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A Simple and Accurate Camera-Sensor Calibration for Surgical Endoscopes and Microscopes

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Augmented Environments for Computer-Assisted Interventions (AE-CAI 2014)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 8678))

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Abstract

Nowadays, augmented reality (AR) has become a key technology for surgical navigation. It is necessary to perform camera-sensor calibration to build AR between a camera and a sensor that tracks the camera. In order to perform camera-sensor calibration, it has been common method to move the camera in such a way as to solve an AX = XB type formula. However, in clinical environments, Endoscopes and microscopes are commonly used, and moving those cameras is very difficult due to their large weight and size when camera-sensor calibration is performed. Therefore, we propose a method to solve the camera-sensor matrix by expanding the AX = XB equation to the AX = BYC equation. Instead of moving the camera, we move the calibration pattern in the proposed method. Through the experiments, we compared the AX = BYC solution with the AX = XB solution in terms of the accuracy. As a result, we found the proposed method is more convenient and accurate than the conventional method.

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References

  1. King, A.P., Edwards, P.J., Maurer, C.R., de Cunha, D.A., Gaston, R.P., Clarkson, M., Hill, D.L.G., Hawkes, D.J., Fenlon, M.R., Strong, A.J., Cox, T.C.S., Gleeson, M.J.: Stereo Augmented Reality in the surgical Microscope. Presence: Teleoperators and Virtual Environments 9(4), 360–368 (2000)

    Article  Google Scholar 

  2. Zhang, Z.: A Flexible New Technique for Camera Calibration. IEEE Transactions on Pattern Analysis and Machine Intelligence 22(11), 1330–1334 (2000)

    Article  Google Scholar 

  3. Tsai, R., Lenz, R.: A new technique for fully autonomous and efficient 3D robotics hand/eye calibration. IEEE Transactions on Robotics and Automation 5(3), 345–358 (1989)

    Article  Google Scholar 

  4. Daniilidis, K.: Hand-Eye Calibration Using DualQuaternions. The International Journal of Robotics Research 18(3), 286–298 (1999)

    Article  MathSciNet  Google Scholar 

  5. Zhao, Z.: Hand-Eye Calibration Using ConvexOptimization. In: IEEE International Conference on Robotics and Automation, pp. 2947–2952 (2011)

    Google Scholar 

  6. Mao, J., Huang, X., Jiang, L.: A Flexible Solution toAX=XB for Robot Hand-Eye Calibration. In: Proceedings of the 10th WSEAS International Conference on Robotics, Control and Manufacturing Technology, pp. 118–122 (2010)

    Google Scholar 

  7. Bianchi, G., Harders, C.W.M., Cattin, P., Szekely, G.: Camera-marker alignment framework and comparison with hand-eye calibration for augmented reality applications. In: Proceedings of Fourth IEEE and ACM International Symposium on Mixed and Augmented Reality, pp. 188–189 (2005)

    Google Scholar 

  8. Aiguo, L., Lin, W., Defeng, W.: Simultaneous robot-world and hand-eye calibration using dual-quaternions and Kronecker product. International Journal of Physical Sciences 5(10), 1530–1536 (2010)

    Google Scholar 

  9. Zhuang, H., Roth, S., Sudhakar, R.: Simultaneous Robot/World and Tool/Flange Calibration by Solving Homogeneous Transformation Equations of the form AX=YB. IEEE Transactions on Robotics and Automation 10(4), 549–554 (1994)

    Article  Google Scholar 

  10. Dornaika, F., Horaud, R.: Simultaneous robot-world and hand-eye calibration. IEEE Transactions onRobotics and Automation 14(4), 617–622 (1998)

    Article  Google Scholar 

  11. Strobl, K.H., Hirzinger, G.: Optimal Hand-Eye Calibration. In: 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 4647–4653 (2006)

    Google Scholar 

  12. Andreff, N., Horaud, R., Espiau, B.: On-line Hand-Eye Calibration. In: Proceedings of Second International Conference on 3-D Digital Imaging and Modeling, pp. 430–436 (1999)

    Google Scholar 

  13. Wiles, A.D., Thompsona, D.G., Frantz, D.D.: Accuracy assessment and interpretation for optical tracking systems. In: Proc. of SPIE Medical Imaging, vol. 5367, pp. 421–432 (2004)

    Google Scholar 

  14. Koivukangas, T., Katisko, J., Koivukangas, J.: Technical accuracy of optical and the electromagnetic tracking systems. SpringerPlus 2(1), 1–7 (2013)

    Article  Google Scholar 

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Lee, S., Lee, H., Choi, H., Hong, J. (2014). A Simple and Accurate Camera-Sensor Calibration for Surgical Endoscopes and Microscopes. In: Linte, C.A., Yaniv, Z., Fallavollita, P., Abolmaesumi, P., Holmes, D.R. (eds) Augmented Environments for Computer-Assisted Interventions. AE-CAI 2014. Lecture Notes in Computer Science, vol 8678. Springer, Cham. https://doi.org/10.1007/978-3-319-10437-9_11

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  • DOI: https://doi.org/10.1007/978-3-319-10437-9_11

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10436-2

  • Online ISBN: 978-3-319-10437-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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