Skip to main content

Spherical Ridgelets for Multi-Diffusion Tensor Refinement

Concept and Evaluation

  • Conference paper
  • First Online:
Bildverarbeitung für die Medizin 2015

Part of the book series: Informatik aktuell ((INFORMAT))

  • 2552 Accesses

Abstract

High angular resolution diffusion imaging (HARDI) improved many neurosurgical areas due to its ability to represent complex intravoxel structures, but is limited for clinical use mainly due to long acquisition times, but also due to noise.

To transcend these limits, our work addresses these problems by combining a state-of-the-art multi diffusion tensor model enhanced with spherical ridgelets. Spherical ridgelets are able to reconstruct a signal based on a limited number of measured directions by utilizing compressed sensing. This concept shows that combining spherical ridgelets with a multi diffusion tensor model can improve the accuracy in case of low signal-to-noise ratios and makes it possible to use less than 15 directional measurements per voxel.

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 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 84.99
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. Tuch D, Reese T, Wiegell M, et al. High angular resolution diffusion imaging reveals intravoxel whitematter fiber heterogeneity. Magn Reson Med. 2002;48(4):577–82.

    Article  Google Scholar 

  2. Schultz T, Westin CF, Kindlmann G. Multi-diffusion-tensor fitting via spherical deconvolution: a unifying framework. Lect Notes Comput Sci. 2010;6361:674–81.

    Article  Google Scholar 

  3. Michailovich O, Rathi Y. On approximation of orientation distributions by means of spherical ridgelets. IEEE Trans Image Process. 2010;19(2):461–77.

    Article  MathSciNet  Google Scholar 

  4. Michailovich O, Rathi Y. Fast and accurate reconstruction of HARDI data using compressed sensing. Lect Notes Computer Sci. 2010;6361:607–14.

    Article  Google Scholar 

  5. Donoho DL. Compressed sensing. IEEE Trans Inf Theory. 2006;52:1289–306.

    Article  MATH  MathSciNet  Google Scholar 

  6. Cook PA, Symms M, Boulby PA, et al. Optimal acquisition orders of diffusionweighted MRI measurements. Magn Reson Imaging. 2007;25(5):1051–8.

    Article  Google Scholar 

  7. Tournier JD, Calamante F, Gadian DG, et al. Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution. NeuroImage. 2004;23(3):1176 – 85.

    Google Scholar 

  8. Behrens TE, Berg HJ, Jbabdi S, et al. Probabilistic diffusion tractography with multiple fibre orientations: what can we gain? NeuroImage. 2007;34(1):144–55.

    Article  Google Scholar 

  9. Schultz T, Seidel HP. Estimating crossing fibers: a tensor decomposition approach. IEEE Trans Vis Comput Graph. 2008;14(6):1635–42.

    Article  Google Scholar 

  10. Deserno-Marquardt D. An algorithm for least-squares estimation of nonlinear parameters. J Soc Indust Appl Math. 1963;11(2):431–41.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Simon Koppers .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Koppers, S., Schultz, T., Merhof, D. (2015). Spherical Ridgelets for Multi-Diffusion Tensor Refinement. In: Handels, H., Deserno, T., Meinzer, HP., Tolxdorff, T. (eds) Bildverarbeitung für die Medizin 2015. Informatik aktuell. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46224-9_75

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-46224-9_75

  • Published:

  • Publisher Name: Springer Vieweg, Berlin, Heidelberg

  • Print ISBN: 978-3-662-46223-2

  • Online ISBN: 978-3-662-46224-9

  • eBook Packages: Computer Science and Engineering (German Language)

Publish with us

Policies and ethics