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Abstract #0814

Understanding the combined effect of k-space undersampling and transient states excitation in MR Fingerprinting reconstructions: the role of incoherence

Christiaan C. Stolk1 and Alessandro Sbrizzi2

1KdV Institute for Mathematics, University of Amsterdam, Amsterdam, Netherlands, 2University Medical Center Utrecht, Utrecht, Netherlands

The main characteristic of an MRF sequence is the simultaneous application of (a) transient states excitation and (b) highly undersampled k-space. Despite the promising empirical results obtained with MRF, no work has appeared that formally describes the combined impact of these two aspects on the reconstruction accuracy. We derive a mathematical model that directly relates the time varying RF excitation and the k-space sampling to the spatially dependent reconstruction errors. An in-depth analysis of the model reveals that, analogously to the compressed sensing framework, incoherence plays a fundamental role also in MRF.

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