Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
Book cover

International Conference on Medical Image Computing and Computer-Assisted Intervention

MICCAI 2012: Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012 pp 122–129Cite as

  1. Home
  2. Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012
  3. Conference paper
Analytic Regularization of Uniform Cubic B-spline Deformation Fields

Analytic Regularization of Uniform Cubic B-spline Deformation Fields

  • James A. Shackleford19,
  • Qi Yang20,
  • Ana M. Lourenço21,
  • Nadya Shusharina19,
  • Nagarajan Kandasamy22 &
  • …
  • Gregory C. Sharp19 
  • Conference paper
  • 4175 Accesses

  • 6 Citations

Part of the Lecture Notes in Computer Science book series (LNIP,volume 7511)

Abstract

Image registration is inherently ill-posed, and lacks a unique solution. In the context of medical applications, it is desirable to avoid solutions that describe physically unsound deformations within the patient anatomy. Among the accepted methods of regularizing non-rigid image registration to provide solutions applicable to medical practice is the penalty of thin-plate bending energy. In this paper, we develop an exact, analytic method for computing the bending energy of a three-dimensional B-spline deformation field as a quadratic matrix operation on the spline coefficient values. Results presented on ten thoracic case studies indicate the analytic solution is between 61–1371x faster than a numerical central differencing solution.

Keywords

  • deformable registration
  • b-spline
  • analytic regularization
  • thin-plate
  • bending energy

Download conference paper PDF

References

  1. Scahill, R., Frost, C., Jenkins, R., Whitwell, J., Rossor, M., Fox, N.: A longitudinal study of brain volume changes in normal aging using serial registered magnetic resonance imaging. Arch. Neurol. 60, 989–994 (2003)

    CrossRef  Google Scholar 

  2. Job, D., Whalley, H., McConnell, S., Glabus, M., Johnstone, E., Lawrie, S.: Voxel-based morphometry of grey matter densities in subjects at high risk of schizophrenia. Schizophr Res. 64, 1–13 (2003)

    CrossRef  Google Scholar 

  3. Thompson, P., Giedd, J., Woods, R., MacDonald, D., Evans, A., Toga, A.: Growth patterns in the developing human brain detected using continuum-mechanical tensor mapping. Nature 404, 190–193 (2000)

    CrossRef  Google Scholar 

  4. Boctor, E., deOliveira, M., Choti, M., Ghanem, R., Taylor, R., Hager, G., Fichtinger, G.: Ultrasound Monitoring of Tissue Ablation Via Deformation Model and Shape Priors. In: Larsen, R., Nielsen, M., Sporring, J. (eds.) MICCAI 2006. LNCS, vol. 4191, pp. 405–412. Springer, Heidelberg (2006)

    CrossRef  Google Scholar 

  5. Stoyanov, D., Mylonas, G.P., Deligianni, F., Darzi, A., Yang, G.Z.: Soft-Tissue Motion Tracking and Structure Estimation for Robotic Assisted MIS Procedures. In: Duncan, J.S., Gerig, G. (eds.) MICCAI 2005. LNCS, vol. 3750, pp. 139–146. Springer, Heidelberg (2005)

    CrossRef  Google Scholar 

  6. Flampouri, S., Jiang, S., Sharp, G., Wolfgang, J., Patel, A., Choi, N.: Estimation of the delivered patient dose in lung IMRT treatment based on deformable registration of 4D-CT data and Monte Carlo simulations. Phys. Med. Biol. 51(11), 2763–2779 (2006)

    CrossRef  Google Scholar 

  7. Zhang, T., Chi, Y., Meldolesi, E., Yan, D.: Automatic delineation of on-line head-and-neck computed tomography images: Toward on-line adaptive radiotherapy. Int. J. Radiat. Oncol. 68(2), 522–530 (2007)

    CrossRef  Google Scholar 

  8. Rohkohl, C., Lauritsch, G., Prümmer, M., Hornegger, J.: Interventional 4-D motion estimation and reconstruction of cardiac vasculature without motion periodicity assumption. Med. Image Anal. (2010)

    Google Scholar 

  9. Brunet, T., Nowak, K., Gleicher, M.: Integrating dynamic deformations into interactive volume visualization. In: Eurographics/IEEE VGTC Symposium on Visualization 2006, Citeseer, pp. 219–226 (2006)

    Google Scholar 

  10. Rueckert, D., Sonoda, L., Hayes, C., Hill, D., Leach, M., Hawkes, D.: Nonrigid registration using free-form deformations: application to breast mr images. IEEE T. Med. Imaging 18(8), 712–721 (1999)

    CrossRef  Google Scholar 

  11. Rohlfing, T., Maurer Jr., C., Bluemke, D., Jacobs, M.: Volume-preserving nonrigid registration of MR breast images using free-form deformation with an incompressibility constraint. IEEE T. Med. Imaging 22(6), 730–741 (2003)

    CrossRef  Google Scholar 

  12. Miller, M., Christensen, G., Amit, Y., Grenander, U.: Mathematical textbook of deformable neuroanatomies. P. Natl. Acad. Sci. USA 90(24), 11944 (1993)

    CrossRef  MATH  Google Scholar 

  13. Li, X., Dawant, B., Welch, E., Chakravarthy, A., Freehardt, D., Mayer, I., Kelley, M., Meszoely, I., Gore, J., Yankeelov, T.: A nonrigid registration algorithm for longitudinal breast MR images and the analysis of breast tumor response. Magn. Reson. Imaging 27(9), 1258–1270 (2009)

    CrossRef  Google Scholar 

  14. Yang, Q.: Analytic Regularization for B-spline Deformable Image Registration. Master’s thesis, der Universitat Heidelberg, Germany (2011)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Radiation Oncology, Massachusetts General Hospital, Boston, MA, 02114, USA

    James A. Shackleford, Nadya Shusharina & Gregory C. Sharp

  2. Medizinische Fakultät Mannheim der Universität Heidelberg, Mannheim, Germany

    Qi Yang

  3. Institute of Biophysics and Biomedical Engineering, Faculty of Sciences of the University of Lisbon, Lisbon, Portugal

    Ana M. Lourenço

  4. Electrical and Computer Engineering Department, Drexel University, Philadelphia, PA, 19104, USA

    Nagarajan Kandasamy

Authors
  1. James A. Shackleford
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Qi Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ana M. Lourenço
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Nadya Shusharina
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Nagarajan Kandasamy
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Gregory C. Sharp
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Project Team Asclepios, Inria Sophia Antipolis, 06902, Sophia-Antipolis, France

    Nicholas Ayache & Hervé Delingette & 

  2. MIT, CSAIL, 02139, Cambridge, MA, USA

    Polina Golland

  3. Information and Communication Headquarters, Nagoya University, 464-8603, Nagoya, Japan

    Kensaku Mori

Rights and permissions

Reprints and Permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Shackleford, J.A., Yang, Q., Lourenço, A.M., Shusharina, N., Kandasamy, N., Sharp, G.C. (2012). Analytic Regularization of Uniform Cubic B-spline Deformation Fields. In: Ayache, N., Delingette, H., Golland, P., Mori, K. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012. MICCAI 2012. Lecture Notes in Computer Science, vol 7511. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33418-4_16

Download citation

  • .RIS
  • .ENW
  • .BIB
  • DOI: https://doi.org/10.1007/978-3-642-33418-4_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33417-7

  • Online ISBN: 978-3-642-33418-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Share this paper

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature