An efficient gridding reconstruction method for multishot non-Cartesian imaging with correction of off-resonance artifacts

An efficient iterative gridding reconstruction method with correction of off‐resonance artifacts was developed, which is especially tailored for multiple‐shot non‐Cartesian imaging. The novelty of the method lies in that the transformation matrix for gridding (T) was constructed as the convolution of two sparse matrices, among which the former is determined by the sampling interval and the spatial distribution of the off‐resonance frequencies and the latter by the sampling trajectory and the target grid in the Cartesian space. The resulting T matrix is also sparse and can be solved efficiently with the iterative conjugate gradient algorithm. It was shown that, with the proposed method, the reconstruction speed in multiple‐shot non‐Cartesian imaging can be improved significantly while retaining high reconstruction fidelity. More important, the method proposed allows tradeoff between the accuracy and the computation time of reconstruction, making customization of the use of such a method in different applications possible. The performance of the proposed method was demonstrated by numerical simulation and multiple‐shot spiral imaging on rat brain at 4.7 T. Magn Reson Med, 2010. © 2010 Wiley‐Liss, Inc.