• fMRI;
  • brain;
  • variable-density spiral;
  • high resolution


A variable-density spiral k-space trajectory is introduced for brain functional magnetic resonance imaging. The proposed spiral trajectory consists of an Archimedean spiral from the k-space origin to an arbitrary fraction r of the maximum k-space radius, extending beyond this point with a variable-density spiral in which the sampling density decreases as the k-space radius increases. It, therefore, permits a reduction in readout time at the expense of undersampling only the high spatial frequencies, in which the energy in T2*-weighted brain images is low. The trajectory was implemented in a two-dimensional spiral-in/out sequence, and single-shot high-resolution (1.72 × 1.72 mm2 in-plane) functional magnetic resonance imaging data were acquired from human volunteers. Compared with a two-shot fully Archimedean spiral sequence with the same spatial coverage and total scan time, the variable-density sequence yielded greater activation magnitudes with improved temporal efficiency and minor artifacts. Magn Reson Med, 2011. © 2010 Wiley-Liss, Inc.