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Probabilistic White Matter Fiber Tracking using Particle Filtering and von Mises-Fisher Sampling
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Institution: |
1Department of Computer Science, University of York, York YO10 5DD, UK. 2Scientific Computing and Imaging Institute, University of Utah, UT 84112, USA. |
Publisher: |
Med Image Anal |
Publication Date: |
Feb-2009 |
Volume Number: |
13 |
Issue Number: |
1 |
Pages: |
5-18 |
Citation: |
Med Image Anal. 2009 Feb;13(1):5-18. |
PubMed ID: |
18602332 |
PMCID: |
PMC2771420 |
Keywords: |
Diffusion tensor, MRI Tractography, Probabilistic fiber tracking, Particle filtering, von Mises–Fisher sampling |
Appears in Collections: |
NA-MIC |
Sponsors: |
MH064065 (MH) funded by NIMH NIH HHS U54 EB005149 (EB) funded by NIBIB NIH HHS |
Generated Citation: |
Zhang F., Hancock E.R., Goodlett C., Gerig G. Probabilistic White Matter Fiber Tracking using Particle Filtering and von Mises-Fisher Sampling. Med Image Anal. 2009 Feb;13(1):5-18. PMID: 18602332. PMCID: PMC2771420. |
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| Paper: | Download, View online |
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Standard particle filtering technique have previously been applied to the problem of fiber tracking by Brun et al.(2002) and Bjornemo et al. (2002). However, these previous attempts have not utilised the full power of the technique, and as a result the fiber paths were tracked in a goal directed way. In this paper, we provide an advanced technique by presenting a fast and novel probabilistic method for white matter fiber tracking in diffusion weighted MRI (DWI), which takes advantage of the weighting and resampling mechanism of particle filtering. We formulate fiber tracking using a non-linear state space model which captures both smoothness regularity of the fibers and the uncertainties in the local fiber orientations due to noise and partial volume effects. Global fiber tracking is then posed as a problem of particle filtering. To model the posterior distribution, we classify voxels of the white matter as either prolate or oblate tensors. We then construct the orientation distributions for prolate and oblate tensors separately. Finally, the importance density function for particle filtering is modeled using the von Mises-Fisher distribution on a unit sphere. Fast and efficient sampling is achieved using Ulrich-Wood's simulation algorithm. Given a seed point, the method is able to rapidly locate the globally optimal fiber and also provides a probability map for potential connections. The proposed method is validated and compared to alternative methods both on synthetic data and real-world brain MRI datasets.
Additional Material
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Zhang-MedImageAnal2009-fig2.jpg (111kB)