Geodesic fiber tracking in white matter using activation
function

J 2021

Geodesic fiber tracking in white matter using activation function

BIHONEGN, Temesgen Tsegaye, Sumit KAUSHIK, Avinash BANSAL, Lubomír VOJTÍŠEK, Jan SLOVÁK et. al.

Basic information

Original name

Geodesic fiber tracking in white matter using activation function

Authors

BIHONEGN, Temesgen Tsegaye (231 Ethiopia, belonging to the institution), Sumit KAUSHIK (356 India, belonging to the institution), Avinash BANSAL (356 India, belonging to the institution), Lubomír VOJTÍŠEK (203 Czech Republic, belonging to the institution) and Jan SLOVÁK (203 Czech Republic, guarantor, belonging to the institution)

Edition

Computer Methods and Programs in Biomedicine, Elsevier, 2021, 0169-2607

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10102 Applied mathematics

Country of publisher

Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 7.027

RIV identification code

RIV/00216224:14310/21:00119136

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1016/j.cmpb.2021.106283

UT WoS

000685504200002

Keywords in English

Diffusion Tensor Imaging; Ray-tracing; Metric tensor; Fiber tracking; Geodesic equations

Abstract

V originále

Background and objective:The geodesic ray-tracing method has shown its effectiveness for the reconstruction of fibers in white matter structure. Based on reasonable metrics on the spaces of the diffusion tensors, it can provide multiple solutions and get robust to noise and curvatures of fibers. The choice of the metric on the spaces of diffusion tensors has a significant impact on the outcome of this method. Our objective is to suggest metrics and modifications of the algorithms leading to more satisfactory results in the construction of white matter tracts as geodesics. Methods:Starting with the DTI modality, we propose to rescale the initially chosen metric on the space of diffusion tensors to increase the geodetic cost in the isotropic regions. This change should be conformal in order to preserve the angles between crossing fibers. We also suggest to enhance the methods to be more robust to noise and to employ the fourth order tensor data in order to handle the fiber crossings properly. Results: We propose a way to choose the appropriate conformal class of metrics where the metric gets scaled according to tensor anisotropy. We use the logistic functions, which are commonly used in statistics as cumulative distribution functions. To prevent deviation of geodesics from the actual paths, we propose a hybrid ray-tracing approach. Furthermore, we suggest how to employ diagonal projections of 4th order tensors to perform fiber tracking in crossing regions. Conclusions: The algorithms based on the newly suggested methods were succesfuly implemented, their performance was tested on both synthetic and real data, and compared to some of the previously known approaches.

Links

GA20-11473S, research and development project

Name: Symetrie a invariance v analýze, geometrickém modelování a teorii optimálního řízení

Investor: Czech Science Foundation

MUNI/A/0885/2019, interní kód MU

Name: Matematické struktury 9 (Acronym: Matematické struktury 9)

Investor: Masaryk University, Category A

90129, large research infrastructures

Name: Czech-BioImaging II

Citovat

BIHONEGN, Temesgen Tsegaye, Sumit KAUSHIK, Avinash BANSAL, Lubomír VOJTÍŠEK and Jan SLOVÁK. Geodesic fiber tracking in white matter using activation function. Computer Methods and Programs in Biomedicine. Elsevier, 2021, vol. 208, September, p. "106283", 14 pp. ISSN 0169-2607. Available from: https://dx.doi.org/10.1016/j.cmpb.2021.106283.

@article{1786604,
   author = {Bihonegn, Temesgen Tsegaye and Kaushik, Sumit and Bansal, Avinash and Vojtíšek, Lubomír and Slovák, Jan},
   article_number = {September},
   doi = {http://dx.doi.org/10.1016/j.cmpb.2021.106283},
   keywords = {Diffusion Tensor Imaging; Ray-tracing; Metric tensor; Fiber tracking; Geodesic equations},
   language = {eng},
   issn = {0169-2607},
   journal = {Computer Methods and Programs in Biomedicine},
   title = {Geodesic fiber tracking in white matter using activation function},
   url = {https://doi.org/10.1016/j.cmpb.2021.106283},
   volume = {208},
   year = {2021}
}

TY  - JOUR
ID  - 1786604
AU  - Bihonegn, Temesgen Tsegaye - Kaushik, Sumit - Bansal, Avinash - Vojtíšek, Lubomír - Slovák, Jan
PY  - 2021
TI  - Geodesic fiber tracking in white matter using activation function
JF  - Computer Methods and Programs in Biomedicine
VL  - 208
IS  - September
SP  - "106283"
EP  - "106283"
PB  - Elsevier
SN  - 01692607
KW  - Diffusion Tensor Imaging
KW  - Ray-tracing
KW  - Metric tensor
KW  - Fiber tracking
KW  - Geodesic equations
UR  - https://doi.org/10.1016/j.cmpb.2021.106283
N2  - Background and objective:The geodesic ray-tracing method has shown its effectiveness for the reconstruction of fibers in white matter structure. Based on reasonable metrics on the spaces of the diffusion tensors, it can provide multiple solutions and get robust to noise and curvatures of fibers. The choice of the metric on the spaces of diffusion tensors has a significant impact on the outcome of this method. Our objective is to suggest metrics and modifications of the algorithms leading to more satisfactory results in the construction of white matter tracts as geodesics. Methods:Starting with the DTI modality, we propose to rescale the initially chosen metric on the space of diffusion tensors to increase the geodetic cost in the isotropic regions. This change should be conformal in order to preserve the angles between crossing fibers. We also suggest to enhance the methods to be more robust to noise and to employ the fourth order tensor data in order to handle the fiber crossings properly. Results: We propose a way to choose the appropriate conformal class of metrics where the metric gets scaled according to tensor anisotropy. We use the logistic functions, which are commonly used in statistics as cumulative distribution functions. To prevent deviation of geodesics from the actual paths, we propose a hybrid ray-tracing approach. Furthermore, we suggest how to employ diagonal projections of 4th order tensors to perform fiber tracking in crossing regions. Conclusions: The algorithms based on the newly suggested methods were succesfuly implemented, their performance was tested on both synthetic and real data, and compared to some of the previously known approaches.
ER  -

BIHONEGN, Temesgen Tsegaye, Sumit KAUSHIK, Avinash BANSAL, Lubomír VOJTÍŠEK and Jan SLOVÁK. Geodesic fiber tracking in white matter using activation function. \textit{Computer Methods and Programs in Biomedicine}. Elsevier, 2021, vol.~208, September, p.~''106283'', 14 pp. ISSN~0169-2607. Available from: https://dx.doi.org/10.1016/j.cmpb.2021.106283.

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