K-space sampling strategies

Abstract. The k-space algorithm offers a comprehensive way for classification and understanding of the imaging properties of all commonly used MR sequences. This presentation describes the basic concepts of k-space and its most relevant properties for MR imaging. The ramifications of k-space sampling is discussed for the most commonly used groups of MR sequences including gradient-echo techniques, echo-planar imaging, spin echo, and rapid acquisition relation enhanced imaging (e. g., turbo spin echo, fast spin echo). In addition, the basic problems and properties of sequences based on non-rectilinear k-space sampling, such as spiral imaging, are discussed. Their artifact behavior is significantly different from rectilinear scans, which project all imperfections along the phase-encoding directions, whereas the artifact produced by spirals are more complex and not always easily recognizable as such. An understanding of the k-space sampling offers important insight into the basic properties of a given sequence regarding signal-to-noise ratio, image distortion, resolution and contrast. It is demonstrated that the ultimate limitation in imaging speed is given by the loss of signal-to-noise ratio inherent to faster data sampling.

[1]  F A Jolesz,et al.  Partial RF echo‐planar imaging with the FAISE method. II. Contrast equivalence with spin‐echo sequences , 1992, Magnetic resonance in medicine.

[2]  J Hennig,et al.  RARE imaging: A fast imaging method for clinical MR , 1986, Magnetic resonance in medicine.

[3]  D C Harrison,et al.  Dynamic gadolinium‐enhanced three‐dimensional abdominal MR arteriography , 1993, Journal of magnetic resonance imaging : JMRI.

[4]  R. Turner,et al.  Dynamic magnetic resonance imaging of human brain activity during primary sensory stimulation. , 1992, Proceedings of the National Academy of Sciences of the United States of America.

[5]  Douglas C. Noll,et al.  Deblurring for non‐2D fourier transform magnetic resonance imaging , 1992, Magnetic resonance in medicine.

[6]  S. Ogawa,et al.  Oxygenation‐sensitive contrast in magnetic resonance image of rodent brain at high magnetic fields , 1990, Magnetic resonance in medicine.

[7]  R. Henkelman,et al.  Why fat is bright in rare and fast spin‐echo imaging , 1992, Journal of magnetic resonance imaging : JMRI.

[8]  Peter Mansfield,et al.  Planar spin imaging by NMR , 1976 .

[9]  J S Lewin,et al.  Invited. Remember true FISP? a high SNR, near 1‐second imaging method for T2‐like contrast in interventional MRI at .2 T , 1998, Journal of magnetic resonance imaging : JMRI.

[10]  J Hennig,et al.  Breath‐Hold Projection Magnetic Resonance‐Cholangio‐Pancreaticography (MRCP): a New Method for the Examination of the Bile and Pancreatic Ducts , 1995, Magnetic resonance in medicine.

[11]  P Mansfield,et al.  Real-time echo-planar imaging by NMR. , 1984, British medical bulletin.

[12]  J Hennig,et al.  Rapid nontomographic approach to MR myelography without contrast agents. , 1986, Journal of computer assisted tomography.

[13]  Kim Butts,et al.  Analysis of flow effects in echo‐planar imaging , 1992, Journal of magnetic resonance imaging : JMRI.

[14]  J Hennig,et al.  Frequency resolved single‐shot MR imaging using stochastic k‐space trajectories , 1996, Magnetic resonance in medicine.

[15]  Robert R. Edelman,et al.  Noninvasive assessment of regional ventilation in the human lung using oxygen–enhanced magnetic resonance imaging , 1996, Nature Medicine.

[16]  A. Haase,et al.  Rapid NMR imaging of dynamic processes using the FLASII technique , 1986, Magnetic resonance in medicine.

[17]  D G Nishimura,et al.  A Velocity k‐Space Analysis of Flow Effects in Echo‐Planar and Spiral Imaging , 1995, Magnetic resonance in medicine.

[18]  G H Glover,et al.  Motion Artifacts in fMRI: Comparison of 2DFT with PR and Spiral Scan Methods , 1995, Magnetic resonance in medicine.

[19]  M E Moseley,et al.  Ultrafast magnetic resonance imaging: diffusion and perfusion. , 1991, Canadian Association of Radiologists journal = Journal l'Association canadienne des radiologistes.

[20]  P. Jezzard,et al.  Correction for geometric distortion in echo planar images from B0 field variations , 1995, Magnetic resonance in medicine.

[21]  H. W. Park,et al.  Fast gradient‐echo chemical‐shift imaging , 1988, Magnetic resonance in medicine.

[22]  P. Lauterbur,et al.  Image Formation by Induced Local Interactions: Examples Employing Nuclear Magnetic Resonance , 1973, Nature.

[23]  J. Tukey,et al.  An algorithm for the machine calculation of complex Fourier series , 1965 .