Literature DB >> 15649751

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

Alpay Ozcan1.   

Abstract

A set of necessary conditions for the choice of diffusion gradient vectors to make the linear equations nonsingular for the estimation of the diffusion matrix are given in a coordinate free manner. The conditions assert that the initial step in the design of a DTI experiment with six or more acquisitions must be to select six valid diffusion gradients first and then add new ones.

Mesh：

Year:  2005        PMID： 15649751      PMCID： PMC3084594          DOI： 10.1016/j.jmr.2004.10.013

Source DB:  PubMed          Journal:  J Magn Reson        ISSN： 1090-7807            Impact factor:   2.229


  10 in total

1.  Comparison of gradient encoding schemes for diffusion-tensor MRI.

Authors:  K M Hasan; D L Parker; A L Alexander
Journal:  J Magn Reson Imaging       Date:  2001-05       Impact factor: 4.813

2.  Condition number as a measure of noise performance of diffusion tensor data acquisition schemes with MRI.

Authors:  S Skare; M Hedehus; M E Moseley; T Q Li
Journal:  J Magn Reson       Date:  2000-12       Impact factor: 2.229

3.  Minimal gradient encoding for robust estimation of diffusion anisotropy.

Authors:  N G Papadakis; C D Murrills; L D Hall; C L Huang; T Adrian Carpenter
Journal:  Magn Reson Imaging       Date:  2000-07       Impact factor: 2.546

4.  Diffusion tensor brain imaging and tractography.

Authors:  Ryuta Ito; Susumu Mori; Elias R Melhem
Journal:  Neuroimaging Clin N Am       Date:  2002-02       Impact factor: 2.264

Review 5.  Processing and visualization for diffusion tensor MRI.

Authors:  C-F Westin; S E Maier; H Mamata; A Nabavi; F A Jolesz; R Kikinis
Journal:  Med Image Anal       Date:  2002-06       Impact factor: 8.545

6.  Anisotropic noise propagation in diffusion tensor MRI sampling schemes.

Authors:  P G Batchelor; D Atkinson; D L G Hill; F Calamante; A Connelly
Journal:  Magn Reson Med       Date:  2003-06       Impact factor: 4.668

7.  A comparative study of acquisition schemes for diffusion tensor imaging using MRI.

Authors:  N G Papadakis; D Xing; C L Huang; L D Hall; T A Carpenter
Journal:  J Magn Reson       Date:  1999-03       Impact factor: 2.229

8.  A simplified method to measure the diffusion tensor from seven MR images.

Authors:  P J Basser; C Pierpaoli
Journal:  Magn Reson Med       Date:  1998-06       Impact factor: 4.668

9.  Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI.

Authors:  P J Basser; C Pierpaoli
Journal:  J Magn Reson B       Date:  1996-06

10.  Estimation of the effective self-diffusion tensor from the NMR spin echo.

Authors:  P J Basser; J Mattiello; D LeBihan
Journal:  J Magn Reson B       Date:  1994-03
  10 in total
  10 in total

1.  Characterization of imaging gradients in diffusion tensor imaging.

Authors:  Alpay Özcan
Journal:  J Magn Reson       Date:  2010-08-13       Impact factor: 2.229

2.  Theoretical and experimental analysis of imaging gradients in DTI.

Authors:  Alpay Ozcan
Journal:  Conf Proc IEEE Eng Med Biol Soc       Date:  2009

3.  Decoupling of imaging and diffusion gradients in DTI.

Authors:  Alpay Ozcan
Journal:  Conf Proc IEEE Eng Med Biol Soc       Date:  2009

4.  Q-space trajectory imaging for multidimensional diffusion MRI of the human brain.

Authors:  Carl-Fredrik Westin; Hans Knutsson; Ofer Pasternak; Filip Szczepankiewicz; Evren Özarslan; Danielle van Westen; Cecilia Mattisson; Mats Bogren; Lauren J O'Donnell; Marek Kubicki; Daniel Topgaard; Markus Nilsson
Journal:  Neuroimage       Date:  2016-02-23       Impact factor: 6.556

5.  Minimization of imaging gradient effects in diffusion tensor imaging.

Authors:  Alpay Özcan
Journal:  IEEE Trans Med Imaging       Date:  2011-03       Impact factor: 10.048

6.  Noise and nonlinear estimation with optimal schemes in DTI.

Authors:  Alpay Özcan
Journal:  Magn Reson Imaging       Date:  2010-07-23       Impact factor: 2.546

7.  Geometric analysis of the b-dependent effects of Rician signal noise on diffusion tensor imaging estimates and determining an optimal b value.

Authors:  Paul A Taylor; Bharat Biswal
Journal:  Magn Reson Imaging       Date:  2011-05-08       Impact factor: 2.546

8.  Selective vulnerability of cerebral white matter in a murine model of multiple sclerosis detected using diffusion tensor imaging.

Authors:  Shu-Wei Sun; Hsiao-Fang Liang; Robert E Schmidt; Anne H Cross; Sheng-Kwei Song
Journal:  Neurobiol Dis       Date:  2007-06-23       Impact factor: 5.996

9.  Background and Mathematical Analysis of Diffusion MRI Methods.

Authors:  Alpay Ozcan; Kenneth H Wong; Linda Larson-Prior; Zang-Hee Cho; Seong K Mun
Journal:  Int J Imaging Syst Technol       Date:  2012-03-01       Impact factor: 2.000

10.  Complete fourier direct magnetic resonance imaging (CFD-MRI) for diffusion MRI.

Authors:  Alpay Ozcan
Journal:  Front Integr Neurosci       Date:  2013-04-02
  10 in total

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