Sampling density compensation in MRI: Rationale and an iterative numerical solution

Magnetic Resonance in Medicine

Volumn 41, Issue 1, 1999, Pages 179-186

  Pipe, James G ^a,c   Menon, Padmanabhan ^b  

^a WAYNE STATE UNIVERSITY   (United States)

^b Wayne State University   (United States)

^c HARPER UNIVERSITY HOSPITAL   (United States)

Author keywords

Gridding; Nyquist; Sampling density; Spiral MRI

Indexed keywords

ITERATIVE METHODS; NUMERICAL METHODS;

DATA COLLECTION STRATEGIES; FAST RECONSTRUCTION; GRIDDING; NUMERICAL ITERATIVE METHODS; NYQUIST; SAMPLING DENSITIES; SPIRAL MRI; WEIGHTING FUNCTIONS;

DATA ACQUISITION;

ARTICLE; DENSITY; FOURIER TRANSFORMATION; NUCLEAR MAGNETIC RESONANCE IMAGING; THEORY;

EID: 0032957342     PISSN: 07403194     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1522-2594(199901)41:1<179::AID-MRM25>3.0.CO;2-V     Document Type: Article

References (13)

1. King KF, Moran PR. A unified description of NMR imaging, data collection strategies and reconstruction. Med Phys 1984;11:1-14.
2. Twieg D. The K-trajectory formulation of the NMR imaging process with applications in analysis and synthesis of imaging methods. Med Phys 1983;10:610-621.
3. Glover GH, Pauly JM. Projection reconstruction techniques for reduction of motion effects in MRI. Magn Reson Med 1992;28:275-289.
4. Ahn CB, Kim HH, Cho ZH. High-speed spiral-scan echo planar NMR imaging-I. IEEE Trans Med Imaging 1986:MI-5:2-7.
5. Meyer CH, Hu BS, Nishimura DG, Macovski A. Fast spiral coronary artery imaging. Magn Reson Med 1992;28:202-213.
6. Jackson JI, Nishimura DG, Macovski A. Twisting radial lines with application to robust magnetic resonance imaging of irregular flow. Magn Reson Med 1992;25:128-139.
7. Noll DC. Multishot rosette trajectories for spectrally selective MR imaging. IEEE Trans Med Imaging 1997;16:372-377.
8. Jackson JI, Meyer CH, Nishimura DG, Macovski A. Selection of a convolution function for Fourier inversion using gridding. IEEE Trans Med Imaging 1991;10:473-478.
9. Hoge RD, Kwan RKS, Pike BG. Density compensation functions for spiral MRI. Magn Reson Med 1997;38, 117-128.
10. Papadakis NG, Carpenter TA, Hall LD. An algorithm for numerical calculation of the k-space data-weighting for polarly sampled trajectories: application to spiral imaging. Magn Reson Imaging 1997;15:785-794.
11. Pipe JG. An approximation to spiral imaging using trapezoidal gradients and collapsing spirals. In: Proceedings of the ISMRM 4th Annual Meeting, New York: 1996, p. 391.
12. Jung K, Cho Z. Reduction of flow artifacts in NMR diffusion imaging using view-angle tilted line-integral projection reconstruction. Magn Reson Med 1991;19:349-360.
13. Trouard T, Sabharwal Y, Altbach M, Gmitro A. Analysis and comparison of motion-correction techniques in diffusion-weighted imaging. J Magn Reson Imaging 1996;6:925-935.