Skip to main content

Kalman Filtering for Frame-by-Frame CT to Ultrasound Rigid Registration

  • Conference paper
Medical Imaging and Augmented Reality (MIAR 2008)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5128))

Included in the following conference series:

Abstract

This paper presents a method for CT-US rigid registration in minimally-invasive computer-assisted orthopaedic surgery, whereby the registration procedure is reformulated to enable effectively real-time registrations. A linear Kalman filter based algorithm is compared to an Unscented Kalman filter based method in simulated and experimental scenarios. The validation schemes demonstrate that the linear Kalman filter is more accurate, more robust, and converges quicker than the UKF, yielding an effectively real-time method for rigid registration applications, circumventing surgeons’ waiting times.

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. Barratt, D., Penney, G., Chan, C., Slomczykowski, M., Carter, T., Edwards, P., Hawkes, D.: Self-calibrating 3d-ultrasound-based bone registration for minimally invasive orthopedic surgery. IEEE Trans. Med. Imaging 25(3), 312–323 (2006)

    Article  Google Scholar 

  2. Muratore, D.M., Russ, J.H., Dawant, B.M., Galloway, R.L.: Three-dimensional image registration of phantom vertebrae for image-guided surgery: a preliminary study. Comput. Aided Surg. 7(6), 342–352 (2002)

    Article  Google Scholar 

  3. Talib, H., Rajamani, K., Kowal, J., Nolte, L.P., Styner, M., Ballester, M.A.G.: A comparison study assessing the feasibility of ultrasound-initialized deformable bone models. Comput Aided Surg 10(5-6), 293–299 (2005)

    Article  Google Scholar 

  4. Moghari, M.H., Abolmaesumi, P.: Point-based rigid-body registration using an unscented kalman filter. IEEE Transactions on Medical Imaging 26(12), 1708–1728 (2007)

    Article  Google Scholar 

  5. Grewal, M.S., Andrews, A.P.: Kalman Filtering Theory and Practice. Information and System Sciences Series. Prentice-Hall, Englewood Cliffs (1993)

    MATH  Google Scholar 

  6. Pennec, X., Thirion, J.: A framework for uncertainty and validation of 3d registration methods based on points and frames. International Journal of Computer Vision 25(3), 203–229 (1997)

    Article  Google Scholar 

  7. Welch, G., Bishop, G.: An introduction to the kalman filter. Technical Report TR 95-041, University of North Carolina, Chapel Hill (1995)

    Google Scholar 

  8. Kowal, J., Amstutz, C., Nolte, L.P.: On the development and comparative evaluation of an ultrasound b-mode probe calibration unit. Comput. Aided Surg. 8(3), 107–119 (2003)

    Article  Google Scholar 

  9. Maybeck, P.S.: Stochastic Models, Estimation, and Control. 1 of Mathematics in Science and Engineering, vol. 141. Academic Press, London (1979)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Takeyoshi Dohi Ichiro Sakuma Hongen Liao

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Talib, H., Peterhans, M., García, J., Styner, M., González Ballester, M.A. (2008). Kalman Filtering for Frame-by-Frame CT to Ultrasound Rigid Registration. In: Dohi, T., Sakuma, I., Liao, H. (eds) Medical Imaging and Augmented Reality. MIAR 2008. Lecture Notes in Computer Science, vol 5128. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79982-5_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-79982-5_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79981-8

  • Online ISBN: 978-3-540-79982-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics