: Structure-from-motion revisited. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 4104–4113 (2016)
Strauß, T., Ziegler, J., Beck, J.: Calibrating multiple cameras with non-overlapping views using coded checkerboard targets. In: 17th International IEEE Conference on Intelligent Transportation Systems, pp. 2623–2628. IEEE (2014)
Sturm, P., Bonfort, T.: How to compute the pose of an object without a direct view? In: Narayanan, P.J., Nayar, S.K., Shum, H.Y. (eds.) ACCV 2006. LNCS, vol. 3852, pp. 21–31. Springer, Heidelberg (2006). https://doi.org/10.1007/11612704_3
Svoboda, T., Martinec, D., Pajdla, T.: A convenient multicamera self-calibration for virtual environments. Presence Teleoperators Virtual Environ. 14(4), 407–422 (2005)
Xing, Z., Yu, J., Ma, Y.: A new calibration technique for multi-camera systems of limited overlapping field-of-views. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 5892–5899. IEEE (2017)
Yin, L., Wang, X., Ni, Y., Zhou, K., Zhang, J.: Extrinsic parameters calibration method of cameras with non-overlapping fields of view in airborne remote sensing. Remote Sens. 10(8), 1298 (2018)
Zhang, Z.: A flexible new technique for camera calibration. IEEE Trans. Pattern Anal. Mach. Intell. (TPAMI) 22(11), 1330–1334 (2000)
Zhu, C., Zhou, Z., Xing, Z., Dong, Y., Ma, Y., Yu, J.: Robust plane-based calibration of multiple non-overlapping cameras. In: 2016 Fourth International Conference on 3D Vision (3DV), pp. 658–666. IEEE (2016)
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Zhang, X., Zhong, L., Liang, C., Chu, H., Shao, Y., Ran, L. (2021). Metric Calibration of Aerial On-Board Multiple Non-overlapping Cameras Based on Visual and Inertial Measurement Data. In: Ma, H., et al. Pattern Recognition and Computer Vision. PRCV 2021. Lecture Notes in Computer Science(), vol 13020. Springer, Cham. https://doi.org/10.1007/978-3-030-88007-1_2
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