(Mathematical) Necessary conditions for the selection of gradient vectors in DTI

Journal of Magnetic Resonance

Volumn 172, Issue 2, 2005, Pages 238-241

  Özcan, Alpay ^a  

^a WASHINGTON UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

Diffusion tensor imaging; Linear algebra

Indexed keywords

DIFFUSION GRADIENTS; DIFFUSION MATRIX; PULSED GRADIENT SPIN ECHO (PGSE); TWO-DIMENSIONAL SUBSPACE;

DIFFUSION; FUNCTIONS; MATRIX ALGEBRA; PROBLEM SOLVING; SET THEORY; TENSORS; VECTORS;

LINEAR EQUATIONS;

ARTICLE; DIFFUSION WEIGHTED IMAGING; MATHEMATICS; METHODOLOGY; STATISTICAL MODEL;

DIFFUSION MAGNETIC RESONANCE IMAGING; LINEAR MODELS; MATHEMATICS;

EID: 11344254685     PISSN: 10907807     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmr.2004.10.013     Document Type: Article

References (11)

1. N.A. Papadakis, D. Xing, C.L.-H. Huang, L.D. Hall, and T.A. Carpenter A comparative study of acquisition schemes for diffusion tensor imaging using MRI J. Magn. Reson. 137 1999 67 82
2. K. Hassan, D.L. Parker, and A.L. Alexander Comparison of gradient encoding schemes for diffusion-tensor MRI J. Magn. Reson. Imag. 13 2001 769 780
3. S. Skare, M. Hedehus, M.E. Moseley, and T.-Q. Li Condition number as a measure of noise performance of diffusion tensor data acquisition schemes with MRI J. Magn. Reson. 147 2000 340 352
4. P. Batchelor, D. Atkinson, D. Hill, F. Calamante, and A. Connelly Anisotropic noise propagation in diffusion tensor MRI sampling schemes Magn. Reson. Med. 49 2003 1143 1151
5. D.G. Luenberger Optimization by Vector Space Methods 1969 Wiley New York
6. P.J. Basser, J. Matiello, and D. LeBihan Estimation of the effective self-diffusion tensor from the NMR spin echo J. Magn. Reson. Ser. A 103 1994 247 254
7. P.J. Basser, and C. Pierpaoli Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI J. Magn. Reson. Ser. B 111 1996 209 219
8. N.A. Papadakis, C.D. Murrils, L.D. Hall, C.L.-H. Huang, and T.A. Carpenter Minimal gradient encoding for robust estimation of diffusion anisotropy Magn. Resonan. Imag. 18 2000 671 679
9. C.-F. Westin, S.E. Maier, H. Mamata, A. Nabavi, F.A. Jolesz, and R. Kikinis Processing and visualization for diffusion tensor MRI Med. Image Anal. 6 2002 93 108
10. R. Ito, S. Mori, and E.R. Melhem Diffusion tensor brain imaging and tractography Neuroimag. Clin. North Am. 12 1 2002 1 19
11. P.J. Basser, and C. Pierpaoli A simplified method to measure the diffusion tensor from seven MR images Magn. Reson. Med. 39 1998 928 934