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Analytical Form of Shepp-Logan Phantom for Parallel MRI

M. Guerquin-Kern, F.I. Karahanoğlu, D. Van De Ville, K.P. Pruessmann, M. Unser

Proceedings of the Seventh IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI'10), Rotterdam, Kingdom of the Netherlands, April 14-17, 2010, pp. 261-264.

We present an analytical form of ground-truth k-space data for the 2-D Shepp-Logan brain phantom in the presence of multiple and non-homogeneous receiving coils. The analytical form allows us to conduct realistic simulations and validations of reconstruction algorithms for parallel MRI. The key contribution of our work is to use a polynomial representation of the coil's sensitivity. We show that this method is particularly accurate and fast with respect to the conventional methods. The implementation is made available to the community.

The associated software is available here.

AUTHOR="Guerquin-Kern, M. and Karahano{\u{g}}lu, F.I. and Van De Ville,
        D. and Pruessmann, K.P. and Unser, M.",
TITLE="Analytical Form of {S}hepp-{L}ogan Phantom for Parallel {MRI}",
BOOKTITLE="Proceedings of the Seventh {IEEE} International Symposium on
        Biomedical Imaging: {F}rom Nano to Macro ({ISBI'10})",
address="Rotterdam, Kingdom of the Netherlands",
month="April 14-17,",

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