Abstract
We describe a new approach to predicting the maximum target registration error for fiducial registration. The approach is based on the analysis of a spatial stiffness model that produces an analytic expression of the maximum error that is closely related to the formula reported in Fitzpatrick et al.[1]. The methodology we used was developed by Lin et al. [4]. The analytic stiffness results yield error estimates that closely match those from numerical simulations.
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Fitzpatrick, J.M., West, J.B., Maurer Jr., C.R.: Predicting error in rigid-body point-based registration. IEEE Trans. Med. Imaging 17(5), 694–702 (1998)
Horn, B.K.P.: Closed-form solution of absolute orientation using unit quaternions. J. Opt. Soc. Amer. A 4, 629–642 (1987)
Horn, R.A., Johnson, C.R.: Matrix Analysis. Cambridge University Press, Cambridge (1985)
Lin, Q., Burdick, J., Rimon, E.: A stiffness-based quality measure for compliant grasps and fixtures. IEEE Trans. Robot. Automat. 16(6), 675–688 (2000)
Lončarić, J.: Normal forms of stiffness and compliance matrices. IEEE J. Robot. Automat. RA-3(6), 567–572 (1987)
Maurer Jr., C.R., Fitzpatrick, J.M., Wang, M.Y., Galloway Jr., R.L., Maciunas, R.J., Allen, G.S.: Registration of head volume images using implantable fiducial markers. IEEE Trans. Med. Imaging 16(4), 447–462 (1997)
Meriam, J.L., Kraige, L.G.: Engineering Mechanics: Dynamics. John Wiley and Sons, Chichester (1986)
Mishra, B., Silver, N.: Some discussion of static gripping and its stability. IEEE Trans. Sys. Man. Cyber. 19(4), 783–796 (1989)
Murray, R.M., Li, Z., Sastry, S.S.: A Mathematical Introduction to Robotic Manipulation. CRC Press, Boca Raton (1994)
Patterson, T., Lipkin, H.: Structure of robot compliance. ASME J. Mech. Des. 115(3), 576–580 (1993)
Rusinkiewicz, S., Levoy, M.: Efficient variants of the ICP algorithm. In: Proc. Int. Conf. 3D Digit Imaging Modeling, pp. 145–152 (2001)
Simon, D.A.: Fast and Accurate Shape-Based Registration. PhD thesis, Carnegie Mellon University, Pittsburgh, Pennsylvania (December 1996)
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© 2003 Springer-Verlag Berlin Heidelberg
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Ma, B., Ellis, R.E. (2003). A Spatial-Stiffness Analysis of Fiducial Registration Accuracy. In: Ellis, R.E., Peters, T.M. (eds) Medical Image Computing and Computer-Assisted Intervention - MICCAI 2003. MICCAI 2003. Lecture Notes in Computer Science, vol 2878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39899-8_45
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DOI: https://doi.org/10.1007/978-3-540-39899-8_45
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