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Bilateral Filtering of Multiple Fiber Orientations in Diffusion MRI

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Computational Diffusion MRI

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

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Abstract

We present and evaluate a bilateral filter for smoothing diffusion MRI fiber orientations with preservation of anatomical boundaries and support for multiple fibers per voxel. Two challenges in the process are the geometric structure of fiber orientations and the combinatorial problem of matching multiple fibers across voxels. To address these issues, we define distances and local estimators of weighted collections of multi-fiber models and show that these provide a basis for an efficient bilateral filtering algorithm for orientation data. We evaluate our approach with experiments testing the effect on tractography-based reconstruction of fiber bundles and response to synthetic noise in computational phantoms and clinical human brain data. We found this to significantly reduce the effects of noise and to avoid artifacts introduced by linear filtering. This approach has potential applications to diffusion MR tractography, brain connectivity mapping, and cardiac modeling.

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Author information

Authors and Affiliations

  1. Brown University, Providence, RI, USA

    Ryan P. Cabeen & David H. Laidlaw

Authors
  1. Ryan P. Cabeen
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  2. David H. Laidlaw
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Corresponding author

Correspondence to Ryan P. Cabeen .

Editor information

Editors and Affiliations

  1. Harvard Medical School Brigham and Women's Hospital, Boston, Massachusetts, USA

    Lauren O'Donnell

  2. Dept. of Computer Science, University College London Dept of Computer Science, London, United Kingdom

    Gemma Nedjati-Gilani

  3. Harvard Medical School Brigham and Women's Hospital, Boston, Massachusetts, USA

    Yogesh Rathi

  4. University Medical Center Freiburg Department of Radiology, Freiburg, Germany

    Marco Reisert

  5. Queen Square Multiple Sclerosis Centre, UCL Institute of Neurology, Queen Square House, Queen Square, London, United Kingdom

    Torben Schneider

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© 2014 Springer International Publishing Switzerland

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Cabeen, R.P., Laidlaw, D.H. (2014). Bilateral Filtering of Multiple Fiber Orientations in Diffusion MRI. In: O'Donnell, L., Nedjati-Gilani, G., Rathi, Y., Reisert, M., Schneider, T. (eds) Computational Diffusion MRI. Mathematics and Visualization. Springer, Cham. https://doi.org/10.1007/978-3-319-11182-7_17

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