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Wavelet-Regularized Reconstruction for Rapid MRI

M. Guerquin-Kern, D. Van De Ville, C. Vonesch, J.-C. Baritaux, K.P. Pruessmann, M. Unser

Proceedings of the Sixth IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI'09), Boston MA, USA, June 28-July 1, 2009, pp. 193-196.

We propose a reconstruction scheme adapted to MRI that takes advantage of a sparsity constraint in the wavelet domain. We show that artifacts are significantly reduced compared to conventional reconstruction methods. Our approach is also competitive with Total Variation regularization both in terms of MSE and computation time. We show that ℓ1 regularization allows partial recovery of the missing k-space regions. We also present a multi-level version that significantly reduces the computational cost.

AUTHOR="Guerquin-Kern, M. and Van De Ville, D. and Vonesch, C. and
        Baritaux, J.-C. and Pruessmann, K.P. and Unser, M.",
TITLE="Wavelet-Regularized Reconstruction for Rapid {MRI}",
BOOKTITLE="Proceedings of the Sixth {IEEE} International Symposium on
        Biomedical Imaging: {F}rom Nano to Macro ({ISBI'09})",
address="Boston MA, USA",
month="June 28-July 1,",

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