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@inproceedings{1758057,
author = {Bihonegn, Temesgen Tsegaye and Bansal, Avinash and Slovák, Jan and Kaushik, Sumit},
address = {New York},
booktitle = {2020 7th International Conference on Biomedical and Bioinformatics Engineering (ICBBE ’20)},
doi = {http://dx.doi.org/10.1145/3444884.3444892},
editor = {Temesgen, et al.},
keywords = {Diffusion Tensor Imaging; Tensor Reduction; Segmentation; Diagonal component (DC); Fiber Resolution},
howpublished = {elektronická verze "online"},
language = {eng},
location = {New York},
isbn = {978-1-4503-8822-1},
pages = {36-42},
publisher = {Association for Computing Machinery},
title = {4th order tensors for multi-fiber resolution and segmentation in white matter},
url = {https://dl.acm.org/doi/10.1145/3444884.3444892},
year = {2020}
}
TY - JOUR
ID - 1758057
AU - Bihonegn, Temesgen Tsegaye - Bansal, Avinash - Slovák, Jan - Kaushik, Sumit
PY - 2020
TI - 4th order tensors for multi-fiber resolution and segmentation in white matter
PB - Association for Computing Machinery
CY - New York
SN - 9781450388221
KW - Diffusion Tensor Imaging
KW - Tensor Reduction
KW - Segmentation
KW - Diagonal component (DC)
KW - Fiber Resolution
UR - https://dl.acm.org/doi/10.1145/3444884.3444892
N2 - Since its inception, DTI modality has become an essential tool in the clinical scenario. In principle, it is rooted in the emergence of symmetric positive definite (SPD) second-order tensors modelling the difusion. The inability of DTI to model regions of white matter with fibers crossing/merging leads to the emergence of higher order tensors. In this work, we compare various approaches how to use 4th order tensors to model such regions. There are three different projections of these 3D 4th order tensors to the 2nd order tensors of dimensions either three or six. Two of these projections are consistent in terms of preserving mean diffusivity and isometry. The images of all three projections are SPD, so they belong to a Riemannian symmetric space. Following previous work of the authors, we use the standard k-means segmentation method after dimension reduction with affinity matrix based on reasonable similarity measures, with the goal to compare the various projections to 2nd order tensors. We are using the natural affine and log-Euclidean (LogE) metrics. The segmentation of curved structures and fiber crossing regions is performed under the presence of several levels of Rician noise. The experiments provide evidence that 3D 2nd order reduction works much better than the 6D one, while diagonal components (DC) projections are able to reveal the maximum diffusion direction.
ER -
BIHONEGN, Temesgen Tsegaye, Avinash BANSAL, Jan SLOVÁK a Sumit KAUSHIK. 4th order tensors for multi-fiber resolution and segmentation in white matter. Online. In Temesgen, et al. \textit{2020 7th International Conference on Biomedical and Bioinformatics Engineering (ICBBE ’20)}. New York: Association for Computing Machinery, 2020, s.~36-42. ISBN~978-1-4503-8822-1. Dostupné z: https://dx.doi.org/10.1145/3444884.3444892.
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