Comparison of Pre-reconstruction Interpolation Methods for Rapid Compressed Sensing Reconstruction of Non-Cartesian k -Space

Pre-reconstruction cartesian-interpolation (gridding) algorithms are used to interpolate non-cartesian data onto a cartesian grid for simple cartesian reconstruction. In this work, we compare 3 such interpolation methods to the Non-Uniform Fast Fourier Transform (NUFFT). Two of the methods are simple single-coil interpolators (nearest neighbor and 3-point interpolation) and the other is a newer multi-coil method called GRAPPA Operator Regridding (GROG). We demonstrate that GROG is able to produce images which are quantitatively more similar to NUFFT reconstructed images than the other single-coil methods. We also demonstrate that GROG continues to outperform the other methods, even on highly undersampled datasets.

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