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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