Skip to main content

The Distribution of Target Registration Error in Rigid-Body, Point-Based Registration

  • Conference paper
  • First Online:
Information Processing in Medical Imaging (IPMI 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1613))

Abstract

Point-based registration is performed by matching a set of homologous points in two spaces. It is common to use such techniques as an aid to navigation during neurosurgical procedures. For many years, statistics concerning Target Registration Error (TRE) have been studied qualitatively using numerical simulations. We present here an expression that gives a good approximation to the distribution of TRE for any given target and configuration of fiducial points.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K. S. Arun, T. S. Huang, and S. D. Blostein: Least-squares fitting of two 3-D point sets, IEEE Trans. Pattern Anal. Mach. Intell. 9 (1987) 698–700

    Article  Google Scholar 

  2. West J. B. and J. M. Fitzpatrick: The distribution of target registration error in rigid-body, point-based registration, Tech. Rep. CS99-01, Department of Computer Science, Vanderbilt University (1999)

    Google Scholar 

  3. P. Clarysse, D. Gibon, J. Rousseau, S. Blond, C. Vasseur, and X. Marchandise: A computer-assisted system for 3-D frameless localization in stereotaxic MRI, IEEE Trans. Med. Imaging 10 (1991) 523–529

    Article  Google Scholar 

  4. K. Darabi, P. Grunert, and A. Perneczky: Accuracy of intraoperative navigation using skin markers. In: Computer Assisted Radiology and Surgery 1997, Springer-Verlag, Berlin (1997) 920–924

    Google Scholar 

  5. A. C. Evans, S. Marrett, D. L. Collins, and T. M. Peters: Anatomical-functional correlative analysis of the human brain using three dimensional imaging systems, Medical Imaging III: Image Processing, vol. Proc. SPIE 1092 (1989) 264–274

    Google Scholar 

  6. A. C. Evans, T. M. Peters, D. L. Collins, P. Neelin, and C. Gabe: Image registration based on discrete anatomic structures. In: Interactive Image-Guided Neurosurgery, American Association of Neurological Surgeons, Park Ridge, IL (1993)

    Google Scholar 

  7. J. M. Fitzpatrick, J. West, and C. R. Maurer, Jr.: Predicting error in rigid-body, point-based registration, IEEE Trans. Med. Imaging 17 (1998) 694–702

    Article  Google Scholar 

  8. J. M. Fitzpatrick, J. B. 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 3338-01 (1998) 16–27

    Google Scholar 

  9. G. Golub and C. van Loan: Matrix Computations. Johns Hopkins University Press, Baltimore, Maryland (1983)

    MATH  Google Scholar 

  10. D. L. G. Hill, D. J. Hawkes, M. J. Gleeson, T. C. S. Cox, A. J. Strong, W.-L. Wong, C. F. Ruff, N. D. Kitchen, D. G. T. Thomas, J. E. Crossman, C. Studholme, A. J. Gandhe, S. E. M. Green, and G. P. Robinson: Accurate frameless registration of MR and CT images of the head: Applications in surgery and radiotherapy planning, Radiology 191 (1994) 447–454

    Google Scholar 

  11. D. L. G. Hill, D. J. Hawkes, Z. Hussain, S. E. M. Green, C. F. Ruff, and G. P. Robinson: Accurate combination of CT and MR data of the head: Validation and applications in surgical and therapy planning. In: 3D Advanced Image Processing in Medicine 1992

    Google Scholar 

  12. J. R. Hurley and R. B. Cattell: The Procrustes program: Producing direct rotation to test a hypothesized factor structure, Behav. Sci. 7 (1962) 258–262

    Article  Google Scholar 

  13. V. R. Mandava: Three Dimensional Multimodal Image Registration Using Implanted Markers, PhD thesis, Vanderbilt University, Nashville, TN (1991)

    Google Scholar 

  14. 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 (1992) 271–282

    Google Scholar 

  15. C. R. Maurer, Jr. and J. M. Fitzpatrick: A review of medical image registration. In: Interactive Image-Guided Neurosurgery American Association of Neurological Surgeons, Park Ridge, IL (1993)

    Google Scholar 

  16. 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, Tech. Rep. CS-96-03, Department of Computer Science, Vanderbilt University (1996)

    Google Scholar 

  17. 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 implantabl fiducial markers, IEEE Trans. Med. Imaging 16 (1997) 447–462

    Article  Google Scholar 

  18. 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 (1993) 43–54

    Google Scholar 

  19. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling: Numerical Recipes in C, Cambridge University Press, New York (1990)

    Google Scholar 

  20. P. H. Schönemann: A generalized solution of the orthogonal Procrustes problem, Psychometrika 31 (1966) 1–10

    Article  MATH  MathSciNet  Google Scholar 

  21. R. Sibson: Studies in the robustness of multidimensional scaling: Perturbational analysis of classical scaling, J. R. Statist. Soc. B 41 (1979) 217–229

    MATH  MathSciNet  Google Scholar 

  22. J. B. West, J. M. Fitzpatrick, M. Y. Wang, B. M. Dawant, C. R. Maurer, Jr., R. M. Kessler, R. J. Maciunas, C. Barillot, D. Lemoine, A. Collignon, F. Maes, P. Suetens, D. Vandermeulen, P. A. van den Elsen, S. Napel, T. S. Sumanaweera, B. Harkness, P. F. Hemler, D. L. G. Hill, D. J. Hawkes, C. Studholme, J. B. A. Maintz, M. A. Viergever, G. Malandain, X. Pennec, M. E. Noz, G. Q. Maguire, Jr., M. Pollack, C. A. Pelizzari, R. A. Robb, D. Hanson, and R. P. Woods: Comparison and evaluation of retrospective intermodality brain image registration techniques, J. Comput. Assist. Tomogr. 21 (1997) 554–566

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

West, J.B., Fitzpatrick, J.M. (1999). The Distribution of Target Registration Error in Rigid-Body, Point-Based Registration. In: Kuba, A., Šáamal, M., Todd-Pokropek, A. (eds) Information Processing in Medical Imaging. IPMI 1999. Lecture Notes in Computer Science, vol 1613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48714-X_46

Download citation

  • DOI: https://doi.org/10.1007/3-540-48714-X_46

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66167-2

  • Online ISBN: 978-3-540-48714-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics