Local White Matter Geometry from Diffusion Tensor Gradients

P. Savadjiev, G. Kindlmann, S. Bouix, M. E. Shenton, C. F. Westin
Volume 49, Pages 3175-3186

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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.


Savadjiev P, Kindlmann G, Bouix S, Shenton ME, Westin CF. Local white matter geometry from diffusion tensor gradients. Neuroimage 2010;49:3175-3186.


NIH R01 MH074794, NIH P41 RR13218, NIH U41 RR019703, NIH U54 EB005149, NIH R01MH50740, NIH K05MH070047, NIH P50MH080272, NIH R01MH082918, NIH R03TW008134,

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