ANTHEM: anatomically tailored hexagonal MRI.

PURPOSE This study aimed to investigate the use of anatomically tailored hexagonal sampling for scan-time and error reduction in MRI. MATERIALS AND METHODS Anatomically tailored hexagonal MRI (ANTHEM), a method that combines hexagonal sampling with specific symmetry in anatomical geometry, is proposed. By using hexagonal sampling, aliasing artifacts are moved to regions where, due to the nature of the anatomy, aliasing is inconsequential. This can be used to either reduce scan time while maintaining spatial resolution or reduce residual errors in speedup techniques like UNFOLD and k-t BLAST/SENSE, which undersample k-space and unwrap fold-over artifacts during reconstruction. Computer simulations as well as phantom and volunteer studies were used to validate the theory. A simplified reconstruction algorithm for hexagonally sampled and subsampled k-space data was also used. RESULTS A reduction in sampling density of 13.4% and 25% in each hexagonally sampled dimension was achieved for spherical and conical geometries without aliasing or reduction in spatial resolution. Optimal subsampling schemes that can be utilized by UNFOLD and k-t BLAST/SENSE were derived using hexagonal subsampling, which resulted in maximal, isotropic dispersal of the aliases. In combination with UNFOLD, ANTHEM was shown to move residual aliasing artifacts to the corners of the field of view, yielding reduced artifacts in CINE reconstructions. CONCLUSIONS ANTHEM was successful in reducing acquisition time in conventional MRI and in reducing errors in UNFOLD imaging.

[1]  R.M. Mersereau,et al.  The processing of hexagonally sampled two-dimensional signals , 1979, Proceedings of the IEEE.

[2]  E. Dubois,et al.  The sampling and reconstruction of time-varying imagery with application in video systems , 1985, Proceedings of the IEEE.

[3]  Peter Boesiger,et al.  Optimizing spatiotemporal sampling for k‐t BLAST and k‐t SENSE: Application to high‐resolution real‐time cardiac steady‐state free precession , 2005, Magnetic resonance in medicine.

[4]  Bob S. Hu,et al.  Fast Spiral Coronary Artery Imaging , 1992, Magnetic resonance in medicine.

[5]  J C Ehrhardt,et al.  MR data acquisition and reconstruction using efficient sampling schemes. , 1990, IEEE transactions on medical imaging.

[6]  J. J. van Vaals,et al.  “Keyhole” method for accelerating imaging of contrast agent uptake , 1993, Journal of magnetic resonance imaging : JMRI.

[7]  Zhi-Pei Liang,et al.  An efficient method for dynamic magnetic resonance imaging , 1994, IEEE Trans. Medical Imaging.

[8]  R. Bracewell The Fourier Transform and Its Applications , 1966 .

[9]  N J Pelc,et al.  Unaliasing by Fourier‐encoding the overlaps using the temporal dimension (UNFOLD), applied to cardiac imaging and fMRI , 1999, Magnetic resonance in medicine.

[10]  N. J. A. Sloane,et al.  Sphere Packings, Lattices and Groups , 1987, Grundlehren der mathematischen Wissenschaften.

[11]  P. Boesiger,et al.  Advances in sensitivity encoding with arbitrary k‐space trajectories , 2001, Magnetic resonance in medicine.

[12]  G. Mckinnon Ultrafast interleaved gradient‐echo‐planar imaging on a standard scanner , 1993, Magnetic resonance in medicine.

[13]  Peter Boesiger,et al.  k‐t BLAST and k‐t SENSE: Dynamic MRI with high frame rate exploiting spatiotemporal correlations , 2003, Magnetic resonance in medicine.

[14]  James C. Ehrhardt Hexagonal fast Fourier transform with rectangular output , 1993, IEEE Trans. Signal Process..