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 130–137Cite as

  1. Home
  2. Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012
  3. Conference paper
Simultaneous Multiscale Polyaffine Registration by Incorporating Deformation Statistics

Simultaneous Multiscale Polyaffine Registration by Incorporating Deformation Statistics

  • Christof Seiler19,20,
  • Xavier Pennec20 &
  • Mauricio Reyes19 
  • Conference paper
  • 3931 Accesses

  • 1 Citations

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

Abstract

Locally affine (polyaffine) image registration methods capture intersubject non-linear deformations with a low number of parameters, while providing an intuitive interpretation for clinicians. Considering the mandible bone, anatomical shape differences can be found at different scales, e.g. left or right side, teeth, etc. Classically, sequential coarse to fine registration are used to handle multiscale deformations, instead we propose a simultaneous optimization of all scales. To avoid local minima we incorporate a prior on the polyaffine transformations. This kind of groupwise registration approach is natural in a polyaffine context, if we assume one configuration of regions that describes an entire group of images, with varying transformations for each region. In this paper, we reformulate polyaffine deformations in a generative statistical model, which enables us to incorporate deformation statistics as a prior in a Bayesian setting. We find optimal transformations by optimizing the maximum a posteriori probability. We assume that the polyaffine transformations follow a normal distribution with mean and concentration matrix. Parameters of the prior are estimated from an initial coarse to fine registration. Knowing the region structure, we develop a blockwise pseudoinverse to obtain the concentration matrix. To our knowledge, we are the first to introduce simultaneous multiscale optimization through groupwise polyaffine registration. We show results on 42 mandible CT images.

Keywords

  • Posteriori Probability
  • Mandibular Fracture
  • Concentration Matrix
  • Optimal Transformation
  • Transformation Tree

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Download conference paper PDF

References

  1. Arsigny, V., Commowick, O., Ayache, N., Pennec, X.: A Fast and Log-Euclidean Polyaffine Framework for Locally Linear Registration. J. Math. Imaging Vis. 33(2), 222–238 (2009)

    CrossRef  MathSciNet  Google Scholar 

  2. Ashburner, J., Neelin, P., Collins, D.L., Evans, A., Friston, K.: Incorporating Prior Knowledge Into Image Registration. NeuroImage 6(4), 344–352 (1997)

    CrossRef  Google Scholar 

  3. Bou-Sleiman, H., Ritacco, L.E., Nolte, L.-P., Reyes, M.: Minimization of Intra-Operative Shaping of Orthopaedic Fixation Plates: A Population-Based Design. In: Fichtinger, G., Martel, A., Peters, T. (eds.) MICCAI 2011, Part II. LNCS, vol. 6892, pp. 409–416. Springer, Heidelberg (2011)

    CrossRef  Google Scholar 

  4. Buerger, C., Schaeffter, T., King, A.P.: Hierarchical Adaptive Local Affine Registration for Fast and Robust Respiratory Motion Estimation. Med. Image Anal. 15(4), 551–564 (2011)

    CrossRef  Google Scholar 

  5. Commowick, O., Arsigny, V., Isambert, A., Costa, J., Dhermain, F., Bidault, F., Bondiau, P.Y., Ayache, N., Malandain, G.: An Efficient Locally Affine Framework for the Smooth Registration of Anatomical Structures. Med. Image Anal. 12(4), 427–441 (2008)

    CrossRef  Google Scholar 

  6. Ellis, E., Moos, K.F., El-Attar, A.: Ten Years of Mandibular Fractures: An Analysis of 2,137 Cases. Oral Surg. Oral Med. Oral Pathol. 59(2), 120–129 (1985)

    CrossRef  Google Scholar 

  7. Lovald, S., Baack, B., Gaball, C., Olson, G., Hoard, A.: Biomechanical Optimization of Bone Plates Used in Rigid Fixation of Mandibular Symphysis Fractures. Journal of Oral and Maxillofacial Surgery 68(8), 1833–1841 (2010)

    CrossRef  Google Scholar 

  8. Marsland, S., Twining, C.J., Taylor, C.J.: A Minimum Description Length Objective Function for Groupwise Non-Rigid Image Registration. Image Vision Comput 26(3), 333–346 (2008)

    CrossRef  Google Scholar 

  9. Pennec, X., Stefanescu, R., Arsigny, V., Fillard, P., Ayache, N.: Riemannian Elasticity: A Statistical Regularization Framework for Non-linear Registration. In: Duncan, J.S., Gerig, G. (eds.) MICCAI 2005. LNCS, vol. 3750, pp. 943–950. Springer, Heidelberg (2005)

    CrossRef  Google Scholar 

  10. Seiler, C., Pennec, X., Reyes, M.: Capturing the Multiscale Anatomical Shape Variability with Polyaffine Transformation Trees. Med. Image Anal. (2012), http://dx.doi.org/10.1016/j.media.2012.05.011

  11. Taquet, M., Macq, B., Warfield, S.K.: Spatially Adaptive Log-Euclidean Polyaffine Registration Based on Sparse Matches. In: Fichtinger, G., Martel, A., Peters, T. (eds.) MICCAI 2011, Part II. LNCS, vol. 6892, pp. 590–597. Springer, Heidelberg (2011)

    CrossRef  Google Scholar 

  12. Urken, M.L., Weinberg, H., Vickery, C., Buchbinder, D., Lawson, W., Biller, H.F.: Oromandibular Reconstruction Using Microvascular Composite Free Flaps. Report of 71 Cases and a New Classification Scheme for Bony, Soft-Tissue, and Beurologic Defects. Arch. Otolaryngol Head Neck Surg. 117(7), 733–744 (1991)

    Google Scholar 

  13. Vercauteren, T., Pennec, X., Perchant, A., Ayache, N.: Diffeomorphic Demons: Efficient Non-Parametric Image Registration. NeuroImage 45(1, suppl. 1), S61–S72 (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Surgical Technology and Biomechanics, University of Bern, Switzerland

    Christof Seiler & Mauricio Reyes

  2. Asclepios Research Group, INRIA Sophia Antipolis, France

    Christof Seiler & Xavier Pennec

Authors
  1. Christof Seiler
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xavier Pennec
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mauricio Reyes
    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

Seiler, C., Pennec, X., Reyes, M. (2012). Simultaneous Multiscale Polyaffine Registration by Incorporating Deformation Statistics. 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_17

Download citation

  • .RIS
  • .ENW
  • .BIB
  • DOI: https://doi.org/10.1007/978-3-642-33418-4_17

  • 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