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Literature DB >> 19063977

Mathematical methods for diffusion MRI processing.

C Lenglet¹, J S W Campbell, M Descoteaux, G Haro, P Savadjiev, D Wassermann, A Anwander, R Deriche, G B Pike, G Sapiro, K Siddiqi, P M Thompson.

Abstract

In this article, we review recent mathematical models and computational methods for the processing of diffusion Magnetic Resonance Images, including state-of-the-art reconstruction of diffusion models, cerebral white matter connectivity analysis, and segmentation techniques. We focus on Diffusion Tensor Images (DTI) and Q-Ball Images (QBI).

Entities: Chemical Disease Gene Species

Mesh：

Year: 2008 PMID： 19063977 PMCID： PMC2678879 DOI： 10.1016/j.neuroimage.2008.10.054

Source DB: PubMed Journal: Neuroimage ISSN： 1053-8119 Impact factor: 6.556

50 in total

1. An investigation of functional and anatomical connectivity using magnetic resonance imaging.

Authors: Martin A Koch; David G Norris; Margret Hund-Georgiadis
Journal: Neuroimage Date: 2002-05 Impact factor: 6.556

2. Automatic segmentation of thalamic nuclei from diffusion tensor magnetic resonance imaging.

Authors: Mette R Wiegell; David S Tuch; Henrik B W Larsson; Van J Wedeen
Journal: Neuroimage Date: 2003-06 Impact factor: 6.556

3. A normal distribution for tensor-valued random variables: applications to diffusion tensor MRI.

Authors: Peter J Basser; Sinisa Pajevic
Journal: IEEE Trans Med Imaging Date: 2003-07 Impact factor: 10.048

4. The effect of gradient sampling schemes on measures derived from diffusion tensor MRI: a Monte Carlo study.

Authors: Derek K Jones
Journal: Magn Reson Med Date: 2004-04 Impact factor: 4.668

5. Log-Euclidean metrics for fast and simple calculus on diffusion tensors.

Authors: Vincent Arsigny; Pierre Fillard; Xavier Pennec; Nicholas Ayache
Journal: Magn Reson Med Date: 2006-08 Impact factor: 4.668

6. Q-ball reconstruction of multimodal fiber orientations using the spherical harmonic basis.

Authors: Christopher P Hess; Pratik Mukherjee; Eric T Han; Duan Xu; Daniel B Vigneron
Journal: Magn Reson Med Date: 2006-07 Impact factor: 4.668

7. A unified computational framework for deconvolution to reconstruct multiple fibers from diffusion weighted MRI.

Authors: Bing Jian; Baba C Vemuri
Journal: IEEE Trans Med Imaging Date: 2007-11 Impact factor: 10.048

8. Probabilistic inference on Q-ball imaging data.

Authors: Hubert M J Fonteijn; Frans A J Verstraten; David G Norris
Journal: IEEE Trans Med Imaging Date: 2007-11 Impact factor: 10.048

9. Diffusion-weighted MR imaging of anisotropic water diffusion in cat central nervous system.

Authors: M E Moseley; Y Cohen; J Kucharczyk; J Mintorovitch; H S Asgari; M F Wendland; J Tsuruda; D Norman
Journal: Radiology Date: 1990-08 Impact factor: 11.105

10. Estimating distributed anatomical connectivity using fast marching methods and diffusion tensor imaging.

Authors: Geoffrey J M Parker; Claudia A M Wheeler-Kingshott; Gareth J Barker
Journal: IEEE Trans Med Imaging Date: 2002-05 Impact factor: 10.048

25 in total

1. Reconstruction of the orientation distribution function in single- and multiple-shell q-ball imaging within constant solid angle.

Authors: Iman Aganj; Christophe Lenglet; Guillermo Sapiro; Essa Yacoub; Kamil Ugurbil; Noam Harel
Journal: Magn Reson Med Date: 2010-08 Impact factor: 4.668

Mathematical methods for diffusion MRI processing.

1. An investigation of functional and anatomical connectivity using magnetic resonance imaging.

2. Automatic segmentation of thalamic nuclei from diffusion tensor magnetic resonance imaging.

3. A normal distribution for tensor-valued random variables: applications to diffusion tensor MRI.

4. The effect of gradient sampling schemes on measures derived from diffusion tensor MRI: a Monte Carlo study.

5. Log-Euclidean metrics for fast and simple calculus on diffusion tensors.

6. Q-ball reconstruction of multimodal fiber orientations using the spherical harmonic basis.

7. A unified computational framework for deconvolution to reconstruct multiple fibers from diffusion weighted MRI.

8. Probabilistic inference on Q-ball imaging data.

9. Diffusion-weighted MR imaging of anisotropic water diffusion in cat central nervous system.

10. Estimating distributed anatomical connectivity using fast marching methods and diffusion tensor imaging.

1. Reconstruction of the orientation distribution function in single- and multiple-shell q-ball imaging within constant solid angle.

2. Multinomial probabilistic fiber representation for connectivity driven clustering.

3. FRATS: Functional Regression Analysis of DTI Tract Statistics.

4. Semiparametric Bayesian local functional models for diffusion tensor tract statistics.

5. Mapping the human connectome.

6. Fasciculography: robust prior-free real-time normalized volumetric neural tract parcellation.

7. Kernel regression estimation of fiber orientation mixtures in diffusion MRI.

8. Estimating fiber orientation distribution from diffusion MRI with spherical needlets.

9. Cortical fibers orientation mapping using in-vivo whole brain 7 T diffusion MRI.

10. The effect of metric selection on the analysis of diffusion tensor MRI data.