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Local White Matter Geometry from Diffusion Tensor Gradients

Institution:
1Department of Radiology, Brigham and Women's Hospital, Harvard Medical School, Boston, MA, USA; Psychiatry Neuroimaging Laboratory, Department of Psychiatry, Brigham and Women's Hospital, Harvard Medical School, Boston, MA, USA.
2Psychiatry Neuroimaging Laboratory, Department of Psychiatry, Brigham and Women's Hospital, Harvard Medical School, Boston, MA, USA
3Department of Computer Science and Computation Institute, University of Chicago, Chicago, IL, USA
Publisher:
Elsevier Science
Publication Date:
Feb-2010
Journal:
Neuroimage
Volume Number:
49
Issue Number:
4
Pages:
3175-3186
Citation:
Neuroimage. 2010 Febr 15;49(4):3175-3186.
PubMed ID:
19896542
PMCID:
PMC2818447
Keywords:
Diffusion tensor imaging, Magnetic resonance imaging, Fiber geometry, Rotation tangents, Fiber dispersion, Fiber curving, Schizophrenia
Appears in Collections:
NA-MIC, LMI, NAC, NCIGT, PNL
Sponsors:
NIH R01 MH074794
NIH P41 RR13218
NIH U41 RR019703
NIH U54 EB005149
NIH R01 MH50740
NIH K05 MH070047
NIH P50 MH080272
NIH R01 MH082918
NIH R03 TW008134
Department of Veteran Affairs Merit Awards
VA Schizophrenia Center Grant
Center for Integration of Medicine and Innovative Technology Soldier in Medicine Award
Generated Citation:
Savadjiev P., Kindlmann G.L., Bouix S., Shenton M.E., Westin C-F. Local White Matter Geometry from Diffusion Tensor Gradients. Neuroimage. 2010 Febr 15;49(4):3175-3186. PMID: 19896542. PMCID: PMC2818447.
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We introduce a mathematical framework for computing geometrical properties of white matter fibers directly from diffusion tensor fields. The key idea is to isolate the portion of the gradient of the tensor field corresponding to local variation in tensor orientation, and to project it onto a coordinate frame of tensor eigenvectors. The resulting eigenframe-centered representation then makes it possible to define scalar indices (or measures) that describe the local white matter geometry directly from the diffusion tensor field and its gradient, without requiring prior tractography. We derive new scalar indices of (1) fiber dispersion and (2) fiber curving, and we demonstrate them on synthetic and in vivo data. Finally, we illustrate their applicability to a group study on schizophrenia.

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