Reduced aliasing artifacts using variable‐density k‐space sampling trajectories

A variable‐density k‐space sampling method is proposed to reduce aliasing artifacts in MR images. Because most of the energy of an image is concentrated around the k‐space center, aliasing artifacts will contain mostly low‐frequency components if the k‐space is uniformly undersampled. On the other hand, because the outer k‐space region contains little energy, undersampling that region will not contribute severe aliasing artifacts. Therefore, a variable‐density trajectory may sufficiently sample the central k‐space region to reduce low‐frequency aliasing artifacts and may undersample the outer k‐space region to reduce scan time and to increase resolution. In this paper, the variable‐density sampling method was implemented for both spiral imaging and two‐dimensional Fourier transform (2DFT) imaging. Simulations, phantom images and in vivo cardiac images show that this method can significantly reduce the total energy of aliasing artifacts. In general, this method can be applied to all types of k‐space sampling trajectories. Magn Reson Med 43:452–458, 2000. © 2000 Wiley‐Liss, Inc.