MR Fingerprinting can be used for a fast and quantitative estimation of physical parameters in MRI. For the fast acquisition of MRF, common approaches have used non-Cartesian sampling of k-space. Here, we introduce a method for non-iterative anti-aliasing of the spiral MRF time series, based on the concept of keyhole imaging. Our approach does not change acquisition or dictionary creation and matching procedures. As frames require only minimal density compensation in k-space, noise amplification during reconstruction is reduced. After applying our algorithm, individual images from the MRF time series are artifact-free and clearer parameter maps are obtained in a shorter time while preserving the accurate quantification of MRF.
Our method is based on the concept of k-space view sharing. The original MRF approach applies density correction to the acquired k-space points and zero-filling to non-acquired datapoints. In our approach, k-space coordinates are first divided into two groups: oversampled part, where the k-space density compensation function (DCF) is less than 1, and the undersampled part, where the DCF is greater than 1 (Figure 1a). In the oversampled area, standard density compensation is applied (Figure 1b). In the undersampled area, each k-space point is shared with 2n neighbouring views. The number 2n approximates, for each k-space coordinate, the sampling density associated with the given distance to the k-space centre (Figure 1c). As this view-sharing step only accounts for odd integer DCF values, a small density correction factor is still applied to the borrowed data-points to achieve uniform sampling across all k-space points (Figure 1d).
MRF acquisition
Data was acquired using a gradient-spoiled SSFP spiral MRF sequence at 1.5T (GE HDx, 8ch receiver coil, Milwaukee USA) [2]. Dictionary creation and pattern matching were as in [1], acquisition parameter list is shown in Figure 2. To maximize spatial and temporal incoherence, we incremented the angle of the spirals each time by the golden angle [7].
Conservation of quantification and acceleration
We scanned the Eurospin TO5 phantom [8], and retrospectively performed the MRF experiment using the first 356, 712, 1078, and 1424 frames. We compared quantification values across undersampling factors and between the keyhole approach and the standard reconstruction. To evaluate the method in a more realistic case, we acquired data in one asymptomatic volunteer.
Conservation of image geometry
To assess whether the described anti-aliasing technique would corrupt image geometry, we scanned a resolution phantom and compared the image when applying the algorithm and when not applying it. We used visual inspection for qualitative assessment and the autofocus objective function [9] averaged across the image as a quantitative metric of conservation of the PSF.
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