ML Anthology

Probabilistic Multi-Tensor Estimation Using the Tensor Distribution Function

Alex D. Leow, Siwei Zhu, Katie McMahon, Greig I. de Zubicaray, Matthew Meredith, Margie Wright, Paul M. Thompson
CVPR 2008
doi:10.1109/CVPR.2008.4587745 /cvpr/2008/leow2008cvpr-probabilistic/

Abstract

Diffusion weighted magnetic resonance (MR) imaging is a powerful tool that can be employed to study white matter microstructure by examining the 3D displacement profile of water molecules in brain tissue. By applying diffusion-sensitized gradients along a minimum of 6 directions, second-order tensors can be computed to model dominant diffusion processes. However, conventional DTI is not sufficient to resolve crossing fiber tracts. A number of high-angular resolution schemes with greater than 6 gradient directions have been employed to address this issue. In this paper, we introduce the tensor distribution function (TDF), a probability function defined on the space of symmetric positive definite matrices. Here, fiber crossing is modeled as an ensemble of Gaussian diffusion processes with weights specified by the TDF once this optimal TDF is determined, the diffusion orientation distribution function (ODF) can easily be computed by analytic integration of the resulting displacement probability function.

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Cite

Text

Leow et al. "Probabilistic Multi-Tensor Estimation Using the Tensor Distribution Function." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2008. doi:10.1109/CVPR.2008.4587745

Markdown

[Leow et al. "Probabilistic Multi-Tensor Estimation Using the Tensor Distribution Function." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2008.](https://mlanthology.org/cvpr/2008/leow2008cvpr-probabilistic/) doi:10.1109/CVPR.2008.4587745

BibTeX

@inproceedings{leow2008cvpr-probabilistic,
  title     = {{Probabilistic Multi-Tensor Estimation Using the Tensor Distribution Function}},
  author    = {Leow, Alex D. and Zhu, Siwei and McMahon, Katie and de Zubicaray, Greig I. and Meredith, Matthew and Wright, Margie and Thompson, Paul M.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {2008},
  doi       = {10.1109/CVPR.2008.4587745},
  url       = {https://mlanthology.org/cvpr/2008/leow2008cvpr-probabilistic/}
}