General and Efficient Super-Resolution Method for Multi-slice MRI

  • D. H. J. Poot
  • V. Van Meir
  • J. Sijbers
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6361)

Abstract

In this paper, a method is developed that reconstructs a high resolution image from an arbitrary set of multi-slice 3D MR images with a high in-plane resolution and a low through-plane resolution. Such images are often recorded to increase the efficiency of the acquisition. With a model of the acquisition of MR images, which is improved compared to previous super-resolution methods for MR images, a large system with linear equations is obtained. With the conjugated gradient method and this linear system, a high resolution image is reconstructed from MR images of an object. Also, a new and efficient method to apply an affine transformation to multi-dimensional images is presented. This method is used to efficiently reconstruction the high resolution image from multi-slice MR images with arbitrary orientations of the slices.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Zimmerman, R.A., Gibby, W.A., Carmody, R.F.: Neuroimaging: clinical and physical principles. Springer, New York (2000)Google Scholar
  2. 2.
    Peled, S., Yeshurun, Y.: Superresolution in MRI; application to human white fibre vizualization by diffusion tensor imaging. Magn. Reson Med. 45, 29–35 (2001)CrossRefGoogle Scholar
  3. 3.
    Carmi, E., Liu, S., Alon, N., Fiat, A., Fiat, D.: Resolution enhancement in MRI. Magn. Reson Imaging 24, 133–154 (2006)CrossRefGoogle Scholar
  4. 4.
    Scheffler, K.: Superresolution in MRI? Magn. Reson Med. 48, 408 (2002)CrossRefGoogle Scholar
  5. 5.
    Greenspan, H., Oz, G., Kiryati, N., Peled, S.: MRI inter-slice reconstruction using super-resolution. Magn. Reson Imaging 20, 437–446 (2002)CrossRefGoogle Scholar
  6. 6.
    Shilling, R.Z., Robbie, T.Q., Bailloeul, T., Mewes, K., Mersereau, R.M., Brummer, M.E.: A super-resolution framework for 3-D high-resolution and high-contrast imaging using 2-D multislice MRI. IEEE T. Med. Imaging 28(5), 633–644 (2009)CrossRefGoogle Scholar
  7. 7.
    Engl, H.W., Hanke, M., Neubauer, A.: Regularization of inverse problems. Kluwer Academic Publishers, Dordrecht (2000)Google Scholar
  8. 8.
    Hestenes, M.R., Stiefel, E.: Methods of conjugate gradients for solving linear systems. J. Res. Nat. Bur. Stand 49(6), 409–436 (1952)MATHMathSciNetGoogle Scholar
  9. 9.
    Shewchuk, J.R.: An introduction to the conjugate gradient method without the agonizing pain. Technical report, Carnegie Mellon University, Pittsburgh, PA, USA (1994)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • D. H. J. Poot
    • 1
    • 2
  • V. Van Meir
    • 2
  • J. Sijbers
    • 2
  1. 1.BIGRErasmus Medical CenterRotterdam
  2. 2.VisionlabUniversity of AntwerpAntwerp

Personalised recommendations