Abstract
One of the most difficult steps of intramedullary nailing of femoral shaft fractures is distal locking - the insertion of distal transverse interlocking screws, for which it is necessary to know the position and orientation of the distal locking holes of the intramedullary nail. This paper presents a novel parameter decomposition approach for solving this problem using single calibrated X-ray image. The problem is formulated as a model-based optimal fitting process, where the to-be-optimized parameters are decomposed into two sets: (a) the angle between the nail axis and its projection on the imaging plane, and (b) the translation and rotation of the geometrical models of the distal locking holes around the nail axis. By using a hybrid optimization technique coupling an evolutionary strategy and a local search algorithm to find the optimal values of the latter set of parameters for any given value of the former one, we reduce the multiple-dimensional model-based optimal fitting problem to a one-dimensional search along a finite interval. We report the in − vitro experimental results, which demonstrate that the accuracy of our approach is adequate for successful distal locking of intramedullary nails.
This work was supported in part by Swiss National Science Foundation through project NCCR CO-ME.
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References
Krettek, C., Mann, J., Miclau, T., et al.: Deformation of femoral nails with intramedullary insertion. J. Orthop. Res. 16, 572–675 (1998)
Skjeldal, S., Backe, S.: Interlocking medullary nails - radiation doses in distal targeting. Arch. Orthopaedic Trauma Surg. 106, 179–181 (1987)
Zhu, Y., Phillips, R., Griffiths, J.G., et al.: Recovery of distal hole axis in intramedullary nail trajectory planning. Proc. Inst. Mech. Eng. [H] 216, 323–332 (2002)
Leloup, T., Schuind, F., Warzee, N.: Process for the acquisition of information intended for the insertion of a locking screw into an orifice of an endomedullary device. European Patent Application Number: 04447153.0 (2004)
Yaniv, Z., Joskowicz, L.: Precise robot-assisted guide positioning for distal locking of intramedullary nails. IEEE Trans Med. Imaging 24, 624–635 (2005)
Nolte, L.-P., Visarius, H., Arm, E., et al.: Computer-aided fixation of spinal implants. J. Image Guid Surg. 1, 88–93 (1995)
Gremban, K.D., Thorpe, C.E., Kanade, T.: Geometric camera calibration using systems of linear equations. In: Proceedings of IEEE conference on robotics and automation, pp. 562–567 (1988)
Jain, R., Kasturi, R., Schunk, B.G.: Machine Vision. McGraw-Hill, New York (1995)
Lowe, F.G.: Fitting parameterized three-dimensional models to images. IEEE Trans. Pattern Anal. Mach. Intell. 13, 441–450 (1991)
Fua, P.: Model-based optimization: accurate and consistent site modeling. In: Proceedings of the 18th Congress, International Society for Photogrammetry and remote sensing, pp. 222–223 (1996)
Jiang, X., Cheng, D.-C.: A Novel Parameter Decomposition Approach to Faithful Fitting of Quadric Surfaces. In: Kropatsch, W.G., Sablatnig, R., Hanbury, A. (eds.) DAGM 2005. LNCS, vol. 3663, pp. 168–175. Springer, Heidelberg (2005)
Neapolitan, R.E.: Learning Bayesian Networks, 1st edn. Prentice-Hall, Englewood Cliffs (2003)
Goldberg, D.E.: Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, Reading (1989)
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Zheng, G., Zhang, X. (2007). A Novel Parameter Decomposition Approach for Recovering Poses of Distal Locking Holes from Single Calibrated Fluoroscopic Image. In: Ersbøll, B.K., Pedersen, K.S. (eds) Image Analysis. SCIA 2007. Lecture Notes in Computer Science, vol 4522. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73040-8_37
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DOI: https://doi.org/10.1007/978-3-540-73040-8_37
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