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International Journal of Biomedical Imaging
Volume 2006, Article ID 47197, 12 pages
http://dx.doi.org/10.1155/IJBI/2006/47197

An Optimized Spline-Based Registration of a 3D CT to a Set of C-Arm Images

1Biomedical Imaging Group, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne VD CH-1015, Switzerland
2Institut de Minéralogie et de Physique des Milieux Condensés, Université Pierre et Marie Curie, Paris 75015, France
3Institute for Surgical Technology and Biomechanics, MEM Research Center for Orthopaedic Surgery, University of Bern, Bern CH-3014, Switzerland

Received 12 October 2005; Revised 23 January 2006; Accepted 3 February 2006

Academic Editor: Tiange Zhuang

Copyright © 2006 S. Jonić et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. E. Bainville, I. Bricault, P. Cinquin, and S. Lavallée, “Concepts and methods of registration for computer-integrated surgery,” in Computer Assisted Orthopedic Surgery (CAOS), L.-P. Nolte and R. Ganz, Eds., pp. 15–34, Hogrefe & Huber, Seattle, Wash, USA, 1999. View at Google Scholar
  2. P. J. Edwards, D. J. Hawkes, G. P. Penney, and M. J. Clarkson, “Guiding therapeutic procedures,” in Medical Image Registration, J. V. Hajnal, D. L. G. Hill, and D. J. Hawkes, Eds., pp. 253–278, CRC Press LLC, Boca Raton, Fla, USA, 2001. View at Google Scholar
  3. B. Fei, J. L. Duerk, D. T. Boll, J. S. Lewin, and D. L. Wilson, “Slice-to-volume registration and its potential application to interventional MRI-guided radio-frequency thermal ablation of prostate cancer,” IEEE Transactions on Medical Imaging, vol. 22, no. 4, pp. 515–525, 2003. View at Publisher · View at Google Scholar
  4. N. Sugano, “Computer-assisted orthopedic surgery,” Journal of Orthopaedic Science, vol. 8, no. 3, pp. 442–448, 2003. View at Publisher · View at Google Scholar
  5. U. Berlemann, M. Slomczykowski, F. Langlotz et al., “Computerassistenz in der Orthopädischen Chirurgie---Grundlegende Konzepte und Weiterentwicklungen durch Integration der Fluoroskopie,” Sportorthopädie-Sporttraumatologie, vol. 15, no. 3, pp. 155–159, 1999. View at Google Scholar
  6. L.-P. Nolte, M. A. Slomczykowski, U. Berlemann et al., “A new approach to computer-aided spine surgery: fluoroscopy-based surgical navigation,” European Spine Journal, vol. 9, pp. S78–S88, 2000. View at Publisher · View at Google Scholar
  7. R. Hofstetter, M. Slomczykowski, M. Sati, and L.-P. Nolte, “Fluoroscopy as an imaging means for computer-assisted surgical navigation,” Computer Aided Surgery, vol. 4, no. 2, pp. 65–76, 1999. View at Publisher · View at Google Scholar
  8. W. Birkfellner, J. Wirth, W. Burgstaller et al., “A faster method for 3D/2D medical image registration—a simulation study,” Physics in Medicine and Biology, vol. 48, no. 16, pp. 2665–2679, 2003. View at Publisher · View at Google Scholar
  9. Á. Czopf, C. Brack, M. Roth, and A. Schweikard, “3D-2D registration of curved objects,” Periodica Polytechnica Series—Electrical Engineering, vol. 43, no. 1, pp. 19–41, 1999. View at Google Scholar
  10. J. Feldmar, N. Ayache, and F. Betting, “3D-2D projective registration of free-form curves and surfaces,” Computer Vision and Image Understanding, vol. 65, no. 3, pp. 403–424, 1997. View at Publisher · View at Google Scholar
  11. A. Guéziec, P. Kazanzides, B. Williamson, and R. H. Taylor, “Anatomy-based registration of CT-scan and intraoperative X ray images for guiding a surgical robot,” IEEE Transactions on Medical Imaging, vol. 17, no. 5, pp. 715–728, 1998. View at Google Scholar
  12. A. Hamadeh, P. Sautot, S. Lavallée, and P. Cinquin, “Towards automatic registration between CT and X-ray images: cooperation between 3D/2D registration and 2D edge detection,” in Proceedings of International Symposium on Medical Robotics and Computer Assisted Surgery (MRCAS '95), pp. 39–46, Baltimore, Md, USA, November 1995.
  13. D. LaRose, J. Bayouth, and T. Kanade, “Transgraph: interactive intensity-based 2D/3D registration of X-ray and CT data,” in Medical Imaging 2000: Image Processing, K. M. Hanson, Ed., vol. 3979 of Proceedings of SPIE, pp. 385–396, San Diego, Calif, USA, February 2000.
  14. S. Lavallée and R. Szeliski, “Recovering the position and orientation of free-form objects from image contours using 3D distance maps,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 17, no. 4, pp. 378–390, 1995. View at Google Scholar
  15. H. Livyatan, Z. Yaniv, and L. Joskowicz, “Gradient-based 2 D/3-D rigid registration of fluoroscopic X-ray to CT,” IEEE Transactions on Medical Imaging, vol. 22, no. 11, pp. 1395–1406, 2003. View at Publisher · View at Google Scholar
  16. T. Rohlfing, D. B. Russakoff, J. Denzler, K. Mori, and C. R. Maurer Jr., “Progressive attenuation fields: fast 2D-3D image registration without precomputation,” Medical Physics, vol. 32, no. 9, pp. 2870–2880, 2005. View at Publisher · View at Google Scholar
  17. A. Hamadeh and P. Cinquin, “Kinematic study of lumbar spine using functional radiographies and 3D/2D registration,” in Proceedings of 1st Joint Conference, Computer Vision, Virtual Reality and Robotics in Medicine and Medical Robotics and Computer-Assisted Surgery (CVRMed-MRCAS '97), J. Troccaz, E. Grimson, and R. Mosges, Eds., pp. 109–118, Grenoble, France, March 1997.
  18. D. Sarrut and S. Clippe, “Geometrical transformation approximation for 2D/3D intensity-based registration of portal images and CT scan,” in Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI '01), W. Niessen and M. Viergever, Eds., pp. 532–540, Utrecht, The Netherlands, October 2001.
  19. L. M. Gottesfeld Brown and T. E. Boult, “Registration of planar film radiographs with computed tomography,” in IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96), pp. 42–51, San Francisco, Calif, USA, June 1996.
  20. L. Lemieux, R. Jagoe, D. R. Fish, N. D. Kitchen, and D. G. T. Thomas, “A patient-to-computed-tomography image registration method based on digitally reconstructed radiographs,” Medical Physics, vol. 21, no. 11, pp. 1749–1760, 1994. View at Publisher · View at Google Scholar
  21. G. P. Penney, J. Weese, J. A. Little, P. Desmedt, D. L. G. Hill, and D. J. Hawkes, “A comparison of similarity measures for use in 2-D-3-D medical image registration,” IEEE Transactions on Medical Imaging, vol. 17, no. 4, pp. 586–595, 1998. View at Publisher · View at Google Scholar
  22. D. B. Russakoff, T. Rohlfing, K. Mori et al., “Fast generation of digitally reconstructed radiographs using attenuation fields with application to 2D-3D image registration,” IEEE Transactions on Medical Imaging, vol. 24, no. 11, pp. 1441–1454, 2005. View at Publisher · View at Google Scholar
  23. J. Weese, R. Göcke, G. P. Penney, P. Desmedt, T. M. Buzug, and H. Schumann, “Fast voxel-based 2D/3D registration algorithm using a volume rendering method based on the shear-warp factorization,” in Image Processing, vol. 3661 of Proceedings of SPIE, pp. 802–810, San Diego, Calif, USA, February 1999.
  24. P. Thévenaz, U. E. Ruttimann, and M. Unser, “A pyramid approach to subpixel registration based on intensity,” IEEE Transactions on Image Processing, vol. 7, no. 1, pp. 27–41, 1998. View at Google Scholar
  25. P. Thévenaz and M. Unser, “Optimization of mutual information for multiresolution image registration,” IEEE Transactions on Image Processing, vol. 9, no. 12, pp. 2083–2099, 2000. View at Google Scholar
  26. A. Aldroubi, M. Unser, and M. Eden, “Cardinal spline filters: stability and convergence to the ideal sinc interpolator,” Signal Processing, vol. 28, no. 2, pp. 127–138, 1992. View at Publisher · View at Google Scholar
  27. I. J. Schoenberg, “Contributions to the problem of approximation of equidistant data by analytic functions,” Quarterly of Applied Mathematics, vol. 4, no. 2, pp. 45–99, 112–141, 1946. View at Google Scholar
  28. P. Thévenaz, T. Blu, and M. Unser, “Interpolation revisited,” IEEE Transactions on Medical Imaging, vol. 19, no. 7, pp. 739–758, 2000. View at Google Scholar
  29. M. Unser, “Splines: a perfect fit for signal and image processing,” IEEE Signal Processing Magazine, vol. 16, no. 6, pp. 22–38, 1999. View at Publisher · View at Google Scholar
  30. P. Brigger, F. Müller, K. Illgner, and M. Unser, “Centered pyramids,” IEEE Transactions on Image Processing, vol. 8, no. 9, pp. 1254–1264, 1999. View at Publisher · View at Google Scholar
  31. M. Unser, A. Aldroubi, and M. Eden, “The L2 polynomial spline pyramid,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 15, no. 4, pp. 364–379, 1993. View at Publisher · View at Google Scholar
  32. M. Unser, A. Aldroubi, and M. Eden, “B-spline signal processing. II. Efficiency design and applications,” IEEE Transactions on Signal Processing, vol. 41, no. 2, pp. 834–848, 1993. View at Publisher · View at Google Scholar
  33. T. Blu, P. Thévenaz, and M. Unser, “MOMS: maximal-order interpolation of minimal support,” IEEE Transactions on Image Processing, vol. 10, no. 7, pp. 1069–1080, 2001. View at Publisher · View at Google Scholar
  34. A. W. Paeth, “A fast algorithm for general raster rotation,” in Proceedings of Graphics Interface '86—Vision Interface '86, pp. 77–81, Vancouver, BC, Canada, May 1986.
  35. A. Tanaka, M. Kameyama, S. Kazama, and O. Watanabe, “A rotation method for raster image using skew transformation,” in Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR '86), pp. 272–277, Miami Beach, Fla, USA, June 1986.
  36. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes: The Art of Scientific Computing, Cambridge University Press, Cambridge, UK, 1988.
  37. D. P. Bertsekas, Nonlinear Programming, Athena Scientific, Belmont, Mass, USA, 1999.
  38. C. T. Kelley, Iterative Methods for Optimization, SIAM, Philadelphia, Pa, USA, 1999.