Skip to main content

Neuroanatomy Registration: An Algebraic-Topology Based Approach

  • Conference paper
Articulated Motion and Deformable Objects (AMDO 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3179))

Included in the following conference series:

  • 335 Accesses

Abstract

In this paper, a method for image deformation is presented. It is based upon decomposition of the deformation problem into basic physical laws. Unlike other methods that solve a differential or an energetic formulation of the physical laws involved, we encode the basic laws using computational algebraic topology. Conservative laws are translated into exact global values and constitutive laws are judiciously approximated. In order to illustrate the effectiveness of our model, we utilize the viscous fluid model to achieve neuroanatomy image registration

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. Kass, M., Witkin, A., Terzopoulos, D.: Snakes: Active Contour Models. Int. J. of Comp. Vision 1 4, 321–331 (1988)

    Article  Google Scholar 

  2. Christensen, G.E., Joshi, S., Miller, M.I.: Volumetric transformation of brain anatomy. IEEE Tran. on Med. Imag., 16 6, 864–877 (1997)

    Article  Google Scholar 

  3. Cosmi, F.: Material response with the cell method. In: The 10th International Conference on Fracture, Hawaii (2001)

    Google Scholar 

  4. Ziou, D., Allili, M.: Generating cubical complexes from image data and computation of the Euler number. Pattern Recognition, 35 12, 2833–2939 (2002)

    Article  Google Scholar 

  5. Boresi, A.P.: Elasticity in Engineering Mechanics. Prentice-Hall, Englewood Cliffs (1965)

    Google Scholar 

  6. Auclair-Fortier, A.-F., Poulin, P., Ziou, D., Allili, M.: A Computational Algebraic Topology Model for the Deformation of Curves. In: Perales, F.J., Hancock, E.R. (eds.) AMDO 2002. LNCS, vol. 2492, pp. 56–67. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bentabet, L., Ziou, D. (2004). Neuroanatomy Registration: An Algebraic-Topology Based Approach. In: Perales, F.J., Draper, B.A. (eds) Articulated Motion and Deformable Objects. AMDO 2004. Lecture Notes in Computer Science, vol 3179. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30074-8_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-30074-8_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22958-2

  • Online ISBN: 978-3-540-30074-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics