EPFL
 Biomedical Imaging GroupSTI
EPFL
  Publications
English only   BIG > Publications > MR Reconstruction


 CONTENTS
 Home Page
 News & Events
 People
 Publications
 Tutorials and Reviews
 Research
 Demos
 Download Algorithms

 DOWNLOAD
 PDF
 Postscript
 All BibTeX References

Novel Algorithm for ℓ1 Wavelet-Based MR Image Reconstruction

M. Guerquin-Kern, M. Häberlin, K.P. Pruessmann, M. Unser

Joint Annual Meeting of the of the International Society for Magnetic Resonance in Medicine and the European Society for Magnetic Resonance in Medicine and Biology (ISMRM/ESMRMB '10), Stockholm, Sweden, May 1-7, 2010.



In fast MR imaging, reconstruction artifacts due to undersampled k-space can be greatly reduced by applying proper nonlinear reconstructions [1] based on image-sparsifying transforms. While state-of-the-art methods rely on total variation (TV), in this paper we propose to use wavelets instead, along with a very fast algorithm. Simulations and experimental results show our ability to reduce computational costs while maintaining SNR and image quality. We propose an iterative algorithm that also makes the technique computationally competitive. Our algorithm is versatile and can be used for any linear MR imaging problem, for instance SENSE [2].

References

  1. M. Lustig, D. Donoho, J.M. Pauly, "Sparse MRI: The Application of Compressed Sensing for Rapid MR Imaging," Magnetic Resonance in Medicine, vol. 58, no. 6, pp. 1182-1195, December 2007.

  2. K.P. Pruessmann, M. Weiger, M.B. Scheidegger, P. Boesiger, "SENSE: Sensitivity Encoding for Fast MRI," Magnetic Resonance in Medicine, vol. 42, no. 5, pp. 952-962, November 1999.


@INPROCEEDINGS(http://bigwww.epfl.ch/publications/guerquinkern1002.html,
AUTHOR="Guerquin-Kern, M. and H{\"{a}}berlin, M. and Pruessmann, K.P.
        and Unser, M.",
TITLE="Novel Algorithm for $\ell_{1}$ Wavelet-Based {MR} Image
        Reconstruction",
BOOKTITLE="Joint Annual Meeting of the of the International Society for
        Magnetic Resonance in Medicine and the European Society for Magnetic
        Resonance in Medicine and Biology ({ISMRM/ESMRMB '10})",
YEAR="2010",
editor="",
volume="",
series="",
pages="",
address="Stockholm, Sweden",
month="May 1-7,",
organization="",
publisher="",
note="")

© 2010 ISMRM/ESMRMB. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from ISMRM/ESMRMB.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.