Predicting error in rigid-body point-based registration

IEEE Transactions on Medical Imaging

Volumn 17, Issue 5, 1998, Pages 694-702

  Michael Fitzpatrick, J ^a   West, Jay B ^a   Maurer Jr , Calvin R ^a  

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

Accuracy prediction; Fiducial markers; Image registration; Target registration error

Indexed keywords

ARTICLE; COMPUTER ASSISTED THERAPY; COMPUTER ASSISTED TOMOGRAPHY; HUMAN; IMAGE PROCESSING; SURGERY;

HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; SURGICAL PROCEDURES, OPERATIVE; THERAPY, COMPUTER-ASSISTED; TOMOGRAPHY, X-RAY COMPUTED;

IMAGE PROCESSING; NEUROSURGERY; RADIOTHERAPY; THREE DIMENSIONAL;

ACCURACY PREDICTION; FIDUCIAL LOCALIZATION ERROR; IMAGE REGISTRATION; RIGID BODY POINT BASED REGISTRATION; TARGET REGISTRATION ERROR;

COMPUTERIZED TOMOGRAPHY;

EID: 0032173355     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/42.736021     Document Type: Article

References (44)

1. C. R. Maurer, Jr., J. M. Fitzpatrick, M. Y. Wang, R. L. Galloway, Jr., R. J. Maciunas, and G. S. Allen, "Registration of head volume images using implantable fiducial markers," IEEE Trans. Med. Imag., vol. 16, pp. 447-462, 1997.
2. K. Darabi, P. Grunert, and A. Perneczky, "Accuracy of intraoperative navigation using skin markers," in Computer Assisted Radiology and Surgery 1997, H. U. Lemke, M. W. Vannier, and K. Inamura, Eds. Berlin, Germany: Springer-Verlag, 1997, pp. 920-924.
3. J. G. Golfinos, B. C. Fitzpatrick, L. R. Smith, and R. F. Spetzler, "Clinical use of a frameless stereotactic arm: Results of 325 cases," J. Neurosurg., vol. 83, pp. 197-205, 1995.
4. D. Jones, D. A. Christopherson, J. T. Washington, M. D. Hafermann, J. W. Rieke, J. J. Travaglini, and S. S. Vermeulen, "A frameless method for stereotactic radiotherapy," Br. J. Radial., vol. 66, pp. 1142-1150, 1993.
5. F. C. Vinas, L. Zamorano, R. Buciuc, Q. H. Li, F. Shamsa, Z. Jiang, and F. G. Diaz, "Application accuracy study of a semipermanent fiducial system for frameless stereotaxis," Comput. Aided Surg., vol. 2, pp. 257-263, 1997.
6. R. H. Taylor, B. D. Mittelstadt, H. A. Paul, W. Hanson, P. Kazanzides, J. F. Zuhars, B. Williamson, B. L. Musits, E. Glassman, and W. L. Bargar, "An image-directed robotic system for precise orthopaedic surgery," IEEE Trans. Robot. Automat., vol. 10, pp. 261-275, 1994.
7. F. J. Bova, J. M. Buatti, W. A. Friedman, W. M. Mendenhall, C. C. Yang, and C. Liu, "The University of Florida frameless high-precision stereotactic radiotherapy system," Int. J. Radiation Oncol. Biol. Phys., vol. 38, pp. 875-882, 1997.
8. J. M. Fitzpatrick, J. West, and C. R. Maurer, Jr., "Derivation of expected registration error for rigid-body, point-based image registration," Medical Imaging 1998: Image Processing, vol. Proc. SPIE 3338, pp. 16-27, 1998.
9. G. Q. Maguire, Jr., M. E. Noz, E. M. Lee, and J. H. Schimpf, "Correlation methods for tomographic images using two and three dimensional techniques," in Information Processing in Medical Imaging 1985, S. L. Bacharach, Ed. Dordrecht, the Netherlands: Martinus Nijhoff, 1986, pp. 266-279.
10. C. R. Maurer, Jr. and J. M. Fitzpatrick, "A review of medical image registration," in Interactive Image-Guided Neurosurgery, R. J. Maciunas, Ed. Park Ridge, IL: Amer. Assoc. Neurological Surgeons, 1993, pp. 17-44.
11. J. B. A. Maintz and M. A. Viergever, "A survey of medical image registration," Med. Image Anal., vol. 2, 1998, to be published.
12. V. R. Mandava, J. M. Fitzpatrick, C. R. Maurer, Jr., R. J. Maciunas, and G. S. Allen, "Registration of multimodal volume head images via attached markers," Medical Imaging VI: Image Processing, vol. Proc. SPIE 1652, pp. 271-282, 1992.
13. C. R. Maurer, Jr., J. M. Fitzpatrick, M. Y. Wang, and R. J. Maciunas, "Estimation of localization accuracy for markers in multimodal volume images," Proc. Anna. Int. Conf. IEEE Eng. Med. Biol. Soc., vol. 15, pp. 124-125, 1993.
14. C. R. Maurer, Jr., G. B. Aboutanos, B. M. Dawant, S. Gadamsetty, R. A. Margolin, R. J. Maciunas, and J. M. Fitzpatrick, "Effect of geometrical distortion correction in MR on image registration accuracy," Medical Imaging 1994: Image Processing, vol. Proc. SPIE 2167, pp. 200-213, 1994.
15. C. R. Maurer, Jr., G. B. Aboutanos, B. M. Dawant, R. A. Margolin, R. J. Maciunas, and J. M. Fitzpatrick, "Registration of CT and MR brain images using a combination of points and surfaces," Medical Imaging 1995: Image Processing, vol. Proc. SPIE 2434, pp. 109-123, 1995.
16. C. R. Maurer, Jr., G. B. Aboutanos, B. M. Dawant, S. Gadamsetty, R. A. Margolin, R. J. Maciunas, and J. M. Fitzpatrick, "Effect of geometrical distortion correction in MR on image registration accuracy," J. Comput. Assist. Tomogr., vol. 20, pp. 666-679, 1996.
17. M. Y. Wang, C. R. Maurer, Jr., J. M. Fitzpatrick, and R. J. Maciunas, "An automatic technique for finding and localizing externally attached markers in CT and MR volume images of the head," IEEE Trans. Biomed. Eng., vol. 43, pp. 627-637, 1996.
18. J. Rousseau, P. Clarysse, S. Blond, D. Gibon, C. Vasseur, and X. Mar.andise, "Validation of a new method for stereotactic localization using MR imaging," J. Comput. Assist. Tomogr., vol. 15, pp. 291-296, 1991.
19. J. Rousseau, D. Gibon, P. Clarysse, J. P. Pruvo, S. Blond, and X. Mar.andise, "Une méthode de repérage stéréotaxique par IRM," J. Med. Nucl. Biophys., vol. 16, pp. 374-379, 1992.
20. P. Clarysse, D. Gibon, J. Rousseau, S. Blond, C. Vasseur, and X. Mar.andise, "A computer-assisted system for 3-D frameless localization in stereotaxic MRI," IEEE Trans. Med. Imag., vol. 10, pp. 523-529, 1991.
21. A. C. Evans, T. M. Peters, D. L. Collins, P. Neelin, and C. Gabe, "Image registration based on discrete anatomic structures," in Interactive ImageGuided Neurosurgery, R. J. Maciunas, Ed. Park Ridge, IL: Amer. Assoc. Neurological Surgeons, 1993, pp. 63-80.
22. D. L. G. Hill, D. J. Hawkes, M. J. Gleeson, T. C. S. Cox, A. J. Strong, W.-L. Wong, C. F. Ruff, N. Küchen, D. G. T. Thomas, J. E. Crossman, C. Studholme, A. J. Gandhe, S. E. M. Green, and G. P. Robinson, "Accurate framless registration of MR and CT images of the head: Applications in surgery and radiotherapy planning," Radial., vol. 191, pp. 447-454, 1994.
23. R. Sibson, "Studies in the robustness of multidimensional scaling: Perturbational analysis of classical scaling," J. Roy. Statist. Soc. B, vol. 41, pp. 217-229, 1979.
24. C. R. Maurer, Jr., G. B. Aboutanos, B. M. Dawant, R. J. Maciunas, and J. M. Fitzpatrick, "Registration of 3-D images using weighted geometrical features," IEEE Trans. Med. Imag., vol. 15, pp. 836-849, 1996.
25. P. H. Schönemann, "A generalized solution of the orthogonal Procrustes problem," Psychometrika, vol. 31, pp. 1-10, 1966.
26. J. R. Hurley and R. B. Cattell, "The Procrustes program: Producing direct rotation to test a hypothesized factor structure," Behav. Sci., vol. 7, pp. 258-262, 1962.
27. G. H. Golub and C. F. van Loan, Matrix Computations. Baltimore, MD: Johns Hopkins Univ. Press, 1983.
28. K. S. Arun, T. S. Huang, and S. D. Blostein, "Least-squares fitting of two 3-D point sets," IEEE Trans. Pattern Anal. Machine Intel!., vol. PAMI-9, pp. 698-700, 1987.
29. S. Umeyama, "Least-squares estimation of transformation parameters between two point patterns," IEEE Trans. Pattern Anal. Machine Intel!., vol. 13, pp. 376-380, 1991.
30. O. D. Faugeras and M. Hebert, "The representation, recognition, and locating of 3-D objects," Int. J. Robot. Res., vol. 5, pp. 27-52, 1986.
31. M. Froimowitz and S. Matthysse, "Geometrical correspondence between phenazocine and the enkephalins," J. Med. Chem., vol. 29, pp. 573-578, 1986.
32. B. K. P. Horn, "Closed-form solution of absolute orientation using unit quaternions," J. Opt. Soc. Amer. A, vol. 4, pp. 629-642, 1987.
33. D. G. Kendall, "A survey of the statistical theory of shape," Statistical Sci., vol. 4, pp. 87-120, 1989.
34. C. Goodall, "Procrustes methods in the statistical analysis of shape," J. Roy. Statist. Soc. B, vol. 53, pp. 285-339, 1991.
35. F. L. Bookstein, Morphometric Tools for Landmark Data. Cambridge, U.K.: Cambridge Univ. Press, 1991.
36. S. K. Ghosh, Analytical Photogrammetry, 2nd ed. New York: Pergamon, 1988.
37. B. K. P. Horn, Robot Vision. Cambridge, MA: MIT Press, 1986.
38. P. H. Schönemann and R. M. Carroll, "Fitting one matrix to another under choice of a central dilation and a rigid motion," Psychometrika, vol. 35, pp. 245-255, 1970.
39. B. F. Green, "The orthogonal approximation of an oblique structure in factor analysis," Psychometrika, vol. 17, pp. 429-440, 1952.
40. A. C. Evans, S. Marrett, D. L. Collins, and T. M. Peters, "Anatomicalfunctional correlative analysis of the human brain using three dimensional imaging systems," Medical Imaging III: Image Processing, vol. Proc. SPIE 1092, pp. 264-274, 1989.
41. C. R. Maurer, Jr., J. J. McCrory, and J. M. Fitzpatrick, "Estimation of accuracy in localizing externally attached markers in multimodal volume head images," Medical Imaging 1993: Image Processing, vol. Proc. SPIE 1898, pp. 43-54, 1993.
42. S. C. Strother, J. R. Anderson, X.-L. Xu, J.-S. Liow, D. C. Bonar, and D. A. Rottenberg, "Quantitative comparisons of image registration techniques based on high-resolution (MRI) of the brain," J. Comput. Assist. Tomogr., vol. 18, pp. 954-962, 1994.
43. P. F. Hemler, S. Napel, T. S. Sumanaweera, R. Pichumani, P. A. van den Elsen, D. Martin, J. Drace, and J. R. Adler, "Registration error quantification of a surface-based multimodality image fusion system," Med. Phys., vol. 22, pp. 1049-1056, 1995.
44. K. Darabi, P. Grunert, and A. Perneczky, "Analyzing the relationship between fiducial position and the geometrical error of intraoperative navigation," Comput. Aided Surg., vol. 2, pp. 224, 1997; Abstract in Computer Integrated Surgery 1997 Conf.