Diffusion tensor imaging at low SNR: nonmonotonic behaviors of tensor contrasts.

[1]  M. Bastin,et al.  A theoretical study of the effect of experimental noise on the measurement of anisotropy in diffusion imaging. , 1998, Magnetic resonance imaging.

[2]  G. Albers,et al.  Diffusion-weighted MRI for evaluation of acute stroke , 1998, Neurology.

[3]  M. I. Smith,et al.  A study of rotationally invariant and symmetric indices of diffusion anisotropy. , 1999, Magnetic resonance imaging.

[4]  Khader M Hasan,et al.  Computation of the fractional anisotropy and mean diffusivity maps without tensor decoding and diagonalization: Theoretical analysis and validation , 2003, Magnetic resonance in medicine.

[5]  Peter B Kingsley,et al.  Contrast‐to‐noise ratios of diffusion anisotropy indices , 2005, Magnetic resonance in medicine.

[6]  Xiaohong Joe Zhou,et al.  Analytical error propagation in diffusion anisotropy calculations , 2004, Journal of magnetic resonance imaging : JMRI.

[7]  Jerry L. Prince,et al.  Diffusion Tensor Estimation by Maximizing Rician Likelihood , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[8]  S. Nakamura,et al.  Serial diffusion-weighted imaging in MELAS , 2000, Neuroradiology.

[9]  S Skare,et al.  Condition number as a measure of noise performance of diffusion tensor data acquisition schemes with MRI. , 2000, Journal of magnetic resonance.

[10]  Derek K Jones,et al.  Applications of diffusion‐weighted and diffusion tensor MRI to white matter diseases – a review , 2002, NMR in biomedicine.

[11]  Rachid Deriche,et al.  DT-MRI Images: Estimation, Regularization, and Application , 2003, EUROCAST.

[12]  P. V. van Zijl,et al.  Analysis of noise effects on DTI‐based tractography using the brute‐force and multi‐ROI approach , 2004, Magnetic resonance in medicine.

[13]  L. Shepp,et al.  The Complex Zeros of Random Polynomials , 1995 .

[14]  P. Basser,et al.  Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI. , 1996, Journal of magnetic resonance. Series B.

[15]  J. M. Hammersley,et al.  The Zeros of a Random Polynomial , 1956 .

[16]  Susumu Mori,et al.  Fiber tracking: principles and strategies – a technical review , 2002, NMR in biomedicine.

[17]  Thomas Bloom,et al.  ZEROS OF RANDOM POLYNOMIALS ON C m , 2006 .

[18]  P. Basser,et al.  Toward a quantitative assessment of diffusion anisotropy , 1996, Magnetic resonance in medicine.

[19]  A. Connelly,et al.  Anisotropic noise propagation in diffusion tensor MRI sampling schemes , 2003, Magnetic resonance in medicine.

[20]  D. Le Bihan,et al.  From the diffusion coefficient to the diffusion tensor , 2002, NMR in biomedicine.

[21]  M. Niethammer,et al.  On Diffusion Tensor Estimation , 2006, 2006 International Conference of the IEEE Engineering in Medicine and Biology Society.

[22]  A. Anderson Theoretical analysis of the effects of noise on diffusion tensor imaging , 2001, Magnetic resonance in medicine.

[23]  Denis Le Bihan,et al.  From the diffusion coefficient to the diffusion tensor. , 2002 .

[24]  Volkmar Glauche,et al.  Diffusion tensor imaging detects early Wallerian degeneration of the pyramidal tract after ischemic stroke , 2004, NeuroImage.

[25]  Jerry L Prince,et al.  Effects of signal‐to‐noise ratio on the accuracy and reproducibility of diffusion tensor imaging–derived fractional anisotropy, mean diffusivity, and principal eigenvector measurements at 1.5T , 2007, Journal of magnetic resonance imaging : JMRI.

[26]  M R Symms,et al.  In vivo diffusion tensor imaging of the human optic nerve: Pilot study in normal controls , 2006, Magnetic resonance in medicine.

[27]  H. Gudbjartsson,et al.  The rician distribution of noisy mri data , 1995, Magnetic resonance in medicine.

[28]  A. Gass,et al.  Acute and chronic changes of the apparent diffusion coefficient in neurological disorders—biophysical mechanisms and possible underlying histopathology , 2001, Journal of the Neurological Sciences.

[29]  Derek K. Jones,et al.  “Squashing peanuts and smashing pumpkins”: How noise distorts diffusion‐weighted MR data , 2004, Magnetic resonance in medicine.

[30]  Jerry L. Prince,et al.  Effects of diffusion weighting schemes on the reproducibility of DTI-derived fractional anisotropy, mean diffusivity, and principal eigenvector measurements at 1.5T , 2007, NeuroImage.

[31]  P van Gelderen,et al.  Water diffusion and acute stroke , 1994, Magnetic resonance in medicine.

[32]  C T Moonen,et al.  Diffusion tensor MRI of the spinal cord , 2000, Magnetic resonance in medicine.

[33]  J. E. Tanner,et al.  Spin diffusion measurements : spin echoes in the presence of a time-dependent field gradient , 1965 .

[34]  R. Henkelman Measurement of signal intensities in the presence of noise in MR images. , 1985, Medical physics.

[35]  Zhaohua Ding,et al.  Quantitative diffusion tensor MRI-based fiber tracking of human skeletal muscle. , 2007, Journal of applied physiology.

[36]  P. Basser,et al.  A unifying theoretical and algorithmic framework for least squares methods of estimation in diffusion tensor imaging. , 2006, Journal of magnetic resonance.