Abstract
In this paper, we present a method based on sparse non-negative matrix factorization (NMF) for brain tissue segmentation using diffusion MRI (DMRI) data. Unlike existing NMF-based approaches, in our method NMF is applied to the spherical mean data, computed on a per-shell basis, instead of the original diffusion-weighted images. This is motivated by the fact that the spherical mean is independent of the fiber orientation distribution and is only dependent on tissue microstructure. Applying NMF to the spherical mean data will hence allow tissue signal separation based solely on the microstructural properties, unconfounded by factors such as fiber dispersion and crossing. We show results explaining why applying NMF directly on the diffusion-weighted images fails and why our method is able to yield the expected outcome, producing tissue segmentation with greater accuracy.
Original language | English |
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Title of host publication | Mathematics and Visualization |
Editors | Elisenda Bonet-Carne, Francesco Grussu, Lipeng Ning, Farshid Sepehrband, Chantal M.W. Tax |
Publisher | Springer Heidelberg |
Pages | 69-76 |
Number of pages | 8 |
ISBN (Print) | 9783030058302 |
DOIs | |
Publication status | Published - 2019 |
Event | International Workshop on Computational Diffusion MRI, CDMRI 2018 held with International Conference on Medical Image Computing and Computer Assisted Intervention, MICCAI 2018 - Granada, Spain Duration: 2018 Sept 20 → 2018 Sept 20 |
Publication series
Name | Mathematics and Visualization |
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ISSN (Print) | 1612-3786 |
ISSN (Electronic) | 2197-666X |
Conference
Conference | International Workshop on Computational Diffusion MRI, CDMRI 2018 held with International Conference on Medical Image Computing and Computer Assisted Intervention, MICCAI 2018 |
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Country/Territory | Spain |
City | Granada |
Period | 18/9/20 → 18/9/20 |
Bibliographical note
Funding Information:This work was supported in part by NIH grants (NS093842, EB022880, EB006733, EB009634, AG041721, MH100217, and AA012388) and NSFC grants (11671022 and 61502392).
Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
Keywords
- Diffusion MRI
- Sparse NMF
- Spherical mean
- Tissue segmentation
ASJC Scopus subject areas
- Modelling and Simulation
- Geometry and Topology
- Computer Graphics and Computer-Aided Design
- Applied Mathematics